Serguei A. Nazarov
Publications:
- Nazarov S.A. 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. 1978. V. 238,
N 4. P. 827-830. (English transl.:
Sov. Phys. Dokl. 1978. V. 23. P. 119-120).
- Nazarov S.A. The smoothing of singularities of the boundary
in two-dimensional problems of the theory of elasticity //
Studies in elasticity and plasticity. N 12. Leningrad: Leningrad
Univ. 1978. P. 178-186. (Russian)
- Nazarov S.A. Asymptotic behavior with respect to a 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. N 7. Leningrad: Leningrad Univ. 1979.
P. 146-167. (Russian)
- Nazarov S.A. The asymptotics of the deflection of a plate
containing a crack on an elastic foundation // Vestnik
Leningrad Univ. 1979. N 2. P. 111-112. (Russian)
- Nazarov S.A. The method of M.I.Vishik and L.A.Lyusternik in domans
with conical points // Dokl. Akad. Nauk SSSR. 1979. V. 245, N 6.
P. 1307-1311. (English Transl.:
Sov. Math. Dokl. 1979. V. 20. P. 426-430).
- Maz'ya V.G., Nazarov S.A., Plamenevskii B.A. Asymptotic solutions of
elliptic boundary value problems when the domain is varied close to
conical points // Dokl. Akad. Nauk SSSR. 1979. V. 249, N 1. P. 91-94.
(English transl.:
Sov. Phys. Dokl. 1979. V. 24. P. 904-905).
- Nazarov S.A. The index of an elliptic boundary value problem
with a small parameter multiplying the highest derivative //
Differentsial'nye Uravnenia i Primenen. N 24. Vilnius:
Lith. Acad. Sci. 1979. P. 75-85. (Russian)
- Nazarov S.A. Principle of virtual work and Rice weighting integrals
// Mekhanika tverd. tela. 1980. N 1. P. 72-76. (English transl.:
Mech. Solids. 1980. V. 15. P. 64-67).
- Morozov N.F., Nazarov S.A. On the stress-strain state in a
neighbourhood of a crack setting on a grain // Studies in elasticity
and plasticity. N 13. Leningrad: Leningrad Univ. 1980. P. 141-148.
(Russian)
- Nazarov S.A., Semenov B.N. The connection between stress
intensity factors for a plane problem of classical and couple-stress
elasticity theory // Studies in elasticity and plasticity. N 13.
Leningrad: Leningrad Univ. 1980. P. 148-154. (Russian)
- Nazarov S.A. The superpower boundary layer in the problem of
the bending of a stressed plate // Vestnik Leningrad Univ. 1980.
N 1. P. 72-80. (Russian)
- Nazarov S.A. Small parameter asymptotics of a solution for a
second-order differential equation in a manifold with angles //
Izv. Vyssh. Uchebn. Zaved. Mat. 1980. N 9. P. 18-24. (English
transl:
Sov. Math. 1980. V. 24, N 9. P. 18-26).
- Maz'ya V.G., Nazarov S.A., Plamenevskii B.A. Asymptotic
behavior of the solutions of a quasilinear equation in
nonregular perturbed domains // Differentsial'nye Uravnenia
i Primenen. N 27. Vilnius: Lith. Acad. Sci. 1980. P. 17-50.
(Russian)
- Nazarov S.A. Elliptic boundary-value problems degenerating
at a conic point // Vestnik Leningrad Univ. 1980. N 19.
P. 108-109. (Russian)
- Agalaryan O.B., Nazarov S.A. On the variation of the
intensity factor due to soldering of a longitudinal crack in
a prismatic rod // Dokl. Akad. Nauk. Armenian SSR. 1981. V. 72,
N 1. P. 18-21. (Russian)
- Nazarov S.A. On the Noether property and asymptotic solutions of
elliptic boundary-value problems with periodic coefficients in a
cylinder // Uspehi Mat. Nauk. 1981. V. 36, N 1. P. 217-218.
(English transl.: Russ. Math. Surv. 1981. V.36, N 1. P. 246-247).
- Nazarov S.A. Elliptic boundary value problems with periodic
coefficients in a cylinder // Izv. Akad. Nauk SSSR. Ser. Mat. 1981.
V. 45, N 1. P. 101-112. (English transl.:
Math. USSR. Izvestija. 1982. V. 18, N 1. P. 89-98).
- Maz'ya V.G., Nazarov S.A., Plamenevskii B.A. On the asymptotics
of solutions of the Dirichlet problem in three-dimensional domain with
a slender cavity // Dokl. Akad. Nauk SSSR. 1981. V. 256, N 1.
P. 37-39. (English transl:
Sov. Math. Dokl. 1981. V. 23. P. 32-35).
- Maz'ya V.G., Nazarov S.A., Plamenevskii B.A. On the asymptotic
behavior of solutions of elliptic boundary value problems with
irregular perturbations of the domain // Probl. Mat. Anal. N 8.
