Articles
- S.A. Nazarov. The asymptotic behavior with respect to a small parameter
of the solution of an elliptic boundary value problem in a domain with a
conical point. Dokl. Akad. Nauk SSSR, 238(4):827-830, 1978. (English
transl.: Sov. Phys. Dokl., 23 (1978), 119-120).
- S.A. Nazarov. The smoothing of singularities of the boundary in twodimensional
problems of the elasticity theory. Studies in elasticity and
plasticity, 12:178-186, 1978. (Russian).
- S.A. Nazarov. Asymptotic behavior with respect to a small parameter
of the solution to a boundary value problem that is elliptic in the sense
of Agranovich-Vishik in a domain with conical point. Probl. Mat. Anal.,
7:146-167, 1979. (Russian).
- S.A. Nazarov. The asymptotics of the bend of a plate containing a crack
on an elastic foundation. Vestnik Leningrad Univ., (2):111-112, 1979.
(Russian).
- S.A. Nazarov. The method of M.I. Vishik and L.A. Lyusternik in domains
with conical points. Dokl. Akad. Nauk SSSR, 245(6):1307-1311, 1979.
(English transl.: Sov. Math. Dokl.,20 (1979), 426-430).
- V.G. Maz'ya, S.A. Nazarov, and B.A. Plamenevskii. Asymptotic solutions
of elliptic boundary value problems when the domain is varied close to
conical points. Dokl. Akad. Nauk SSSR, 249(1):94-96, 1979. (English
transl.: Sov. Phys. Dokl., 24 (1979),904-905).
- S.A. Nazarov. On the index of an elliptic boundary value problem with
a small parameter multiplying the highest derivatives. Differentsial'nye
Uravnenia i ih Primenen., (24):75-85, 1979. (Russian).
- S.A. Nazarov. Principle of virtual work and Rice weighting integrals.
Mekhanika tverd. tela, (1):72-76, 1980. (English transl.: Mech. Solids.
1980. V. 15. P. 64-67).
- N.F. Morozov and S.A. Nazarov. On the stress-strain state in a neighbourhood
of a crack setting on a grain. Studies in elasticity and plasticity,
13:141-148, 1980. (Russian).
- S.A. Nazarov and B.N. Semenov. On the connection between stress intensity
factors for a plane problem of the classical and couple-stress elasticity
theories. Studies in elasticity and plasticity, 1980.
- S.A. Nazarov. The superpower boundary layer in the problem of the
bending of a stressed plate. Vestnik Leningrad Univ., (1):72-80, 1980.
(Russian).
- S.A. Nazarov. Small parameter asymptotics of a solution for a secondorder
differential equation in a manifold with angles. Izv. Vyssh. Uchebn.
Zaved. Mat., 24(9):18-26, 1980. (English transl: Sov. Math., 24, 9 (1980),
18-26).
- V.G. Maz'ya, S.A. Nazarov, and B.A. Plamenevskii. Asymptotic behavior
of solutions of a quasi-linear equation in nonregular perturbed domains.
Differentsial'nye Uravnenia i ih Primenen., (27):17-50, 1980. (Russian).
- S.A. Nazarov. Elliptic boundary-value problems degenerating at a conical
point. Vestnik Leningrad, (19):108-109, 1980. (Russian).
- O.B. Agalaryan and S.A. Nazarov. On the variation of the intensity factor
due to soldering of a longitudinal crack in a prismatic rod. Dokl. Akad.
Nauk. Armenian SSR, 72(1):18-21, 1981. (Russian).
- S.A. Nazarov. On the Noether property and asymptotic solutions of elliptic
boundary-value problems with periodic coeffcients in a cylinder.
Uspehi Mat. Nauk, 36(1):217-218, 1981. (English transl.: Russ. Math.
Surv., 36, 1 (1981), 246-247).
- S.A. Nazarov. Elliptic boundary value problems with periodic coeffcients
in a cylinder. Izv. Akad. Nauk SSSR. Ser. Mat., 45(1):101-112, 1981.
(English transl.: Math. USSR. Izvestija, 18, 1 (1982), 89-98).
- V.G. Maz'ya, S.A. Nazarov, and B.A. Plamenevskii. On the asymptotics
of solutions of the Dirichlet problem in three-dimensional domain with
a slender cavity. Dokl. Akad. Nauk SSSR, 256(1):37-39, 1981. (English
transl: Sov. Math. Dokl., 23 (1981), 32-35).
- V.G. Maz'ya, S.A. Nazarov, and B.A. Plamenevskii. On the asymptotic
behavior of solutions of elliptic boundary value problems with irregular
perturbations of the domain. Probl. Mat. Anal., 8:72-153, 1981. (Russian).
- S.A. Nazarov. Vishik-Lyusternik method for elliptic boundary-value problems
in regions with conical points. 1. The problem in a cone. Sibirsk. Mat.
Zh., 22(4):142-163, 1981. (English transl.: Siberian Math. J., 22 (1982),
594-611).
- O.B. Agalaryan and S.A. Nazarov. Influence on the intensity factor by
soldering of the end of a crack under the elastic twisting. In Studies in
mechanics of solids, pages 23-28. Erevan: Acad. Sci. Armenian SSR, 1981.
(Russian).
- S.A. Nazarov. About construction and application of the Rice integral.
In Studies in mechanics of solids, pages 159-191. Erevan: Acad. Sci. Armenian
SSR, 1981. (Russian).
- V.G. Maz'ya, S.A. Nazarov, and B.A. Plamenevskii. Asymptotics of solutions
to elliptic boundary-value problems under a singular perturbation of
the domain. Tbilisi: Tbilisi Univ., 1981. (Russian).
- S.A. Nazarov. Vishik-Lyusternik method for elliptic boundary-value problems
in regions with conical points. 2. The problem in a bounded region.
Sibirsk. Mat. Zh., 22(5):132-152, 1981. (English transl.: Siberian Math.
J., 22 (1982), 753-769).
- S.A. Nazarov and B.N. Semenov. Asymptotic behavior of solutions to
problems about a thin plate bended by discontinuous loads. Prikl. Mekh.,
(5):135-145, 1981. (Russian).
- V.G. Maz'ya, S.A. Nazarov, and B.A. Plamenevskii. On the asymptotic
behaviour of solutions of the Dirichlet problem in a domain with a thin
tube excluded. Uspehi Mat. Nauk, 36(5):183-184, 1981. (English transl.:
Russ. Math. Surv., 36, 5 (1981), 169-170).
- V.G. Maz'ya, S.A. Nazarov, and B.A. Plamenevskii. Asymptotics of solutions
of the Dirichlet problem in a domain with a truncated thin tube. Mat.
sbornik, 116(2):187-217, 1981. (English transl.: Math. USSR. Sbornik, 44
(1983), 167-194).
- S.A. Nazarov. On the parameter asymptotics of the solution to an elliptic
boundary-value problem with periodic coeffcients in a cylinder. Differentsial'nye
Uravnenia i ih Primenen., 30:27-46, 1981. (Russian).
- S.A. Nazarov. On the singularity exponent of stresses for a crack which
has contact patches concentrating towards a vertex. Dokl. Akad. Nauk
Armenian SSR, 73(1):51-53, 1981. (Russian).
- S.A. Nazarov. On a class of non-quasi-elliptic equations in a cylinder.
Vestnik Leningrad Univ., (1):125-127, 1982. (Russian).
- S.A. Nazarov. Asymptotics of the solution of a nonlinear equation in
the neighborhood of an angular point of the boundary. Mat. Zametki,
31(1):411-420, 1982. (English transl.: Math. Notes, 31 (1982), 211-216).
- V.A. Dudnikov and S.A. Nazarov. Asymptotically exact equations of
thin plates on the basis of Cosserat's theory. Dokl. Akad. Nauk SSSR,
262(2):306-310, 1982. (English transl.: Sov. Phys. Dokl., 27 (1982), 84-
86).
- S.A. Nazarov. The structure of solutions of elliptic boundary value problems
in slender domains. Vestnik Leningrad Univ., (7):65-68, 1982. (English
transl.: Vestn. Leningr. Univ. Math., 15 (1983), 99-104).
- V.P. Zhuravlev, S.A. Nazarov, and B.A. Shoikhet. Asymptotics of the
stress-strain state near the tip of a crack in an inhomogeneously aging
bodies. Dokl. Akad. Nauk Armenian SSR., 74(1):26-29, 1982. (Russian).
- V.G. Maz'ya, S.A. Nazarov, and B.A. Plamenevskii. Asymptotics of the
solution of the Dirichlet problem in domains with a thin crosspiece. Funkt.
Anal. i Prilozhen., 16(2):39-46, 1982. (English transl.: Funct. Anal. Appl.,
16 (1982), 108-114).
- N.F. Morozov and S.A. Nazarov. About calculating of the energy increment
in the Griffth problem. Studies in elasticity and plasticity, 14:3-9,
1982. (Russian).
- V.G. Maz'ya, S.A. Nazarov, and B.A. Plamenevskii. Absence of De Giorgitype
theorems for strongly elliptic equations with complex coeffcients.
Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov, 115:156-168,
1981. (English transl.: J. Sov. Math., 28 (1985), 726-734).
- S.A. Nazarov. Regular degeneration of elliptic systems with a small parameter
multiplying the highest derivatives. Vestnik Leningrad Univ.,
(3):106-108, 1982. (Russian).
- S.A. Nazarov and A.S. Slutskii. One property of the solutions of nonlinear
equilibrium equations near singularities. Izv. Vyssh. Uchebn. Zaved. Mat.,
(9):36-39, 1982. (English transl.: Sov. Math., 26, 9 (1982), 48-52).
- V.G. Maz'ya, S.A. Nazarov, and B.A. Plamenevskii. On homogeneous solution
of the Dirichlet problem in the exterior of a slender cone. Dokl.Akad.
Nauk SSSR, 266(2):281-284, 1982. (English transl.: Sov. Math. Dokl., 26
(1982), 320-323).
- N.Kh. Arutyunyan, S.A. Nazarov, and B.A. Shoikhet. Bounds and the
asymptote of the stress-strain state of a threedimensional body with a
crack in elasticity theory and creep theory. Dokl. Akad. NaukSSSR,
266(6):1365-1369, 1982. (English transl.: Sov. Phys. Dokl., 27 (1982),
817-819).
- S.A. Nazarov and Yu.A. Romashev. Variation of the intensity factor under
rupture of the ligament between two collinear cracks. Izv. Akad. Nauk
Armenian SSR. Mekh., (4):30-40, 1982. (Russian).
- S.A. Nazarov. Asymptotics of solutions to elliptic equations in thin domains
with piecewise smooth boundaries. Differentsial'nye Uravnenia i ih
Primenen., 33:62-83, 1982. (Russian).
- V.A. Dudnikov and S.A. Nazarov. Asymptotically exact equations of thin
plates based on the Cosserat theory. Trudy Tbilis. Univ., 232/233:117-
150, 1982. (Russian).
- S.A. Nazarov and B.A. Shoikhet. Asymptotic behavior of the solution of a
certain integro-differential equation near an angular point of the boundary.
Mat. Zametki, 33(4):583-594, 1983. (English transl.: Math. Notes, 33
(1983), 300-306).
- N.Kh. Arutyunyan and S.A. Nazarov. On singularities of the stress function
at the corner points of the transverse cross-section of a twisted bar
with a thin reinforcing layer. Prikl. Mat. Mekh., 47(1):122-132, 1981.
(English transl.: J. Appl. Math. Mech., 47 (1984), 94-103).
- V.P. Zhuravlev, S.A. Nazarov, and B.A. Shoikhet. Asymptotics near the
tip of a crack of the state of stress and strain of inhomogeneously aging
bodies. Prikl. Mat. Mekh., 47(2):200-208, 1983. (English transl.: J. Appl.
Math. Mech., 47 (1984), 162-170).
- S.A. Nazarov and K.I. Piletskas. On the behavior of solutions of the Stokes
and Navier-Stokes systems in domains with a periodically varying section.
Trudy Mat. Inst. Steklov, 159:95-102, 1983. (English transl.: Proc. Steklov
Inst. Math., 159 (1984), 97-104).
- V.G. Maz'ya, S.A. Nazarov, and B.A. Plamenevskii. Evaluation of the
asymptotic form of the "intensity coeffcients" on approaching corner or
conical points. Zh. Vychisl. Mat. i Mat. Fiz., 23(2):333-346, 1983. (English
transl.: USSR Comput. Math. Math. Phys., 23, 2 (1983), 50-58).
- S.A. Nazarov. Stress-strain state at a point of accumulation of collinear
microcracks. Vestnik Leningrad Univ., (13):63-68, 1983. (Russian).
- V.A. Dudnikov and S.A. Nazarov. A relation between the intensity factors
in classical and couple-stress elasticity theory. Mekhanika tverd. tela,
(3):185-187, 1983. (Russian).
- V.G. Maz'ya, S.A. Nazarov, and B.A. Plamenevskii. On the bending of a
nearly polygonal plate with freely supported boundar. Izv. Vyssh. Uchebn.
Zaved. Mat., (8):34-40, 1983. (English transl.: Sov. Math., 27, 8 (1983),
40-48).
- S.A. Nazarov and I.S. Zorin. Asymptotic form of the stress-strain state of
an elastic space with a rigid toroidal inclusion. Dokl. Akad. Nauk SSSR,
272(6):1340-1343, 1983. (English transl.: Sov. Phys. Dokl., 28 (1983),
900-902).
- S.A. Nazarov and B.A. Shoikhet. Coercive estimates in weighted spaces
of solutions of problems of elasticity and creep theory in a region with a
two-dimensional crack. Izv. Akad. Nauk Armenian SSR., (4):12-25, 1983.
(Russian).
- N.Kh. Arutyunyan, S.A. Nazarov, and B.A. Shoikhet. Asymptotics of
solutions to problems of the creep theory for inhomogeneously aging bodies
with two-dimensional cracks. Izv. Akad. Nauk Armenian SSR.Mekh.,
(5):17-30, 1983. (Russian).
- V.G. Maz'ya, S.A. Nazarov, and B.A. Plamenevskii. On the singularities
of solutions of the Dirichlet problem in the exterior of a slender cone. Mat.
sbornik, 122(4):435-456, 1983. (English transl.: Math. USSR Sbornik, 50
(1985), 415-437).
- S.A. Nazarov. Introduction to asymptotic methods of the elasticity theory.
Leningrad: Leningrad Univ., 1983. (Russian).
- S.A. Nazarov. Asymptotics at infinity for a solution of the von Neumann
problem with conjugate conditions in an angle. Izv. Vyssh. Uchebn. Zaved.
Mat., (1):18-25, 1984. (English transl.: Sov. Math., 28, 1 (1984), 19-27).
- S.A. Nazarov and A.V. Proskura. Asymptotically exact equation of bending
of a beam on an elastic foundation. Vestnik Leningrad Univ., (1):68-72,
1984. (English transl.: Leningr. Univ. Mech. Bull., (1984), 19-27).
- V.G. Maz'ya, S.A. Nazarov, and B.A. Plamenevskii. Dirichlet problem
in domains with thin bridges. Sibirsk. Mat. Zh., 25(2):161-179, 1984.
(English transl.: Siberian Math. J., 25 (1984), 297-313).
- V.G. Maz'ya, S.A. Nazarov, and B.A. Plamenevskii. Asymptotic expansions
of the eigenvalues of boundary value problems for the Laplace operator
in domains with small holes. Izv. Akad. Nauk SSSR. Ser. Mat.,
48(2):347-371, 1984. (English transl.: Math. USSR Izvestiya, 24 (1985),
321-345).
- V.G. Maz'ya and S.A. Nazarov. On the Sapongyan-Babuska paradox in
problems of the theory of thin plates. Dokl. Akad. Nauk Armenian SSR,
78(3):127-130, 1984. (Russian).
- S.A. Nazarov. Vishik-lyusternik method for elliptic boundary-value problem
in domains with conical points. 3. Problem with degeneracy at a
conical poin. Sibirsk. Mat. Zh., 25(6):106-115, 1984. (English transl.:
Siberian Math. J., 25 (1984), 917-925).
- V.G. Maz'ya, S.A. Nazarov, and B.A. Plamenevskii. Elliptic boundaryvalue
problems in domains of the exterior-of-a-cusp type. Probl. Mat.
Anal., 9:105-148, 1984. (English transl.: J. Sov. Math., 35 (1986), 2227-
2256).
- S.A. Nazarov and M.V. Paukshto. Discrete models and homogenization
in problems of the elasticity theory. Leningrad: Leningrad Univ., 1984.
(Russian).
- S.A. Nazarov and K.I. Piletskas. Asymptotics of the solution of the nonlinear
Dirichlet problem having a strong singularity near a corner point.
Izv. Akad. Nauk SSSR. Ser. Mat., 48(6):1225-1244, 1985. (English transl.:
Math. USSR Izvestiya, 25 (1985), 531-550).
- S.A. Nazarov and I.S. Zorin. The strain-stress state of an elastic space
with a thin toroidal inclusion. Mekhanika tverd. tela, (3):79-86, 1985.
(Russian).
- S.A. Nazarov. On the constants in the asymptotic expansion of solutions
of elliptic boundary value problems with periodic coeffcients in a cylinder.
Vestnik Leningrad Univ., (15):16-22, 1985. (English transl.: Vestn.
Leningrad Univ. Math., 18, 3 (1985), 17-22).
- A.B. Movchan and S.A. Nazarov. Asymptotics of the strain-stress state
near to a spatial spike-shaped inclusion. Mekhanika kompozitn. materialov,
(5):792-800, 1985. (Russian).
- V.G. Maz'ya and S.A. Nazarov. The vertex of a cone can be nonregular
in the Wiener sense for a fourth-order elliptic equation. Mat. Zametki,
39(1):24-28, 1986. (English transl.: Math. Notes, 39 (1986), 14-16).
- S.A. Nazarov. Justification of asymptotic expansions of the eigenvalues of
nonselfadjoint singularly perturbed elliptic boundary value problems. Mat.
sbornik, 129(3):307-337, 1986. (English transl.: Math. USSR Sbornik,
(1987), 317-349).
- A.B. Movchan and S.A. Nazarov. The stress-strain state at the top of a
sharp inclusion. Mekhanika tverd. tela, (3):155-163, 1986. (Russian).
- S.A. Nazarov and K.I. Piletskas. Weighted function spaces with
anisotropic weight distribution. Litovsk. mat. sbornik, 26(1):99-112, 1986.
(English transl.: Lithuanian Math. J., 26 (1986), 62-73).
- N.Kh. Arutunyan, A.B. Movchan, and S.A. Nazarov. On correct formulations
of Lekhnitskii problem. Prikl. Mat. Mekh., 50(2):237-246, 1986.
(English transl.: J. Appl. Math. Mech., 50 (1986), 174-182).
- S.N. Leora, S.A. Nazarov, and A.V. Proskura. Derivation of limiting equations
for elliptic problems in thin domains using computers. Zh. Vychisl.
Mat. i Mat. Fiz., 26(7):1032-1048, 1986. (English transl.: USSR Comput.
Math. Math. Phys., 26, 4 (1986), 47-58).
- P.K. Chernyaev and S.A. Nazarov. Antiplane shear of a domain with two
closely located cracks. Prikl. Mat. Mekh., 50(5):815-825, 1985. (English
transl.: J. Appl. Math. Mech., 50 (1986), 629-637).
- A.B. Movchan and S.A. Nazarov. Asymptotic behavior of the stressstrain
state in the vicinity of sharp inclusions. Dokl. Akad. Nauk SSSR,
290(1):48-51, 1986. (English transl.: Sov. Phys. Dokl., 31 (1986), 772-
774).
- S.A. Nazarov and B.N. Semenov. Asymptotics of solutions to the problems
of mechanics of cracks in the couple-stress formulation. Studies in
elasticity and plasticity, 15:118-135, 1986. (Russian).
- N.F. Morozov, S.A. Nazarov, and A.V. Proskura. Boundary value problems
of the elasticity theory for plane domains with thin borderings. In
Mekhanika deform. tel, pages 82-93. Moscow: Nauka, 1986. (Russian).
- V.G. Maz'ya and S.A. Nazarov. Paradoxes of limit passage in solutions of
boundary value problems involving the approximation of smooth domains
by polygonal domains. Akad. Nauk SSSR. Ser. Mat., 50(6):1156-1177,
1986. (English transl.: Math. USSR Izvestiya., 29 (1987), 511-533).
- A.B. Movchan, S.A. Nazarov, and N.F. Morozov. Cracks with smoothly
closing edges under plane deformation. Prikl. Mat. Mekh., 51(1):130-139,
1987. (English transl.: J. Appl. Math. Mech., 51, 1 (1987), 99-107).
- A.B. Movchan and S.A. Nazarov. The strain-stress state of a plane domain
with a thin elastic inclusion of a finite size. Mekhanika tverd. tela, (1):75-
83, 1987. (Russian).
- V.G. Maz'ya and S.A Nazarov. The asymptotic behavior of energy integrals
under small perturbations of the boundary near corner points and
conical points. Trudy Moskov. Mat. Obshch., 50:79-129, 1987. (English
transl.:Trans. Mosc. Math. Soc., 50 (1988), 77-127).
- S.A. Nazarov. Singularities of the gradient of the solution of the Neumann
problem at the vertex of a cone. Mat. Zametki, 42(1):79-93, 1987. (English
transl.: Math. Notes, 41, 1/2 (1987), 555-563).
- S.A. Nazarov. Asymptotics of eigenvalues of the Dirichlet problem in a
thin domain. Izv. Vyssh. Uchebn. Zaved. Mat., (11):54-64, 1987. (English
transl.: Sov. Math., 31, 11 (1987), 68-80).
- S.A. Nazarov, L.P. Trapeznikov, and B.A. Shoikhet. On the correspondence
principle in the plane creep problem of aging homogeneous media
with developing slits and cavities. Prikl. Mat. Mekh., 51(3):504-512, 1987.
(English transl.: J. Appl. Math. Mech., 51, 3 (1987), 392-399).
- S.A. Nazarov and K.I. Piletskas. Estimates of the solutions of the Dirichlet
problem for some equation with a small parameter at the highest derivatives.
Litovsk. mat. sbornik, 27(2):327-343, 1987. (English transl.: Lithuanian
Math. J., 27, 2 (1987), 145-156).
- S.A. Nazarov and K.I. Piletskas. Estimates, uniform with respect to a
complex parameter, of solutions of an ordinary second-order differential
equation. Litovsk. mat. sbornik, 27(3):508-522, 1987. (English transl.:
Lithuanian Math. J., 27, 3 (1987), 244-254).
- S.A. Nazarov. Asymptotic expansions of eigenvalues. Leningrad:
Leningrad Univ., 1987. (Russian).
- S.A. Nazarov. Intensity factors in the problems of antiplane shear and
ideal liquid flow in thin domains with a longitudinal cut. Izv. Akad. Nauk
Armenian SSSR. Mekh., 40(5):24-34, 1987. (Russian).
- N. Kh. Arutyunyan, A.B. Movchan, and S.A. Nazarov. Behavior of solutions
to problems of the elasticity theory in unbounded domains with
paraboloidal and cylindrical inclusions and cavities. Uspekhi mekhaniki,
(4):3-91, 1987. (Russian).
- S.A. Nazarov and B.A. Shoikhet. Ellipticity of plane stress problem of
elasticity theory. Izv. Vyssh. Uchebn. Zaved. Mat., (1):57-66, 1988. (English
transl.: Sov. Math., 32, 1 (1988), 71-83).
- S.A. Nazarov. Estimates near the edge of the solution of the Neumann
problem for an elliptic system. Vestnik Leningrad. Univ., (1):37-42, 1988.
(English transl.: Vestn. Leningr. Univ. Math., 21, 1 (1988), 52-59).
- S.A. Nazarov. Local stability and nonstability of mode-one cracks.
Mekhanika tverd. tela, (3):124-129, 1988. (English transl.: Mech. Solids,
23 (1988), 117-122).
- P.K. Chernyaev and S.A. Nazarov. Application of the beam theory of
cracks. Vestnik Leningrad. Univ., (15):104-106, 1988. (English transl.:
Leningr. Univ. Mech. Bull., 3 (1988), 58-60).
- A.B. Movchan, S.A. Nazarov, and O.R. Polyakova. On the stress concentration
near to soft and hard spike-shaped inclusions. Mekhanika tverd.
tela, (4):106-113, 1988. (Russian).
- Yu.D. Golovatyi, S.A. Nazarov, O.A. Oleinik, and T.S. Soboleva.
Eigenoscillations of a string with an additional mass. Sibirsk. Mat. Zh.,
29(5):71-91, 1988. (English transl.: Siberian Math. J., 29, 5 (1988), 744-
760).
- S.A. Nazarov. Boundary value problems for single-characteristic equations.
1. The characteristic is transversal to the boundary. Differentsial'nye
Uravnenia i ih Primenen., 42:42-58, 1988. (Russian).
- Yu.D. Golovatyi, S.A. Nazarov, and O.A. Oleinik. The asymptotic behaviour
of eigenvalues and eigenfunctions in problems on vibrations of a
medium with singular perturbation of the density. Uspehi Mat. Nauk,
43(5):189-190, 1988. (English transl.: Russ. Math. Surveys, 43, 5 (1988),
229-230).
- A.B. Movchan, S.A. Nazarov, and I.S Zorin. Application of the elastic
polarization tensor in the problems of the crack mechanics. Mekhanika
tverd. tela, (6):128-134, 1988. (Russian).
- S.A. Nazarov. Selfadjoint extensions of the Dirichlet problem operator in
weighted function spaces. Mat. sbornik, 137(2):224-241, 1988. (English
transl.: Math. USSR Sbornik, 65, 1 (1990), 229-247).
- S.A. Nazarov and Yu.A. Romashev. The energy balance and the stability
of the crack propagation in the framework of the deformation criterion of
fracture. Fiz.-khim. mekhanika materialov, (6):44-49, 1988. (Russian).
- S.A. Nazarov. Nonlinear effects in deformation of composites with a regular
family of microcracks. Mekhanika kompozitn. materialov, (6):1052-
1059, 1988. (Russian).
- N.V. Movchan and S.A. Nazarov. Stress singularities at vertices of conic
inclusions. Dinamika Sploshn. Sredy, 87:97-105, 1988. (Russian).
- A.B. Movchan, N.F. Morozov, and S.A. Nazarov. Fracture near peakshaped
inclusions with interference fit. In Plasticity and fracture of solids,
pages 137-145. Moscow: Nauka, 1988. (Russian).
- S.A. Nazarov. Derivation of the variational inequality for small increase
of mode-one crack. Mekhanika tverd. tela, (2):152-160, 1988. (English
transl.: Mech. Solids, 24 (1989), 145-152).
- S.A. Nazarov and Yu.A. Romashev. Energy variation in the Griffth problem
in a Cosserat continuum. Vestnik Leningrad. Univ., (8):55-58, 1989.
(English transl.: Leningr. Univ. Mech. Bull., 2 (1989), 26-30).
- V.G. Maz'ya and S.A. Nazarov. Singularities of solutions of the Neumann
problem at a conical point. Sibirsk. Mat. Zh., 30(3):52-63, 1989. (English
transl.: Siberian Math. J., 30, 3 (1989), 387-396).
- S.A. Nazarov and I.S. Zorin. Edge effect in the bending of a thin threedimensional
plate. Prikl. Mat. Mekh., 53(4):642-650, 1989. (English
transl.: J. Appl. Math. Mech., 53, 4 (1989), 500-507).
- A.B. Movchan, N.F. Morozov, and S.A. Nazarov. Three-dimensional crack
with gradually converging sides. Vestnik Leningrad. Univ., (15):60-62,
1989. (English transl.: Leningr. Univ. Mech. Bull., 3 (1989), 30-33).
- S.A. Nazarov. Asymptotic behavior of the solution of an elliptic boundary
value problem in a thin domain. Probl. Mat. Anal., 11:191-208, 1990.
(English transl.: J. Sov. Math., 64, 6 (1993), 1351-1362).
- S.A. Nazarov. Behavior at infinity of the solutions of Lam`e and Stokes
systems in a sector of a layer. Dokl. Akad. Nauk Armenian SSR, 87(4):156-
159, 1988. (Russian).
- S.A. Nazarov. A Sanchez-Palencia problem with Neumann boundary conditions.
Izv. Vyssh. Uchebn. Zaved. Mat., (11):60-66, 1989. (English
transl.: Sov. Math., 33, 11 (1989), 73-78).
- V.G. Maz'ya, N.F. Morozov, and S.A. Nazarov. On the elastic strain energy
release due to the variation of the domain near the angular stress
concentrator. Preprint LiTH-MATH-R-90-21, Linköping University, Sweden,
1990. 35 p.
- M.V. Babich, M.I. Ivanov, A.B. Movchan, S.A. Nazarov, and I.S. Zorin.
Integral characteristics for problems of the elasticity theory. Preprint P-
6-89, Leningrad. otd. Mat. inst. Steklov, 1989. 62 p. (Russian).
- N.Kh. Arutyunyan, A.B. Movchan, and S.A. Nazarov. On asymptotic
interpretation of solutions to the Lekhnitskii problem. Prikl. Mat. i Tekhn.
Fiz., (5):123-127, 1989. (Russian).
- A.B. Movchan and S.A. Nazarov. Stress-strain state near the tip of a
perfectly rigid three-dimensional spike introduced into an elastic body.
Prikl. mekh., 25(12):10-19, 1989. (English transl.: Sov. Appl. Mech., 25,
12 (1989), 1172-1180).
- S.A. Nazarov. A Dirichlet problem for an elliptic system with periodic
coeffcients in the angular domain. Vestnik Leningrad. Univ., (1):32-35,
1990. (English transl.: Vestn. Leningr. Univ. Math., 23, 1 (1990), 33-35).
- S.A. Nazarov. Perturbations of solutions of the Signorini problem for a
second-order scalar equation. Mat. Zametki, 47(1):131-144, 1990. (English
transl.: Siberian Math. J., 31, 2 (1990), 296-307).
- S.A. Nazarov. Asymptotic solution of the Navier-Stokes problem on the
flow of a thin layer of fluid. Sibirsk. Mat. Zh., 31(2):131-144, 1990. (English
transl.: Siberian Math. J., 31, 2 (1990), 296-307).
- S.A. Nazarov and O.R. Polyakova. Stress intensity factors for parallel
cracks lying close together in a plane region. Prikl. Mat. Mekh., 54(1):132-
141, 1990. (English transl.: J. Appl. Math. Mech., 54, 1 (1990), 107-115).
- A.B. Movchan, S.A. Nazarov, and I.S. Zorin. Application of tensors of
elastic capacity, polarization and associated deformation. Studies in elasticity
and plasticity, 16:75-91, 1990. (Russian).
- S.A. Nazarov. Elliptic inequalities for thin elastic bodies with a small friction
coeffcient. Differentsial'nye Uravneniya, 26(4):667-687, 1990. (English
transl.: Differ. Equations, 26, 4 (1990), 498-507).
- N.V. Movchan and S.A. Nazarov. On the state of stress and strain near
cone apices. Prikl. Mat. Mekh., 54(2):281-293, 1990. (English transl.: J.
Appl. Math. Mech., 54, 2 (1990), 231-242).
- A.B. Movchan and S.A. Nazarov. Formation of a Griffth's crack in a
nonuniform stress field. Fiz.- khim. mekhanika materialov, (1):26-31,
1990. (English transl.: Soviet Materials Science, 26, 1 (1990), 23-27).
- S.A. Nazarov. Weight functions and invariant integrals. Vychisl. Mekh.
Deform. Tverd. Tela, 1:17-31, 1990. (Russian).
- S.A. Nazarov. Two-term asymptotics of solutions of spectral problems
with singular perturbations. Mat. sbornik, 181(3):291-320, 1990. (English
transl.: Math. USSR. Sbornik, 69, 2 (1991), 307-340).
- S.A. Nazarov and B.A. Plamenevskii. On radiation conditions for selfadjoint
elliptic problems. Dokl. Akad. Nauk SSSR, 311(3):532-536, 1990.
(English transl.: Sov. Math. Dokl., 41, 2 (1990), 274-277).
- S.A. Nazarov and B.A. Plamenevskii. Neumann problem for selfadjoint
elliptic systems in a domain with piecewise smooth boundary. Trudy
Leningrad. Mat. Obshch., 1:174-211, 1990. (English transl.: Trans. Am.
Math. Soc. Ser. 2, 155 (1993), 169-206).
- S.A. Nazarov. Asymptotic solution of variational inequalities for a linear
operator with a small parameter on the highest derivatives. Izv. Akad.
Nauk SSSR. Ser. Mat., 54(4):754-773, 1990. (English transl.: Math.
USSR. Izvestiya,37, 1 (1991), 97-117).
- S.A. Nazarov and B.A. Plamenevskii. Asymptotics of the spectrum of the
Neumann problem in singularly perturbed thin domains. Algebra Analiz,
2(2):85-111, 1990. (English transl.: Leningr. Math. J., 2, 2 (1991), 287-
311.
- N.V. Movchan and S.A. Nazarov. Asymptotics of singularity exponents
at the tip of an angular crack. Vestnik Leningrad. Univ., (15):34-38, 1990.
(English transl.: Vestn. Leningr. Univ. Math., 23, 3 (1990), 44-48).
- S.A. Nazarov. Averaging of boundary value problems in a domain containing
a thin cavity with periodically varying cross-section. Trudy Moskov.
Mat. Obshch., 53:98-129, 1990. (English transl.: Trans. Mosc. Math. Soc.,
53 (1991), 101-134).
- S.A. Nazarov. Asymptotic solution of a variational inequality modeling
friction. Izv. Akad. Nauk SSSR. Ser. Mat., 54(5):990-1020, 1990. (English
transl.: Math. USSR Izvestiya, 37, 2 (1991), 337-369).
- S.A. Nazarov. Elastic capacity and polarization of a defect in an elastic
layer. Mekhanika tverd. tela., (5):57-65, 1990. (Russian).
- Yu.D. Golovaty, S.A. Nazarov, and O.A. Oleinik. Asymptotic expansions
of eigenvalues and eigenfunctions in problems on oscillations of a medium
with concentrated perturbations. Trudy Mat. Inst. Steklov, 192:49-60,
1990. (English transl.: Proc. Steklov Inst. Math., 192 (1992), 42-60).
- A.B. Movchan and S.A. Nazarov. Cracks in composite materials. 1. Se
miinfinite
crack in an elastic plane with an orthotropic composite strip.
Mekhanika kompozitn. materialov, (5):842-851, 1990. (English transl.:
Mechanics of Composite Materials, 26, 5 (1990), 614-621).
- A.B. Movchan and S.A. Nazarov. Cracks in composite materials. 2. Finite
crack in the orthotropic composite plane. Mekhanika kompozitn. materialov,
(6):1038-1046, 1990. (English transl.: Mechanics of Composite
Materials, 26, 5 (1990), 750-757).
- S.A. Nazarov and K.I. Pileckas. Reynolds flow of a fluid in a thin threedimensional
channel. Litovsk. mat. sbornik, 30(4):772-783, 1990. (English
transl.:Lithuanian Math. J., 30, 4 (1990), 366-375).
- S.A. Nazarov and O.R. Polyakova. Fracture of a narrow bridge between
cracks lying in the same plane. Prikl. Mat. Mekh., 55(1):165-173, 1991.
(English transl.: J. Appl. Math. Mech., 55, 1 (1991), 128-135).
- S.A. Nazarov. Asymptotics of the Stokes system solutions at a surfaces
contact point. C. R. Acad. Sci. Paris. S'er. 1, 312:207-211, 1991.
- S.A. Nazarov. On three-dimensional effects near the vertex of a crack in a
thin plate. Mat. Zametki, 55(3):500-510, 1991. ( English transl.: J. Appl.
Math. Mech., 55, 3 (1991), 407-415).
- S.A. Nazarov. Asymptotics of the solution of a Dirichlet problem in an
angular domain with a periodically changing boundary. Mat. Zametki,
49(5):86-96, 1991. English transl.: Math. Notes, 49, 5 (1991), 502-509).
- W.G. Mazja, S.A. Nasarow, and B.A. Plamenewski. Asymptotische Theorie
elliptischer Randwertaufgaben in singulär gestörten Gebieten, volume
1. Berlin: Akademie-Verlag, 1991. (German).
- S.A. Nazarov. The spatial structure of the stress field in the neighbourhood
of the corner point of a thin plate. Prikl. Mat. Mekh., 55(4):653-661, 1991.
(English transl.: J. Appl. Math. Mech., 55, 4 (1991), 523-530).
- N.V. Alfutova, A.B. Movchan, and S.A. Nazarov. Algebraic equivalence of
plane problems for orthotropic and anisotropic media. Vestnik Leningrad.
Univ., (15):64-68, 1991. (English transl.: Leningr. Univ. Mech. Bull., 3
(1991), 1-6.
- S.A. Nazarov and B.A. Plamenevskii. Radiation principles for self-adjoint
elliptic problems. Probl. Mat. Fiz., 13:192-244, 1991. (Russian).
- A.B. Movchan and S.A. Nazarov. The unfluence of small surface irregularities
on the stress state of a body and the energy balance for a growing
crack. Prikl. Mat. Mekh., 55(5):819-828, 1991. (English transl.: J. Appl.
Math. Mech., 55, 5 (1991), 691-701).
- A.B. Movchan and S.A. Nazarov. Possibility of stress singularities at
the tip of a spike shaped inclusion. Fiz.-khim. mekhanika materialov,
(2):98-102, 1991. (English transl.: Soviet Materials Science, 27, 2 (1991),
191-195).
- S.A. Nazarov. Asymptotics of the solution of the Dirichlet problem for an
equation with rapidly oscillating coeffcients in a rectangle. Mat. sbornik,
182(5):692-722, 1991. (English transl.: Math. USSR Sbornik, 73, 1 (1992),
79-110).
- S.A. Nazarov and I.S. Zorin. Two-term asymptotics of the solution to
the problem on longitudinal deformation of a plate clamped at the edge.
Vychisl. Mekh. Deform. Tverd. Tela, 2:10-21, 1992. (Russian).
- A.B. Movchan, S.A. Nazarov, and O.R. Polyakova. The quasistatic growth
of a semi-infinite crack in a plane containing small defects. C. R. Acad.
Sci. Paris. S'er. 2, 313:1223-1228, 1991.
- S.A. Nazarov and Plamenevskii B.A. Elliptic Problems in Domains with
Piecewise Smooth Boundaries. Moscow: Nauka, 1991. (Russian).
- W.G. Mazja, S.A. Nasarow, and B.A. Plamenewski. Asymptotische Theorie
elliptischer Randwertaufgaben in singulär gestörten Gebieten, volume
2. Berlin: Akademie-Verlag, 1991. (German).
- S.A. Nazarov. The Korn inequalities which are asymptotically sharp for
thin domains. Vestnik St.-Petersburg. Univ., (8):19-24, 1992. (English
transl.: Vestn. St.Petersburg Univ. Math., 25, 2 (1992), 18-22).
- A.B. Movchan, S.A. Nazarov, and O.R. Polyakova. Increment of the stress
intensity factors due to elongation of a curvelinear crack. Mekhanika tverd.
tela, (1):84-93, 1992. (Russian).
- S.A. Nazarov and O.R. Polyakova. On the equivalence of the fracture
criteria for a mode-one crack in an elastic space. Mekhanika tverd.tela,
(2):101-113, 1992. (Russian).
- S.A. Nazarov and O.R. Polyakova. Asymptotic expansions of eigenvalues
of the Neumann problem in a domain with a thin bridge. Sibirsk. Mat. Zh.,
33(4):80-96, 1992. (English transl.: Sib. Math. J., 33, 4 (1992), 618-633).
- S.A. Nazarov and B.A. Plamenevskii. Selfadjoint elliptic problems with radiation
conditions on the edges of the boundary. Algebra Analiz, 4(3):196-
225, 1992. (English transl.: St.Petersburg Math. J., 4, 3 (1993), 569-594).
- S.A. Nazarov. Asymptotics of solutions to the Signorini problem without
friction or with small friction. Probl. Mat. Anal., 12:82-109, 1992.
(Russian).
- S.A. Nazarov and B.A. Plamenevskii. A generalized Green's formula for
elliptic problems in domains with edges. Probl. Mat. Anal., 13:106-147,
1992. (English transl.: J. Math. Sci., 73, 6 (1995), 674-700).
- S.A. Nazarov. Three-dimensional effects at plate crack tips. C. R. Acad.
Sci. Paris. S'er. 2, 314:995-1000, 1992.
- S.A. Nazarov and O.R. Polyakova. Deformation of elastic bodies with
thin ligaments. Prikl. Mat. Mekh., 50(5):52-65, 1991. (English transl.: J.
Appl. Math. Mech., 56, 5 (1992), 651-664).
14
- S.A. Nazarov. Asymptotics of the solution to a boundary value problem
in a thin cylinder with nonsmooth lateral surface. Izv. Ross. Akad. Nauk.
Ser. Mat., 57(1):202-239, 1993. (English transl.: Math. Izvestiya, 42, 1
(1994), 183-217).
- S.A. Nazarov and B.A. Plamenevskii. Elliptic problems with radiation
conditions on edges of the boundary. Mat. sbornik, 183(10):13-44, 1992.
(English transl.: Sb. Math., 77, 1 (1994), 149-176).
- L.H. Kolton and S.A. Nazarov. Quasistatic propagation of a mode-1 crack
in an elastic space. C. R. Acad. Sci. Paris. S'er. 2., 315:1453-1457, 1992.
- S.A. Nazarov. New series of asymptotics of eigenvalues of the Sturm-
Liouville problem with rapidly oscillating coeffcients. Mat. Zametki,
52(5):83-87, 1992. (English transl.: Math. Notes, 52, 5 (1992), 1134-
1136).
- A.B. Movchan and S.A. Nazarov. Asymptotic behavior of stress-strain
state in the vicinity of sharp defects in an elastic body. IMA J.Appl.
Math., 49(3):245-272, 1992.
- S.A. Nazarov and I.S. Zorin. Asymptotics of the energy integrals for
problems with small parameter at higher derivatives. Izv. Vyssh. Uchebn.
Zaved. Mat., (1):12-16, 1993. (English transl.: Russ. Math., 37, 1 (1993),
10-15).
- S.A. Nazarov. Concentrated masses problems for a spatial elastic body.
C. R. Acad. Sci. Paris. S'er. 1., 316(12):1329-1334, 1993.
- S.A. Nazarov and B.A. Plamenevskij. On the Neumann problem in domains
with edges. In Analysis on manifolds with singularities (Breitenbrunn,
1990, volume 131, pages 144-157. Stuttgart: Teubner-Texte Math.,
1992.
- I.I. Argatov and S.A. Nazarov. Junction problem of shashlik (skewer)
type. C. R. Acad. Sci. Paris. S'er. 1., 316(6):627-632, 1993.
- S.A. Nazarov and O.R. Polyakova. Asymptotic behavior of the stressstrain
state near a spatial singularity of the boundary of the beak tip
type. Prikl. Mat. Mekh., 57(5):130-149, 1993. (English transl.: J. Appl.
Math. Mech., 57, 5 (1993), 887-902).
- S.A. Nazarov and O.R. Polyakova. Deformation and tear-off of a thin
gasket from hardly compressible material. Mechanika tverd. tela, (5):123-
134, 1993. (Russian).
- S.A. Nazarov. Interaction of concentrated masses in a harmonically oscillating
spatial body with Neumann boundary conditions. RAIRO Model.
Math. Anal. Numer., 27(6):777-799, 1993.
- S.A. Nazarov and K. Pileckas. On noncompact free boundary problems
for the plane stationary Navier-Stokes equations. J. reine angew Math.,
438:103-141, 1993.
- T.A. Mel'nik and S.A. Nazarov. The asymptotic structure of the spectrum
in the problem of harmonic oscillations of a hub with heavy spokes. Dokl.
Ross. Akad. Nauk, 333(1):13-15, 1993. (English transl.: Russ. Acad. Sci.
Dokl. Math., 48, 3 (1994), 428-432).
- S.A. Nazarov and M.V. Olyushin. Perturbation of eigenvalues of the Neumann
problem due to variations of a domain's boundary. Algebra Analiz,
5(2):169-188, 1993. (English transl.: St. Peterburg Math. J., 5, 2 (1994),
371-387).
- S.A. Nazarov and O.R. Polyakova. The Griffth criterion for a separation
crack with nonlinear effects in the tip zones. Dokl. Ross. Akad. Nauk,
335(2):182-184, 1994. (English transl.: Phys. Dokl., 39, 3 (1994), 199-
201).
- S.A. Nazarov. Asymptotics of the solution of the Neumann problem at a
point of tangency of smooth components of the boundary of the domain.
Izv. Ross. Akad. Nauk. Ser. Mat., 58(1):92-120, 1994. (English transl.:
Math. Izvestiya, 44, 1 (1995), 91-118).
- I.I. Argatov and S.A. Nazarov. Asymptotic solution to the Signorini problem
with small parts of the free boundary. Siberian Mat. Zh., 35(2):258-
277, 1994. (English transl.: Sib. Math. J., 35, 2 (1994), 231-249).
- I.I. Argatov and S.A. Nazarov. Asymptotic solution of the problem of an
elastic body lying on several small supports. Prikl. Mat. Mekh., 58(2):110-
118, 1994. (English transl.: J. Appl. Math. Mech., 58, 2 (1994), 303-311).
- S.A. Nazarov and B.A. Plamenevsky. Elliptic Problems in Domains with
Piecewise Smooth Boundaries, volume 13 of de Gruyter Expositions in
Mathematics. Berlin, New York: Walter de Gruyter and Co, 1994.
- S.A. Nazarov and B.A. Plamenevskii. Selfadjoint elliptic problems: The
scattering operator and the polarization operator on edges of the boundary.
Algebra Analiz, 6(4):157-186, 1994. (English transl.: St. Petersburg
Math. J., 6, 4 (1995), 839-863).
- S.A. Nazarov and O.R. Polyakova. Weight functions and invariant integrals
of higher orders. Mekhanika tverd. tela, (1):104-109, 1995. (Russian).
- S.A. Nazarov. Asymptotic solutions of a variational inequality with small
obstacles. C. R. Acad. Sci. Paris. S'er. 1, 318(11):1059-1064, 1994.
- T.A. Mel'nyk and S.A. Nazarov. Asymptotic structure of the spectrum
of the Neumann problem in a thin comb-like domain. C. R. Acad. Sci.
Paris. S'er. 1, 319(12):1343-1348, 1994.
- S.A. Nazarov. Asimptotic solution to a problem with small obstacles. Differentsial'nye
Uravneniya, 31(6):1031-1041, 1995. (English transl.: Differential
equations, 31, 6 (1995), 965-974).
- S.A. Nazarov. Junction problem of bee-on-ceiling type in the theory of
anisotropic elasticity. C. R. Acad. Sci. Paris. S'er. 1, 320(11):1419-1424,
1995.
- P.K. Chernyaev and S.A. Nazarov. The asymptotic behavior of a solution
to the boundary-value problem in a degenerate domain with rapidly oscillating
boundary. Probl. Mat. Anal., 14:63-90, 1995. (English transl.: J.
Math. Sci., 77, 4 (1995), 3303-3322).
- T.A. Mel'nik and S.A. Nazarov. Asymptotics of Neumann problem eigenvalues
in a "dense comb" type domain. Dokl. Ross. Akad. Nauk, 342(1):23-
25, 1995. (English transl.: Russ. Acad. Sci. Dokl. Math., 51, 3 (1995),
326-328).
- S.A. Nazarov. A general scheme for averaging selfadjoint elliptic systems
in multidimensional domains, including thin domains. Algebra Analiz,
7(5):1-92, 1995. (English transl.: St.Petersburg Math. J., 7, 5 (1996),
681-748).
- N.V. Movchan and S.A. Nazarov. A quasistatic growth of the fracture
channel. Prikl. mekhanika, 9:117-135, 1995. (Russian).
- S.A. Nazarov. On the flow of water under a still stone. Mat. sbornik,
186(11):75-110, 1995. (English transl.: Math. Sbornik, 186, 11 (1995),
1621-1658).
- A. Campbell and S.A. Nazarov. Comportement d'une plaque 'elastique
dont une pertite r'egionest rigid et anime d'un mouvement vibratoire.
'Etude asymptotique de la matrice d'impedance. Ann. Fac. Sci. Toulouse
Math. S'er. 6, 4(2):211-242, 1995. (French).
- S.A. Nazarov. On the accuracy of asymptotic approximations for logitudinal
deformation of a thin plate. RAIRO Model. Math. Anal. Numr.,
30(2):185-213, 1995.
- S.A. Nazarov. Signorini's problem with friction for thin elastic bodies.
Trudy Moskov. mat. obshch., 56:262-302, 1995. (English transl.: Trans.
Moscow Math. Soc., 56 (1995), 203-233).
- S.A. Nazarov. Inequalities of the type of Korn's inequalities for elastic
multistructures. Uspehi mat. nauk, 50(6):197-198, 1995. (English transl.:
Russ.Math. Survey, 50, 6 (1995), 1288-1289).
- I.I. Argatov and S.A. Nazarov. Asimptotic analysis of problems on junctions
of domains of different limit dimensions. A body pierced by a thin
rod. Izv. Ross. Akad. Nauk. Ser. Mat., 60(1):1-36, 1996. (English transl.:
Math. Izvestiya, 60, 1 (1996), 1-37).
- S.A. Nazarov and A.S. Slutskii. Asymptotic behavior of solutions to problems
of elasticity theory at infinity in flat parabolic domains. Probl. Mat.
Anal., 15:162-200, 1995. (English transl.: J. Math. Sci., 80, 6 (1996),
2292-2318).
- S.A. Nazarov, A. Novotny, and K. Pileckas. On steady compressible Navie-
Stokes equations in plane domains with corners. Math. Ann., 304(1):121-
150, 1996.
- S.A. Nazarov. With the help of invariant integrals one can calculate all
factors at junior singularities of the stress field. Vestnik St.-Petersburg
Univ., (22):95-99, 1996. (Russian).
- S.A. Nazarov and K.I. Pileckas. The Fredholm property of the Neumann
problem operator in the domains that are layer-like at infinity. Algebra
Analiz, 8(6):76-118, 1996. (English transl.: St. Petersburg Math. 8, 6
(1997), 951-983).
- S.A. Nazarov. Asymptotics at infinity of the solution to the Dirichlet
problem for a system of equations with periodic coeffcients in an angular
domain. Russian J. Math. Phys., 3(3):297-326, 1995.
- S.A. Nazarov. Asymptotics of the solution to the Neumann problem in a
domain with singular point of peak exterior type. Russian J. Math. Phys.,
4(2):217-250, 1996.
- S.A. Nazarov. On the two-dimensional aperture problem for Navier-Stokes
equations. C. R. Acad. Sci. Paris. S'er. 1, 323(6):699-703, 1995.
- S.A. Nazarov and M. Specovius-Neugebauer. Approximation of exterior
problems. Optimal conditions for the Laplacian. Analysis, 16(4):305-324,
1996.
- I.I. Argatov and S.A. Nazarov. The pressure of a narrow ring-shaped
punch on an elastic half-space. Prikl. Mat. Mekh., 60(5):810-825, 1996.
(English transl.: J. Appl. Math. Mech., 60, 5 (1996), 799-812).
- I.I. Argatov and S.A. Nazarov. Asymptotic solution of the Signorini problem
with an obstacle on a thin elongated set. Mat. sbornik, 187(10):3-32,
1996. (English transl.: Sb. Math., 187, 10 (1996), 1411-1442).
- S.A. Nazarov and O.R. Polyakova. Rupture criteria, asymptotic conditions
at crack tips, and selfadjoint extensions of the Lam'e operator. Trudy
Moskov. Mat. Obshch., 57:16-75, 1996. (English transl.: Trans. Moscow
Math. Soc., 57 (1996), 13-66).
- S.A. Nazarov and M. Specovius-Neugebauer. Approximation of unbounded
domains by bounded domains. Boundary-value problems for
the Lam'e operator. Algebra Analiz, 8(5):229-268, 1996. English transl.:
St.Petersburg Math. J., 8, 5 (1997), 879-912.
- S.A. Nazarov. Korn's inequalities for junctions of spatial bodies and thin
rods. Math. Methods Appl. Sci., 20(3):219-243, 1997.
- N.V. Movchan and S.A. Nazarov. Stress-strain state near vertices of obtuse
and acute cones. Prikl. mekhanika, 10:74-88, 1995. (Russian).
- S.A. Nazarov. Asymptoric analysis of the problem of elasticity theory
in a layer from the point of view of the problem of O.A. Oleinik. Dokl.
Ross. Akad. Nauk, 352(2):172-175, 1997. (English transl.: Russ. Acad.
Sci. Dokl. Math., 55, 1 (1997), 46-49).
- S.A. Nazarov. Asymptotics of solutions to the elasticity-theoretic problem
for a three-dimensional body with thin branches. Dokl. Ross. Akad. Nauk,
352(4):458-461, 1997. (English transl.: Russ. Acad. Sci. Dokl. Math., 55,
1 (1997), 87-90).
- S.A. Nazarov and M. Specovius-Neugebauer. Selfadjoint extensions of the
Neumann Laplacian in domains with cylindrical outlets. Comm. in Math.
Physics, 185(3):689-707, 1997.
- S.A. Nazarov. Self-adjoint elliptic boundary-value problems. The polynomial
property and formally positive operators. Probl. Mat.Anal., (16):167-
192, 1997. (English transl.: J. Math. Sci., 92, 6 (1998), 4338-4353).
- A. Campbell and S.A. Nazarov. Une justification de la m'ethode de raccordement
des d'eveloppements asymptotiques appliqu'ee a un probl'eme de
plaque en flexion. Estimation de la matrice d'impedance. J. Math. Pures
Appl., 76(9):15-54, 1997. (French).
- S.A. Nazarov and M. Specovius-Neugebauer. Approximation of exterior
boundary value problems for the Stokes system. Asymptotic Analysis,
14(3):223-255, 1997.
- S.A. Nazarov. Junctions of singularly degenerating domains with different
limit dimensions. 1. Trudy seminar. Petrovskii, 18:3-78, 1995. (English
transl.: J. Math. Sci., 80, 5 (1996), 1989-2034).
- L.H. Kolton and S.A. Nazarov. Variation of the shape of the front of plane
mode-1 crack which is not in equilibrium locally. Mekhanika tverd. tela,
(3):125-133, 1997. (Russian).
- T.A. Mel'nik and S.A. Nazarov. The asymptotics of the solution to the
Neumann spectral problem in a domain of the "dense-comb" type. Trudy
seminar. Petrovskii, 19:138-173, 1997. (English transl.: J. Math. Sci., 85,
6 (1997), 2326-2346).
- S.A. Nazarov. The operator of a boundary value problem with Chaplygin-
Zhukovskij-Kutta type conditions on an edge of the boundary has the
fredgolm property. Funkt. Anal. i Prilozhen., 31(3):44-56, 1997. (English
transl.: Funct. Anal. Appl., 31, 3 (1997), 183-192).
- S.A. Nazarov. Justification of the asymptotic theory of thin rods. Integral
and pointwise estimates. Probl. Mat. Anal., 17:101-152, 1997. (English
transl.: J. Math. Sci., 97, 4 (1999), 4245-4279).
- S.A. Nazarov. Invariant integrals in the Leonov-Panasyuk-Dugdale model
of a crack. Prikl. mekh. tekhn. fiz., 38(5):147-155, 1997. (English transl.:
J. Appl. Mech. Tech. Phys., 38, 5 (1997), 784-791).
- S.A. Nazarov. Nonselfadjoint elliptic problems with the polynomial property
in domains having cylindric outlets to infinity. Zap. Nauchn. Sem.
St.-Petersburg Otdel. Mat. Inst. Steklov, 249:212-231, 1997. (Russian).
- S.A. Nazarov and M.V. Olyushin. Approximation of smooth contours
by polygonal ones. Paradoces in problems for the Lam'e system. Izv.
Ross. Akad. Nauk. Ser. Mat., 61(3):159-186, 1997. (English transl.: Math.
Izvestiya, 61, 3 (1997), 619-646).
- S.A. Nazarov. Weighted Korn inequalities in paraboloidal domains. Mat.
Zametki, 62(5):751-765, 1997. ; correction: Mat. Zametki, 63, 4 (1998),
640. (English transl. Math. Notes, 62, 5/6 (1997), 629-641; erratum:
Math. Notes, 53, 3/4 (1998), 565).
- F. Blanc and S.A. Nazarov. Asymptotics of solutions to the Poisson
problem in a perforated domain with corners. J. Math. Pures. Appl.,
76(10):893-911, 1997.
- M. Bach, S.A. Nazarov, and W.L. Wendland. Propagation of a penny
shaped crack under the Irwin criterion. In M. Bach, C. Constanda, G.C.
Hsiao, A-M. Sändig, and P. Werner, editors, Analysis, numerics and applications
of differential and integral equations, volume 379 of Pitman
Research Notes in Math. Series, pages 17-21. Harlow, Essex: Longman,
1998.
- S.A. Nazarov. Singularities at angular points of a trailing edge under the
Joukowskii-Kutta conditions. In M. Bach, C. Constanda, G.C. Hsiao, AM.
Sändig, and P. Werner, editors, Analysis, numerics and applications of
differential and integral equations, volume 379 of Pitman Research Notes
in Math. Series, pages 153-157. Harlow, Essex: Longman, 1998.
- S.A. Nazarov. Asymptotic behavior of a solution to the Poisson-
Boltzmann equation in a tree-dimensional domain with a thin bridge.
Sibirsk. Mat. Zh., 39(1):94-111, 1998. (English transl.: Siberian Math. J.,
39, 1 (1998), 81-98).
- I.A. Aldoshina and S.A. Nazarov. Asymptotically exact joining conditions
at the junction of plates with very different characteristics. Prikl. Mat.
Mekh., 62(2):272-282, 1998. (English. transl.: J. Appl. Math. Mech., 62,
2 (1998), 253-261).
- S.A. Nazarov. The interface crack in anisotropic bodies. stress singularities
and invariant integrals. Prikl. Mat. Mekh., 62(3):489-502, 1998. (English
transl.: J. Appl. Math. Mech., 62, 3 (1998), 453-464).
- A. Campbell and S.A. Nazarov. An asymptotic study of a plate problem
by a rearrangement method. Application to the mechanical impedance.
RAIRO Model. Math. Anal. Numer., 32(5):579-610, 1998.
- S.A. Nazarov and M.A. Narbut. Invariant integrals in elastic bodies with
Somigliana's dislocations. Vestnik St.-Petersburg Univ., (8):98-101, 1998.
(Russian).
- S.A. Nazarov and M. Specovius-Neugebauer. The errors due to approximating
unbounded elastic bodies by bounded ones. Prikl. Mat. Mekh.,
62(4):650-663, 1998. (English transl.: J. Appl. Math. Mech., 62, 4 (1998),
605-616).
- S.A. Nazarov and A.S. Slutskii. Asymptotic behaviour of solutions of
boundary-value problems for equations with rapidly oscillating coeffcients
in a domain with a small cavity. Mat. sbornik, 189(9):107-142, 1998.
(English transl.: Sb. Math., 189, 9 (1998), 1385-1422).
- S.A. Nazarov. Asymptotic conditions at a point, selfadjoint extensions
of operators and the method of matched asymptotic expansions. Trudy
St.-Petersburg Mat. Obshch., 5:112-183, 1996. (English transl.: Trans.
Am. Math. Soc. Ser. 2, 193 (1999), 77-126).
- I.V. Kamotskii and S.A. Nazarov. Spectral problems in singularly perturbed
domains and selfadjoint extensions of differential operators. Trudy
St.-Petersburg Mat. Obshch., 6:151-212, 1998. (English transl.: Trans.
Am. Math. Soc. Ser. 2, 199 (2000), 127-181).
- S.A. Nazarov and K. Pileckas. Asymptotics of solutions to Stokes and
Navier-Stokes equations in domains with paraboloidal outlets to infinity.
Rend. Semin. Mat. Univ. Padova, 99:1-43, 1998.
- S.A. Nazarov. About singularities at angular points of a trailing edge
under the Joukowskii-Kutta condition. Math. Meth. Appl. Sci., 21:939-
967, 1998.
- S.A. Nazarov. Asymptotic expansions at infinity of solutions to the elasticity
theory problem in a layer. Trudy Moskov. Mat. Obschch., 60:3-97,
1998. (English transl.: Trans. Moscow Math. Soc., 60 (1999), 1-85).
- S.A. Nazarov. Weighted spaces with detached asymptotics and Navier-
Stokes problems in unbounded domains. Uspehi Mat. Nauk., 53(4):192,
1998. (Russian).
- R. Hinder and S.A. Nazarov. Asymptotics of the circulation around a
three-dimensional thin wing. Asymptotic Analysis, 18:279-305, 1998.
- I.V. Kamotskii and S.A. Nazarov. Wood's anomalies and surface waves
in the problem of scattering by a periodic boundary. 1. Mat. sbornik,
190(1):109-138, 1999. (English transl.: Sb. Math., 190, 1 (1999), 111-
141).
- S.A. Nazarov and A.S. Slutskii. Saint-Venant principle for paraboloidal
elastic bodies. Probl. Mat. Anal., 18:133-180, 1999. (English transl.: J.
Math. Sci., 98, 6 (2000), 717-752).
- S.A. Nazarov and K.I. Pileckas. On the solvability of the Stokes and
Navier-Stokes problem in the domain that are layer-like at infinity. J.
Math. Fluid Mech., 1(1):78-116, 1999.
- S.A. Nazarov and K.I. Pileckas. The asymptotic properties of the solution
to the Stokes problem in domains that are layer-like at infinity. J. Math.
Fluid Mech., 1(2):131-167, 1999.
- S.A. Nazarov. The Navier-Stokes problem in a two-dimensional domain
with angular outlets to infinity. Zap. Nauchn. Sem. St.-Petersburg Otdel.
Mat. Inst. Steklov, 257:207-227, 1999. (Russian).
- S.A. Nazarov. Boundary layers and the hinge-support conditions for
thin plates. Zap. Nauchn. Sem. St.-Petersburg Otdel. Mat. Inst. Steklov,
257:228-287, 1999. (Russian).
- I.V. Kamotskii and S.A. Nazarov. Wood's anomalies and surface waves
in the problem of scattering by a periodic boundary. 2. Mat. sbornik,
190(2):43-70, 1999. (English transl.: Sb. Math., 190, 2 (1999), 205-231).
- S.A. Nazarov, M. Specovius-Neugebauer, and G. Thäter. Full steady
Stokes system in domains with cylindrical outlets. Mathematische Annalen,
314:729-762, 1999.
- S.A. Nazarov, M. Specovius-Neugebauer, and G. Thäter. Quiet flows for
Stokes and Navier-Stokes problems in domains with cylindrical outlets to
infinity. Kyushu J. Math., 53(2):369-394, 1999.
- I.I. Argatov and S.A. Nazarov. Equilibrium of an elastic body pierced by
horizontal thin elastic rods. Prikl. mekh. tekhn. fiz., 40(4):236-242, 1999.
(English transl.: Journal of Appl. Math. Techn. Physics, 40, 4 (1999),
763-768 ).
- S.A. Nazarov and K.I. Pileckas. Asymptotics of solutions to the Navier-
Stokes system in the exterior of a bounded body. Dokl. Ross. Akad. Nauk,
367(4):461-463, 1999. (English transl.: Russ. Acad. Sci. Dokl. Math., 60,
1 (1999), 133-135).
- I.V. Kamotskii and S.A. Nazarov. Elastic waves localized near periodic
sets of flaws. Dokl. Ross. Akad. Nauk, 368(6):771-773, 1999. (English
transl.: Doklady Physics, 44, 10 (1999), 715-717).
- M. Bach and S.A. Nazarov. Smoothness properties of solutions to variational
inequalities describing propagation of mode-1 cracks. In M. Bonnet,
A-M. Sändig, and W.L. Wendland, editors, Mathematical Aspects of
Boundary Element Methods (Palaiseau, 1998), volume 414 of Research
Notes in Mathemathics, pages 23-32. Chapman & Hall/CRC, 2000.
- I.V. Kamotskii and S.A. Nazarov. On eigenfunctions localized in a neighborhood
of the lateral surface of a thin domain. Probl. mat. Anal., 19:105-
148, 1999. (English transl.: J. Math. Sci., 101, 2 (2000), 2941-2974).
- S.A. Nazarov. Minimal requirements on the smoothness of data preserving
accuracy of a one-dimensional model of rods. Probl. mat. Anal., 19:164-
181, 1999. (English transl.: J. Math. Sci., 101, 2 (2000), 2987-3000).
- S.A. Nazarov and A.S. Slutskii. The asymptotic form of the stressed
state near a three-dimensional boundary singularity of the "claw" type.
Prikl. Mat. Mech., 63(6):1008-1017, 1999. (English transl: J. Appl. Math.
Mech., 63, 6 (1999), 943-951).
- S.A. Nazarov. The polynomial property of self-adjoint elliptic boundaryvalue
problems and the algebraic description of their attributes. Uspehi
mat. nauk, 54(5):77-142, 1999. (English transl.: Russ. Math. Surveys, 54,
5 (1999), 947-1014).
- O.V. Izotova and S.A. Nazarov. Energy release due to decreasing of the
clamped zone of a bended plate. Vestnik St.-Petersburg Univ., (15):64-67,
1999. (Russian).
- S.A. Nazarov and K. Pileckas. Asymptotic conditions at infinity for the
Stokes and Navier-Stokes problems in domains with cylindrical outlets to
infinity. Quaderni di matematica, 4:141-243, 1999.
- A. Campbell and S.A. Nazarov. Asymptotic behavior of the eigenvalues
of a plate problem. In Trends in applications of mathematics to mechanics
(Nice, 1998), volume 106 of Monogr. Surv. Pure Appl. Math., pages 3-13.
Chapman & Hall/CRC, 2000.
- O.V. Motygin and S.A. Nazarov. A computer-aided procedure for constructing
boundary layers in plate theory. Zh. Vychisl. Mat. i Mat. Fiz.,
40(2):274-285, 2000. (English transl.: Comput. Math. and Math. Physics,
40, 2 (2000), 261-272).
- O.V. Motygin and S.A. Nazarov. Justification of the Kirchhoff hypotheses
and error estimation for two-dimensional models of anisotropic and
inhomogeneous plates, including laminated plates. IMA J. Appl. Math.,
65:1-28, 2000.
- T.A. Mel'nik and S.A. Nazarov. Asymptotic analysis of the Neumann
problem on the junction of a body and thin heavy rods. Algebra analiz,
12(2):188-238, 2000. (English transl.: St.Petersburg Math. J., 12, 2 (2001),
317-351).
- S.A. Nazarov. The Navier-Stokes problem in thin or long tubes with
periodically varying cross-section. ZAMM, 80(9):591-612, 2000.
- S.A. Nazarov and A.S. Slutskii. One-dimensional equations of deformation
of thin slightly curved rods. Asymptotical analysis and justification. Izv.
Ross. Akad. Nauk. Ser. Mat., 64(3):97-131, 2000. (English transl.: Math.
Izvestiya, 64, 3 (2000), 531-562).
- I.I. Argatov and S.A. Nazarov. The contact problem for a narrow punch.
Increasing contact area. Studies in elasticity and plasticity, 18:15-26, 1999.
(Russian).
- A.B. Movchan, S.A. Nazarov, and O.R. Polyakova. Distortion of the path
for quasistatic growth of a crack in the plane with a small defect. Studies
in elasticity and plasticity, 18:142-161, 1999. (Russian).
- S.A. Nazarov. Asymptotic analysis of an arbitrary anisotropic plate of
variable thickness (sloping shell). Mat. sbornik, 191(7):129-159, 2000.
(English transl.: Sb. Math., 191, 7 (2000), 1075-1106).
- S.A. Nazarov. On the asymptotics of the spectrum of a thin plate problem
of elasticity. Sibirsk. Mat. Zh., 41(4):895-912, 2000. English transl.:
Siberian Math. J., 41, 4 (2000), 744-759).
- I.V. Kamotskii and S.A. Nazarov. Augmented scattering matrix and exponentially
decaying solutions of an elliptic boundary value problem in a
cylindrical domain. Zap. Nauchn. Sem. St.-Petersburg Otdel. Mat. Inst.
Steklov, 264:66-82, 2000. (Russian).
- I.I. Argatov and S.A. Nazarov. Asymptotic analysis of problems in junctions
of domains of different limit dimensions. An elastic body, pierced by
thin rods. Probl. Mat. Anal., 20:3-55, 2000. (English transl.: Journal of
Math. Sci., 102, 5 (2000), 4349-4387).
- S.A. Nazarov. The interaction of cracks in brittle fracture. Force and
energy approaches. Prikl. Mat. Mech., 64(3):484-496, 2000. (English
transl.: J. Appl. Math. Mech., 64, 3 (2000), 465-475).
- V.G. Maz'ya, S.A. Nazarov, and B.A. Plamenevskii. Asymptotic Theory of
Elliptic Boundary Value Problems in Singularly Perturbed Domains. Vol.
I, volume 111 of Operator Theory: Advances and Applications. Birkhäuser
Verlag, 2000. Translated from German.
- V.G. Maz'ya, S.A. Nazarov, and B.A. Plamenevskii. Asymptotic Theory
of Elliptic Boundary Value Problems in Singularly Perturbed Domains.
Vol. II, volume 112 of Operator Theory: Advances and Applications.
Birkhäuser Verlag, 2000. Translated from German.
- S.A. Nazarov. The damage tensor and measures. 1. Asymptotic analysis of
anisotropic media with defects. Mekhanika tverd. tela, (3):113-124, 2000.
(Russian).
- I.V. Kamotskii and S.A. Nazarov. Trapped modes, surface waves and
Wood's anomalies for gently sloped periodic boundaries. C.R. Acad. Sci.
Ser.2, 238:423-428, 2000.
- S.A. Nazarov. Weighted spaces with detached asymptotics in application
to the Navier-Stokes equations. In J. M'alek, J. Ne¡cas, and M. Rokyta, editors,
Advances in Mathematical Fluid Mechanics, pages 159-191. Springer-
Verlag, 2000.
- I.I. Argatov and S.A. Nazarov. Contact problem for a narrow annular
punch. Unknown region of contact. Prikl. mekh. tekhn. fiz., 41(6):184-192,
2000. (English transl.: J. of Appl. Math. Techn. Physics, 41, 6 (2000),
1123-1130).
- R. Hinder, E. Meister, and S.A. Nazarov. Asymptotic of solutions
to Joukovskii-Kutta-type problems at infinity. Applicable Analysis,
76(1/2):153-166, 2000.
- S.A. Nazarov. Junctions of singularly degenerating domains with different
limit dimensions. 2. Trudy seminar. Petrovskii, 20:155-195, 1997. (Russian).
- S.A. Nazarov. The Irwin's and Griffth's criteria for a set of cracks. Dokl.
Ross. Akad. Nauk, 373(1):42-44, 2000. (English transl.: Doklady Physics,
45, 7 (2000), 333-335).
- S.A. Nazarov and K Pileckas. On steady Stokes and Navier-Stokes problems
with zero velocity at infinity in a three-dimensional exterior domain.
J. Math. Kyoto Univ, 40(3):475-492, 2000.
- I.I. Argatov and S.A. Nazarov. Asymptotic model of the unilateral contact
along a line. Vestnik St.-Petersburg Univ., (1):83-88, 2000. (Russian).
- M. Bach, S.A. Nazarov, and W.L. Wendland. Stable propagation of a
mode-1 crack in an isotropic elastic space. Comparison of the Irwin and the
Griffth approaches. In Problemi attuali dell'analisi e della fisica matematica,
pages 167-189. Roma: Aracne, 2000.
- S.A. Nazarov and M. Specovius-Neugebauer. Artificial boundary conditions
for the exterior spatial Navier-Stokes problem. C.R. Acad. Sci.
Ser.2, 328(12):863-867, 2000.
- S.A. Nazarov and M. Specovius-Neugebauer. Artificial boundary conditions
for elliptic systems in domains with conical outlets to infinity. Dokl.
Ross. Akad. Nauk, 377(3):317-320, 2001. English transl.: Doklady Maths,
63, 2 (2001), 277-280).
- S.A. Nazarov and A.S. Slutskii. Asymptotics of eigenfrequencies of a ¦-
shaped elastic frame. Dokl. Ross. Akad. Nauk, 380(1):23-26, 2001. (English
transl.: Doklady Maths, 64, 2 (2001), 266-269).
- A.A. Kulikov, S.A. Nazarov, and M.A. Narbut. Linear transformations
for the plane problem of anisotropic theory of elasticity. Vestnik St.-
Petersburg Univ., (2):91-95, 2000. (Russian).
- C. Eck, S.A. Nazarov, and W.L. Wendland. Asymptotic analysis for
a mixed boundary-value contact problem. Arch. Rational Mech. Anal.,
156:275-316, 2001.
- S.A. Nazarov and K. Pileckas. On the Fredholm property of the Stokes
operator in a layer-like domain. ZAA, 20(1):155-182, 2001.
- I.I. Argatov and S.A. Nazarov. Comparison of the Griffth and Irwin criteria
for an asymmetric growing crack in the plane. Fiz.-khim. mekhanika
materialov, (4):77-82, 2000. (Russian).
- S.A. Nazarov. The damage tensor and measures. 2. Invariant integrals in
solids with sparsely placed defects. Mekhanika tverd. tela, (2):121-131,
2001. (Russian).
- S.A. Nazarov. The damage tensor and measures. 3. Characteristics of damage
associated with an invariant integral. Mekhanika tverd. tela, (3):76-87,
2001. (Russian).
- E.A. Akimova, S.A. Nazarov, and G.A. Chechkin. Weighted Korn inequality:
The "TETRIS" procedure serving arbitrary periodic plate. Dokl.
Ross. Akad. Nauk, 380(4):439-442, 2001. (English transl.: Doklady Maths,
64, 4 (2001), 205-207).
- S.A. Nazarov. Asimptotics near to a conical point of a solution to quasi-
linear Neumann problem. Probl. Mat. Anal., 23:76-93, 2001. (Russian).
- S.A. Nazarov and A.S. Slutskii. Power boundary layers in the homogenization
problem for a scalar equation degenerating at the boundary. Probl.
Mat. Anal., 23:94-146, 2001. (Russian).
- O.V. Izotova and S.A. Nazarov. Thin elastic plate with a crack along a
clamped zone on its lateral side. Probl. Mat. Anal., 21:138-192, 2000.
(Russian).
- S.A. Nazarov, A. Sequeira, and J.H. Videman. Steady flows of Jeffrey-
Hamel type from the half-plane into an infinite channel. 1. Linearization
on an antisymmetric solution. J. Math. Pures Appl., 80(12):1069-1098,
2001.
- S.A. Nazarov and J. Sokolowski. Behavior of stresses near the tip of
a crack in an inhomogeneous anisotropic aging body. Dokl. Ross. Akad.
Nauk, 378(1):47-50, 2001. (English transl.: Doklady Physics, 46, 5 (2001),
336-339).
- S.A. Nazarov, A. Sequeira, and J.H. Videman. Asymptotic behaviour at
infinity of three-dimensional steady viscoelastic flows. Pacific J. Math.,
203(2):461-488, 2002.
- A. Campbell and S.A. Nazarov. Asymptotics of eigenvalues of a plate
with small clamped zone. Positivity, 5(3):275-295, 2001.
- I.I. Argatov and S.A. Nazarov. The method of matched asymptotic expansions
for problems with small contact zones. In Mechanics of contact
interactions, pages 73-82. Moscow: Fizmatlit, 2001. (Russian).
- S.A. Nazarov and A.S. Slutskii. Arbitrary plane systems of anisotropic
beams. Trudy Mat. Inst. Steklov, 236:234-261, 2002. (Proc. Steklov Institute
of Mathematics. 2002. V. 236. P. 222-249).
- I.I. Argatov and S.A. Nazarov. Energy release due to kinking of a crack in a
plane anisotropic body. Prikl. Mat. Mech., 66(3):502-514, 2002. (Russian).
- S.A. Nazarov. Localization effects for eigenfunctions near to the edge of
a thin domain. Mathematica Bohemica, 127(2):283-292, 2002.
- S.A. Nazarov. Korn's inequality for an elastic junction of a body with a
rod. In Problems of mechanics of solids, pages 234-240. St.-Petersburg:
St.-Petersburg Univ., 2002. (Russian).
- S.A. Nazarov. Asymptotic Theory of Thin Plates and Rods. Vol.1. Dimension
Reduction and Integral Estimates. Novosibirck : Nauchnaya Kniga,
2002.
- S.A. Nazarov, A. Sequeira, and J.H. Videman. Steady flows of Jeffrey-
Hamel type from the half-plane into an infinite channel. 2. Linearization
on a symmetric solution. J. Math. Pures Appl., 81(8):781-810, 2002.
- S.A. Nazarov. Estimating the convergence rate for eigenfrequencies of anisotropic plates
with variable thickness. C.R. Acad. Mecanique, 330:603-607, 2002.
- S.A. Nazarov and Slutskii A.S. Korn's inequality for an arbitrary system of thin distorted
rods. Sibirsk. Mat. Zh., 43(6):1319-1331, 2002. (English transl.: Siberian Math. J., 43, 6
(2002) ).
- M.H. Lobo, S.A. Nazarov, and M.E. Perez. Eigenoscillations of contrastly inhomogeneous
elastic body. Asymptotics and uniform estimates of remainders. Dokl. Ross. Akad. Nauk,
389(2):173{176, 2003. (English transl.: Doklady Maths, 67, 1/2 (2003), 271{274).
- S.A. Nazarov. Uniform estimates of remainders in asymptotic expansions of solutions to
the problem on eigenoscillations of a piezoelectric plate. Probl. Mat. Anal., 25:99{188,
2002. (English transl.: J. Math. Sci., 114, 5 (2003), 1657-1725).
- S.A. Nazarov and G. ThÄater. Asymptotics at in¯nity of solutions to the Neumann problem
in a sieve-type layer. C.R. Acad. Mecanique, 331:85-90, 2003.
- S.A. Nazarov and M. Specovius-Neugebauer. Nonlinear arti¯cial boundary conditions with
pointwise error estimates for the exterior three dimensional Navier{Stokes problem. Math.
Nachr., 252(5):86-105, 2003.
- S.A. Nazarov and J. Sokolowski. Asymptotic analysis of shape functionals. J. Math. Pures
Appl., 82(2):125-196, 2003.
- M.H. Lobo, S.A. Nazarov, and M.E. Perez. Asymptotically sharp uniform estimates in a
scalar spectral sti®ness problem. C.R. Acad. Mecanique, 331:325-330, 2003.
- I.V. Kamotskii and S.A. Nazarov. Exponentially decreasing solutions of di®raction prob-
lems on a rigid periodic boundary. Mat. Zametki, 73(1):138-140, 2003. (English transl.:
Math. Notes, 73, 1 (2003), 129-131.
- S.A. Nazarov and M. Specovius-Neugebauer. Arti¯cial boundary conditions providing
superpower accuracy for the Neumann problem in a layer-like domain. Zh. Vychisl. Mat.
i Mat., 43(10):1475-1486, 2003. (English transl.: Comput. Math. and Math. Physics, 43,
10 (2003), 1475-1486).
- S.A. Nazarov and J. Sokolowski. Self adjoint extensions of di®erential operators in appli-
cation to shape optimization. C.R. Acad. Mecanique, 331(10):667-672, 2003.
- S.A. Nazarov and J. Sokolowski. Techniques of asymptotic analysis in shape optimization.
Transactions of French-Russian A.M. Liapunov Institute, 4:49-57, 2003.
- A.A. Kulikov and S.A. Nazarov. The correspondence principle for plane problems on a
straightforward growing of cracks. Mekhanika tverd. tela, (1):77-87, 2004. (English transl.:
Mechanics of Solids, 39, 1 (2004),).
- S.A. Nazarov, M. Specovius-Neugebauer, and J.H. Videman. Nonlinear arti¯cial bound-
ary conditions for the Navier-Stokes equations in an aperture domain. Math. Nachr.,
265(1):24-67, 2004.
- S.A. Nazarov and J. Sokolowski. The topological derivative of the dirichlet integral under
formation of a thin ligament. Sibirsk. Mat. Zh., 45(2):410-426, 2004. (English transl.:
Siberian Math. J., 45, 2 (2004) ).
- J.H. Videman, S.A. Nazarov, and A. Sequeira. Asymptotic modeling of a piston with
completely wetted surface. Zap. Nauchn. Sem. St.-Petersburg Otdel. Mat. Inst. Steklov,
306:53-70, 2004.
- S.A. Nazarov and M. Specovius-Neugebauer. The pressure stabilization method for steady
viscous flows in a system of pipes. Zap. Nauchn. Sem. St.-Petersburg Otdel. Mat. Inst.
Steklov, 306:107-133, 2004.
- S.A. Nazarov. Weighted anisotropic Korn's inequalities for a junction of a plate and rods.
Mat. sbornik, 195(4):97-126, 2004. (English transl.: Sb. Math., 195, 4 (2004), ).
- S.A. Nazarov and A.S. Slutskii. Asymptotic analysis of arbitrary spatial system of thin
rods. Trudy St.-Petersburg Mat. Obshch., 10:63{115, 2004. (Russian).
- S.A. Nazarov. Estimates for second order derivatives of eigenvectors in thin anisotropic
plates with variable thickness. Zap. Nauchn. Sem. St.-Petersburg Otdel. Mat. Inst. Steklov,
308:161-181, 2004. (Russian).
- S.A. Nazarov and J.H. Videman. Reynolds type equation for a thin °ow under intensive
transverse percolation. Math. Nachr., 269-270:189-209, 2004.
- E.A. Akimova, S.A. Nazarov, and G.A. Chechkin. Asymptotics of a solution to a problem
on deformation of an arbitrary local periodic thin plate. Trudy Moskov. Mat. Obschch.,
65:3-34, 2004. (English transl.: Trans. Moscow Math. Soc., 65 (2004), 1-29).).
- S.A. Nazarov. Crack growth direction according to the Novozhilov criterion. Dokl. Ross.
Akad. Nauk., 396(5):620-623, 2004. (Russian).
- S.A. Nazarov and A.S. Slutskii. Branching periodicity: Homogenization of the Dirichlet
problem for an elliptic system. Dokl. Ross. Akad. Nauk., 397(6):743-747, 2004. (Russian).
- S.A. Nazarov and J. Sokolowski. Modelling of topology variations in elasticity. In J. Cagnol
and J.P. Zolesio, editors, System Modelling and Optimization Proceedings of the 21st IFIP
TC7 Conference., pages 147-158. Boston, Kluwer Academic Publishers, 2004.
- S. Langer, S.A. Nazarov, and M. Specovius-Neugebauer. Arti¯cial boundary conditions
on polyhedral truncation surfaces for three-dimensional elasticity systems. C.R. Acad.
Mecanique, 332:591-596, 2004.
- S.A. Nazarov and M. Specovius-Neugebauer. Arti¯cial boundary conditions for petrovsky
systems of second order in exterior domains and in other domains of conical type. Math.
Meth. Appl. Sci., 27:1507-1544, 2004.
- S.A. Nazarov. Asymptotic analysis and modeling of the jointing of a massive body with
thin rods. Trudy seminar. Petrovskii, 24:95-214, 2004. (English transl.: Journal of Math.
Sci. 127, 5 (2003), 2172-2263.).
- S.A. Nazarov and M. Specovius-Neugebauer. Arti¯cial boundary conditions for an ex-
terior boundary value problem with a cylindrical inhomogeneity. Zh. Vychisl. Mat. i
Mat., 44(12):2206-2223, 2004. (English transl.: Comput. Math. and Math. Physics, 44, 12
(2004),).
- S.A. Nazarov and J. Sokolowski. Selfadjoint extensions for the elasticity system in shape
optimization. Bull. Polish Acad. Sci. Math., 52:237-248, 2004.
- S.A. Nazarov. Estimating the accuracy of modeling boundary value problems on junctions
of domains with di®erent limit dimensions. Izv. Ross. Akad. Nauk. Ser. Mat., 68(6):119-
156, 2004.
- S.A. Nazarov. Elliptic boundary value problems on hybrid domains. Funkt. Anal. i
Prilozhen., 38(4):55-72, 2004. (English transl.: Funct. Anal. Appl. 2004. V. 38, N 4.
P. 283-297.).
- A.A. Kulikov and S.A. Nazarov. The Gri±th formula for a crack in a piezoelectric body.
Dokl. Ross. Akad. Nauk., 399(6), 2004. (English transl.: Doklady Physics, 2004. V. , N .
P. ).
- S.A. Nazarov and M. Specovius-Neugebauer. Optimal results for the Brezzi{PitkÄaranta ap-
proximation of viscous flow problems. Di®erential and Integral Equations, 17(11/12):1359-
1394, 2005.
- S.A. Nazarov. A crack at the interface of anisotropic bodies. singularities of the elastic
¯elds and a criterion for fracture when the crack surfaces are in contact. Prikl. Mat. Mekh.,
69(3):539-551, 2005. (English transl.: J. Appl. Math. Mech. 2005. V. 69, N 3. P. 473-484.).
- A.A. Kulikov and S.A. Nazarov. Cracks in piezoelectric and elektro-conductive bodies.
Siberian J. of Industrial Mathematics, 8(1), 2005.
- S.A. Nazarov. The three-dimensional formulation of the Novozhilov criterium for mode-1
cracks. Dokl. Ross. Akad. Nauk., 402(6), 2005. (English transl.: Doklady Physics, 2004.
V. , N . P. ).
- S.A. Nazarov. Stress intensity factors and crack deviation conditions in a brittle anisotropic
solid. Prikl. Mekh. Techn. Fizika, 36(3):98-107, 2005. (English transl.: J. Appl. Mech.
Techn. Physics. 2005. V. 36, N 3. P. 386-394.).
- S.A. Nazarov and G. ThÄater. Neumann problem in a perforated layer (sieve). Asymptotic
Analysis, 44(3,4):259-298, 2005.
- O.V. Izotova and S.A. Nazarov. An asymptotic solution to the Signorini problem about
a beam laying on two rigid bases. Zap. Nauchn. Sem. St.-Petersburg Otdel. Mat. Inst.
Steklov, 324:43-60, 2005. (Russian).
- S.A. Nazarov and M. Specovius-Neugebauer. Arti¯cial boundary conditions for the Stokes
and Navie-Stokes systems in a layer-like domain. Dokl. Ross. Akad. Nauk., 405(3), 2005.
(English transl.: Doklady Mathematics, 2005. V. , N . P. ).
- M.H. Lobo, S.A. Nazarov, and M.E. Perez. Eigen-oscillations of contrasting non-
homogeneous bodies: asymptotic and uniform estimates for eigenvalues. IMA J. of Applied
Mathematics, 70:419{458, 2005.
- S.A. Nazarov and A.S. Slutskii. Homogenization of an elliptic system with ¯ning perfora-
tion of the domain. Algebra analiz, 17(6):117-166, 2005. (English transl.: St.Petersburg
Math. J., 17, 6 (2005), ).
- S.A. Nazarov. Korn's inequalities for junctions of elastic bodies with thin plates. Sibirsk.
Mat. Zh., 46(6):876-889, 2005. (English transl.: Siberian Math. J., 46, 6 (2005) ).
- S.A. Nazarov. The initiation of a selvage crack according to the Novozhilov criterion.
Vestnik St.-Petersburg Univ., (3):81-84, 2005. (Russian).
- S.A. Nazarov and J. Sokolowski. Self-adjoint extensions of di®erential operators and exte-
rior topological derivatives in shape optimization. Control and Cybernetics, 34(3):903-926,
2005.
- A.A. Kulikov and S.A. Nazarov. The energy release rate for a crack growing in a piezo-
electric medium. Vestnik St.-Petersburg Univ., (3):40-44, 2004. (Russian).
- S.A. Nazarov and A.S. Slutskii. Homogenization of an elliptic system as the cells of
periodicity are re¯ned in one direction. Mat. Zametki, 78(6):878-826, 2005. (English
transl.: Math. Notes, 78, 5-6 (2005), 814-826).
- S.A. Nazarov. Estimates of weighted L-p-norms and maximum of modulo for asymptotic
remainders under homogenization of elliptic systems with periodic coe±cients. Algebra
analiz, 18(2):117-166, 2006. (English transl.: St.Petersburg Math. J., 18, 2 (2005), ).
- S.A. Nazarov. On the three-dimensional formulation o the Novozhilov quasi-static fracture
criterion. Mekhanika tverd. tela., (2):107-116, 2006. (English transl.: Mechanics of Solids.
2006. N 2. P. ? ).
26
- S.A. Nazarov. A quasi-static model for evolution of an interface inside a deformed solid.
Prikl. Mat. Mekh., 70(3):458-472, 2006. (English transl.: J. Appl. Math. Mech. 2006. V.
70, N 3. P. ?.).
- Nazarov S.A. A criterion for the existence of decaying
solutions in the problem on a resonator with a cylindrical waveguide
// Funkt. Anal. i Prilozhen. 2006. V. 40, N 2. P. 20-32. (English
transl.: Funct. Anal. Appl. 2006. V. 40, N 2. P. 97-107.)
- S.A. Nazarov and J. Sokolowski. Self-adjoint extensions for the Neumann Laplacian and
applications. Acta Mathematica Sinica, 22(3):879-906, 2006.
- Nazarov S.A. Asymptotic behavior of eigenvalues of the Neumann
problem for systems with masses concentrated on a thin toroidal set
// Vestnik St.-Petersburg Univ. 2006. N 3. P. 61-71. (English
transl.: Vestnik St.-Petersburg Univ. Math. 2006. V. 39, N 3. P.
149--157.)
- Nazarov S. A., Taskinen J. Asymptotics of a solution to the
Neumann problem in a thin domain with the sharp edge // Zap. Nauchn.
Sem. St.-Petersburg Otdel. Mat. Inst. Steklov. 2006. V. 332. P.
193-219. (English transl.: Journal of Math. Sci., 2007. V. 142, N.
6. P. 2630-2644)
- Nazarov S.A. Artificial boundary conditions for finding surface
waves in the problem of diffraction by a periodic boundary
// Zh. Vychisl. Mat. i Mat. Fiz. 2006. V. 46, N 12. P. 2265-2276.
(English transl.: Comput. Math. and Math. Physics. 2006. V. 46, N
12. P. 2164-2175)
- Gomez D., Lobo M., Nazarov S.A., Perez E. Spectral stiff
problems in domains surrounded by thin bands: Asymptotic and uniform
estimates for eigenvalues // J. Math. Pures Appl. 2006. V. 85. P.
598-632.
- Costabel M., Dauge M., Nazarov S.A., Sokolowski J. Analysis of
crack singularities in an aging elastic material // Math. Model.
Numer. Anal. 2006. V. 40, N 3. P. 553-595.
- Gomez D., Lobo M., Nazarov S.A., Perez E. Asymptotics for the
spectrum of the Wentzell problem with a small parameter and other
related stiff problems // J. Math. Pures Appl. 2006. V. 86, N 5. P.369-402.
- Langer S., Nazarov S.A., Specovius-Neugebauer M. Affine
transformations of three-dimensional anisotropic media, and explicit
formulas for fundamental matrices
// Prikl. Mekh. Techn. Fizika. 2006. Ò. 47, N 2. P.
95-102. (English transl.: J. Appl. Mech. Techn. Physics. 2006. V.
47, N 2. P. 229-235.)
- Nazarov S.A., Slutskij A. S., Sokolowski J. Topological
derivative of the energy functional due to formation of a thin
ligament on a spatial body // Folia Mathematica. 2005. V. 12, N 1.
P. 39-72.
- Nazarov S.A. On bifurcations of a plane crack front growing
quasistatically in an elastic space
// Prikl. Mat. Mekh. 2006. V. 70, N 4. P. 702-713 (English transl.:
J. Appl. Math. Mech. 2006. V. 70, N 4. P. 636-646.)
- Nazarov S.A., Specovius-Neugebauer M. Application of the energy
criterion of fracture for determining the shape of slightly curved
crack // Prikl. Mekh. Techn. Fizika. 2006. Ò. 47, N 5. P. 119-130
(English transl.: J. Appl. Mech. Techn. Physics. 2006. V. 47, N 5.
P. 714-723.)
- Izotova O.V., Nazarov S.A., Sweers G. Weighted Korn
inequalities for thin-walled elastic structures // C. R. Mecanique.
2006. V. 334. P. 707-712.
- Nazarov S.A., Sweers G. A hinged plate equation and iterated
Dirichlet Laplace operator on domains with concave corners
// J. of Differential Equations. 2007. V. 233, N 1. P. 151-180.
- Nazarov S.A., Sweers G. A boundary value problem for the
biharmonic equation and the iterated Laplacian in a
three-dimensional domain with an edge // Zap. Nauchn. Sem.
St.-Petersburg Otdel. Mat. Inst. Steklov. 2006. V. 336. P. 153-198.
(English transl.: Journal of Math. Sci., 2007. V. 143, N. 2. P.
2936-2960.)
- Nazarov S.A. An asymptotic model of the Griffith criterion
under slight curving and kinking of a crack
// Dokl. Ross. Akad. Nauk. 2006. V. 408, N 4. P. 476-480. (English
transl.: Doklady Physics, 2006, )
- Nazarov S.A. Thin elastic coatings and the surface enthalpy //
Mekhanika tverd. tela. 2007. N. 5. P. 60-74. (Russian)
- Gomez D., Nazarov S.A., Perez M.-E. The formal asymptotics of
the eigenfrequences of oscillations of an elastic three-dimensional
body with concentrated masses // Zap. Nauchn. Sem. St.-Petersburg
Otdel. Mat. Inst. Steklov. 2007. V. 342. P. 31-76. (English
transl.: Journal of Math. Sci., 2008. V. 148, N 5. P. 650-674)
- Nazarov S.A. Asymptotic simulation of elastic bodies with
damaged or hardened surfaces // Dokl. Ross. Akad. Nauk. 2007. V.
415, N 5. P. 611-616 (English transl.: Doklady Physics, 2007, V.
52, N 8. P. 436-441)
- Nazarov S.A., Sofronov I.L. Asymptotics of solutions and
artificial boundary conditions in the transmission problem with a
layer-like inhomogeneity // Trudy St.-Petersburg Mat. Obshch. 2007.
V. 13. P. 209-286 (English transl.: Trans. Am. Math. Soc. Ser. 2. .
V. 222 . P. 171-233)
- Nazarov S.A. On eigen-oscillations of a solid with a blunted
peak // Dokl. Ross. Akad. Nauk. 2007. V. 416, N 4. P. 481-485
(English transl.: Doklady Physics, 2007, V. 52, N 10. P. 560-564.)
- Blazy S., Nazarov S.A., Specovius-Neugebauer M. Artificial
boundary conditions of pressure type for viscous flows in a system
of pipes // J. Math. Fluid Mech. 2007. V. 9, N 1. P. 1-33.
- Nazarov S.A. Eigenoscillations of an elastic body with a rough
surface // Prikl. Mekh. Techn. Fizika. 2007. V. 48, N 6. P.
103--114. (English transl.: J. Appl. Mech. Techn. Physics. 2007. V.
48, N 6. P. 861-870.)
- Nazarov S.A. A criterion for the continuous spectrum for
elasticity and other self-adjoint systems on sharp peak-shaped
domains // C.R. Mecanique. 2007. T. 335, N 12. P. 751-756.
- Nazarov S.A. Asymptotic behavior of the solution and the
modeling of the Dirichlet problem in an angular domain with rapidly
oscillating boundary // Algebra i analiz. 2007. V. 19, N 2. Ñ.
183-225. (English transl.: St. Petersburg Math. J. 2007. V. 19, N
2. P. 297-326)
- Nazarov S.A., Videman J.H. A modified nonlinear Reynolds
equation for thin viscous flows in lubrication // Asymptotic
Analysis. 2007. V. 52, N 1/2. P. 1-36.
- Nazarov S.A. Asymptotics of eigenfrequences of an elastic body
with a heavy and hard peak-shaped inclusion // C. R. Mecanique.
2007. V. 335, N 12. P. 757-762.
- Nazarov S.A. On the concentration of the point spectrum on the
continuous one in problems of the linearized theory of water-waves
// Zap. Nauchn. Sem. St.-Petersburg Otdel. Mat. Inst.
Steklov. 2007. V. 348. P. 98--126. (English transl.: Journal of
Math. Sci., 200. V. , N. . P. .)
- Cardone G., Nazarov S.A., Sokolowski J., Taskinen J.
Asymptotics of Neumann harmonics when a cavity is close to the
exterior boundary of the domain // C. R. Mecanique. 2007. V. 335, N
12. P. 763-767.
- Izotova O.V., Nazarov S.A., Sweers G. Asymptotically sharp
weight Korn's inequalities for thin-walled elastic constructions //
Probl. mat. analiz. N 36. Novosibirsk, 2007. P. 29-64. (English
transl.: Journal of Math. Sci., 2008. V. 150, N 1. P. 1807-1855.)
- Nazarov S.A. The Neumann problem in angular domains with
periodic boundaries and parabolic perturbations of the boundaries
// Trudy Moskov. Mat. Obschch. 2007. V. 69. P. 183-243.
(English transl.: Trans. Moscow Math. Soc. 2007. V. 67. P. .)
- Nazarov S.A. Korn's inequalities for elastic junctions of
massive bodies and thin plates and rods // Uspehi mat. nauk. 2008.
V. 63, N 1. P. 37-110. (English transl.: Russ. Math. Surveys. 2008.
V. 63, N 1. P. 35-107)
- Nazarov S.A. Self-adjoint extensions of the operator of the
Dirichlet problem in a three-dimensional domain with an edge. //
Siberian J. of Industrial Mathematics. 2008. V. 11, N 1. P. 80-95.
- Nazarov S.A. Trapped modes for a cylindrical elastic waveguide
with a damping gasket // Zh. Vychisl. Mat. i Mat. Fiz. 2008. V. 48,
N 5. P. 132-150. (English transl.: Comput. Math. and Math. Physics.
2008. V. 48, N 5. P. -)
- Nazarov S.A. Scenarios for the quasistatic growth of a slightly
curved and kinked crack // Prikl. Mat. Mekh. 2008. V. 72, N 3. P.
427-515 (English transl.: J. Appl. Math. Mech. 2008. V. 72, N 3. P.
347-359)
- Nazarov S.A. Asymptotics of solutions and modeling of the
elasticity problems in a domain with the rapidly oscillating
boundary // Izv. Ross. Akad. Nauk. Ser. Mat. 2008. V. 72, N 3. P.
103-158.
- Nazarov S.A., Taskinen J. On the spectrum of the Steklov
problem in a domain with a peak // Vestnik St.-Petersburg Univ.
2008. N 1 (Iss. 1). P. 56-65. (English transl.: Vestnik
St.-Petersburg Univ. Math. 2008. V. 41, N 1. P. 45-52).
- Videman Yu. G., Nazarov S.A. An improved non-linear Reynolds
equation for a thin flow of a viscous incompressible fluid
// Vestnik St.-Petersburg Univ. 2008. N 8 (Iss. 2). P. 97-102.
(English transl.: Vestnik St.-Petersburg Univ. Math. 2008. V. 41, N
2. P. 171-175).
- Specovius-Neugebauer M., Nazarov S.A. Das Dugdale Criterium in
isotropen Medien // in Berichtsband der 40. Tagung des DVM-
Arbeitskreises Bruchvorg\"ange "Zuverl\"assigkeit von Bauteilen
durch bruchmechanische Bewertung Regelwerke, Anwendungen und
Trends, Suttgart, 2008, DMV, P. 154-145.
- Nazarov S.A., Specovius-Neugebauer M. Artificial boundary
conditions for Stokes and Navier-Stokes equations in domains that
are layer-like at infinity // ZAA. 2008. V. 27, N 2. P. 125-155.
- Nazarov S.A. Surface enthalpy // Dokl. Ross. Akad. Nauk. 2008.
V. 421, N 1. P. 49-53 (English transl.: Doklady Physics, 2008, V.
53, N 7. P. 383-387)
- Nazarov S.A., Sokolowski J. Spectral problems in shape
optimization. Singular boundary perturbations
// Asymptotic Analysis. 2008. V. 56, N 3-4. P. 159-204.
- Nazarov S.A. The spectrum of the elasticity problem for a
spiked body // Sibirsk. Mat. Zh. 2008. V. 49, N. 5. P. 1105-1127.
(English transl.: Siberian Math. J. 2008. V. 49, N. 5. P. 874-893)
- Nazarov S.A. Natural oscillations of an elastic body with a
heavy rigid spike-shaped inclusion // Prikl. Mat. Mekh. 2008. V. 72,
N 5. P. 775-787. (English transl.: J. Appl. Math. Mech. 2008. V.
72, N 5. P. 561--570)
- Nazarov S.A. The Reilegh waves in an elastic half-layer with
partly jammed periodic boundary // Dokl. Ross. Akad. Nauk. 2008. V.
423, N 1. P. 56-61 (English transl.: Doklady Physics, 2008, V. 53,
N 11. P. 600-604)
- Nazarov S.A. A gap in the continuous spectrum of an elastic
waveguide // C. R. Mecanique. 2008. V. 336, N 10. P. 751-756.
- Nazarov S.A. Concentration of the trapped modes in problems of
the linearized theory of water-waves // Mat. sbornik. 2008. V. 199,
N 12. P. 53-78. (English transl.: Sb. Math. 2008. V. 199. N 11/12.
P. 1783-1807)
- Nazarov S.A., Sequeira A., Specovius-Neugebauer M., Videman
J.H. Artificial boundary conditions for viscoelastic flows
// Mathematical Methods in the Applied Sciences. 2008. V. 31, N 8. P.
937-958.
- Nazarov S.A., Sequeira A., Specovius-Neugebauer M., Videman
J.H. Artificial boundary conditions for viscoelastic flows
// Mathematical Methods in the Applied Sciences. 2008. V. 31, N 8. P.
937-958.
- Nazarov S.A. Bases of singular solutions in problems of
mechanics of cracks // Vestnik St.-Petersburg Univ. 2008. N 22 (Iss.
4). P. 21-34. (English transl.: Vestnik St.-Petersburg Univ. Math.
2008. V. 41, N 4. P. 303-314).
- Nazarov S.A., Specovius-Neugebauer M. Singularities at the tip
of a crack on the interface of piezoelectric bodies // Zap. Nauchn.
Sem. St.-Petersburg Otdel. Mat. Inst. Steklov. 2008. V. 362. P.
241-271. (English transl.: Journal of Math. Sci., 200. V. , N. . P.
.)
- Nazarov S.A. On the spectrum of the Steklov problem in
peak-shaped domains // Trudy St.-Petersburg Mat. Obshch. 2008. V.
14. P. 103-168 (English transl.: Trans. Am. Math. Soc. Ser. 2. )
- Nazarov S.A., Sokolowski J. Shape sensitivity analysis of
eigenvalues revisited // Control and Cybernetics. 2008. V. 37, N. 4.
P. 999-1012.
- Nazarov S.A. Properties of spectra of boundary value problems
in cylindrical and quasicylindrical domains // Sobolev Spaces in
Mathematics. V. II (Maz'ya V., Ed.) International Mathematical
Series , Vol. 9. New York: Springer, 2008. P. 261-309.
- Kulikov A., Nazarov S.A., Sweers G. On Airy functions and
stresses in nonisotropic heterogeneous 2d-elasticity
// ZAMM. 2008. V. 88, N 12. P. 955-981.
- Nazarov S.A., Specovius-Neugebauer M. Optimal convergence
results for the Brezzi-Pitk\"aranta approximation of the Stokes
problem: Exterior domains // Banach Center Publications. 2008. V.
81. P. 297-320.
- Nazarov S.A. Gap opening in the essential spectrum of the
elasticity theory problem in a periodic half-layer // Algebra i
analiz. 2009. V. 21, N 2. P. 166-204. (English transl.: St.
Petersburg Math. J. 2009. V. 21, N 2. P. - )
- Cardone G., Nazarov S.A., Taskinen J. The "absorption" effect
caused by beak-shaped boundary irregularity for elastic waves
// Dokl. Ross. Akad. Nauk. 2009. V.
425, N 2. P. 182-186 (English transl.: Doklady Physics, 2009, V. ,
N . P. )
- Nazarov S.A. A gap opened in the continuous spectrum of a
three-dimensional periodic elastic waveguide with traction-free
surface // Zh. Vychisl. Mat. i Mat. Fiz. 2009. V. 49, N 2. P. .
(English transl.: Comput. Math. and Math. Physics. 2009. V. 49, N 2.
P. -)
- Nazarov S.A. On the essential spectrum of boundary value
problems for systems of differential equations in a bounded
peak-shaped domain // Funkt. Anal. i Prilozhen. 2009. V. 43, N 1. P.
55-67. (English transl.: Funct. Anal. Appl. 2009. V. 43, N 1. P. .)
- Nazarov S.A., Sokolowski J., Taskinen J. Neumann Laplacian on
a domain with tangential components in the boundary // Annales
Academiae Scientiarum Fennicae Mathematica. 2009. V. 34, N 1/2. P.
131-143.
- Cardone G., Nazarov S.A., Sokolowski J. Asymptotics of
solutions of the Neumann problem in a domain with closely posed
components of the boundary // Asymptotic Analysis. 2009. V. 62, N 1.
P. 41-88.
- Nazarov S.A., Sweers G.H., Slutskii A.S. Reinforcing of a plate
with periodic families of isolated rods // Dokl. Ross. Akad. Nauk.
2009. V. 427, N 3. P. - (English transl.: Doklady Physics, 2009, V.
, N . P.)
- Nazarov S.A. Elasticity polarization tensor, surface enthalpy
and Eshelby theorem // Probl. mat. analiz. N 41. Novosibirsk, 2009.
P. 3-35. (English transl.: Journal of Math. Sci., 2009. V. 159, N.
1/2. P. 133-167.)
- Cardone G., Corbo Esposito A., Nazarov S. A. Homogenization of
the mixed boundary value problem for a formally self-adjoint system
in a periodically perforated domain // Algebra i analiz. 2009. V.
21, N 4. Ñ. -. (English transl.: St. Petersburg Math. J. 2009. V.
21, N 2. P. - )
- azarov S. A. The Eshelby theorem and a problem on an optimal
patch // Algebra i analiz. 2009. V. 21, N 5. Ñ. - . (English
transl.: St. Petersburg Math. J. 2009. V. 21, N 5. P. - )
- Bakharev F. L., Nazarov S.A. On the structure of the spectrum
of the elasticity problem for a body with a super-sharp spike //
Sibirsk. Mat. Zh. 2009. V. 50, N. 4. P. 746-756. (English transl.:
Siberian Math. J. 2009. V. 50, N. 4. P. )
- Nazarov S.A. Opening a gap in the continuous spectrum of a
periodically perturbed waveguide // Mat. Zametki. 2009. V. 80, N 4.
P. 641-656. (English transl.: Math. Notes. 2009. V. 80, N 4. P. -
)
- Nazarov S.A. A gap in the essential spectrum of the Neumann
problem for an elliptic system in a periodic domain
// Funkt. Anal. i Prilozhen. 2009. V. 43, N 3. P. 92-95.
(English transl.: Funct. Anal. Appl. 2009. V. 43, N 3. P. .)
- Nazarov S.A. A simple approach to find out trapped modes in
problems of the linear theory of surface waves // Dokl. Ross. Akad.
Nauk. 2009. V. 429, N 1. P. - (English transl.: Doklady
Mathematics, 2009, V. , N . P.)
- Nazarov S.A., Ruotsalainen K., Taskinen J. Gaps in the
essential spectrum of infinite periodic necklace-shaped elastic
waveguide // C. R. Mecanique. 2009. V. 337, N 3. P. 119-123.
- Nazarov S.A., Taskinen J. On essential and continuous spectra
of the linearized water-wave problem in a finite pond
// Math. Scand. 2009. V. 106. P. 1-20.
- Cardone G., Minutolo V., Nazarov S.A. Gaps in the essential
spectrum of periodic elastic waveguides
// ZAMM. 2009. V. 89, N 9. P. 729-741.
- Cardone G., Corbo Esposito A., Nazarov S. A. Korn's inequality
for periodic solids and convergence rate of homogenization //
Applicable Analysis. 2009. V. 88, N 6. P. 847-876.
- Nazarov S.A. A novel approach for detecting trapped surface
waves in a canal with periodic underwater topography
// C. R. Mecanique. 2009. V. 337, N 8. P. 610-615.
- Nazarov S.A. On optimization of a patch // Probl. mat. analiz.
N 42. Novosibirsk, 2009. P. 65-82. (English transl.: Journal of
Math. Sci., 2009. V. 162, N. 3. P. 373-392.)
- Nazarov S.A., E. Perez. New asymptotic effects for the
spectrum of problems on concentrated masses near the boundary // C.
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