Leningrad: Leningrad Univ. 1981. P. 72-153. (Russian)
- Nazarov S.A. Vishik-Lyusternik method for elliptic boundary-value
problems in regions with conical points. 1. The problem in a cone //
Sibirsk. Mat. Zh. 1981. V. 22, N 4. P. 142-163. (English transl.:
Siberian Math. J. 1982. V. 22. P. 594-611).
- Agalaryan O.B., Nazarov S.A. Influence on the intensity factor
by soldering of the end of a crack under the elastic twisting //
Studies in mechanics of solids. Erevan: Acad. Sci. Armenian SSR,
1981. P. 23-28. (Russian)
- Nazarov S.A. About construction and application of the Rice
integral // Studies in mechanics of solids. Erevan: Acad. Sci.
Armenian SSR, 1981. P. 187-192. (Russian)
- Maz'ya V.G., Nazarov S.A., Plamenevskii B.A. Asymptotics of
solutions to elliptic boundary-value problems under a singular
perturbation of the domain. Tbilisi: Tbilisi Univ. 1981. 208 p.
(Russian)
-
Nazarov S.A.Vishik-Lyusternik method for elliptic boundary-value
problems in regions with conical points. 2. The problem in a bounded
region // Sibirsk. Mat. Zh. 1981. V. 22, N 5. P. 132-152.
(English transl.: Siberian Math. J. 1982. V. 22. P. 753-769).
- Nazarov S.A., Semenov B.N. Asymptotic behavior of solutions of
problems of thin plate bending with discontinuous loads // Prikl.
Mekh. N 5. Leningrad: Leningrad Univ. 1981. P. 135-145.
-
Maz'ya V.G., Nazarov S.A., Plamenevskii B.A. On the asymptotic
behaviour of solutions of the Dirichlet problem in a domain with a
thin tube excluded // Uspehi Mat. Nauk. 1981. V. 36, N 5. P. 183-184.
(English. transl.:
Russ. Math. Surv. 1981. V. 36, N 5. P. 169-170).
-
Maz'ya V.G., Nazarov S.A., Plamenevskii B.A. Asymptotics of solutions
of the Dirichlet problem in a domain with a truncated thin tube //
Mat. sbornik. 1981. V. 116, N 2. P. 187-217. (English transl.:
Math. USSR. Sbornik. 1983. V. 44. P. 167-194).
- Nazarov S.A. On the parameter asymptotics of the solution
to an elliptic boundary-value problem with periodic coefficients
in a cylinder // Differentsial'nye Uravnenia i Primenen. N 30.
Vilnius: Lith. Acad. Sci. 1981. P. 27-46. (Russian)
- Nazarov S.A. On the singularity exponent of stresses for a
crack which has contact patches concentrating towards a vertex
// Dokl. Akad. Nauk Armenian SSR. 1981. V. 73, N 1. P. 51-53.
(Russian)
- Nazarov S.A. On a class of nonquasielliptic equations in
a cylinder // Vestnik Leningrad Univ. 1982. N 1. P. 125-127.
(Russian)
-
Nazarov S.A. Asymptotic of the solution of a nonlinear equation in
the neighborhood of an angular point of the boundary // Mat.
Zametki. 1982. V. 31, N 3. P. 411-420. (English transl.:
Math. Notes. 1982. V. 31. P. 211-216).
-
Dudnikov V.A., Nazarov S.A. Asymptotically exact equations of thin
plates on the basis of Cosserat's theory // Dokl. Akad. Nauk SSSR.
1982. V. 262, N 2. P. 306-310. (English transl.:
Sov. Phys. Dokl. 1982. V. 27. P. 84-86).
-
Nazarov S.A. The structure of solutions of elliptic boundary value
problems in slender domains // Vestnik Leningrad Univ. 1982. N 7.
P. 65-68. (English transl.:
Vestn. Leningr. Univ. Math. 1983. V. 15. P. 99-104).
- Zhuravlev V.P., Nazarov S.A., Shoikhet B.A. Asymptotic behavior
near the tip of a crack of stress-strain state of inhomogeneously
aging bodies // Dokl. Akad. Nauk Armenian SSR. 1982. V. 74, N 1.
P. 26-29. (Russian)
-
Maz'ya V.G., Nazarov S.A., Plamenevskii B.A. Asymptotics of the
solution of the Dirichlet problem in domains with a thin crosspiece //
Funkt. Anal. i Prilozhen. 1982. V. 16, N 2. P. 39-46.
(English transl.:
Funct. Anal. Appl. 1982. V. 16. P. 108-114).
- Nazarov S.A., Morozov N.F. About calculation of energy increment
in the Griffith Problem // Studies in elasticity and plasticity.
N 14. Leningrad: Leningrad Univ. 1982. P. 3-9. (Russian)
-
Maz'ya V.G., Nazarov S.A., Plamenevskii B.A. Absence of De Giorgi-type
theorems for strongly elliptic equations with complex coefficients //
Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. 1982. V. 115.
P. 156-168. (English transl.:
J. Sov. Math. 1985. V. 28. P. 726-734).
- Nazarov S.A. Regular degeneration of elliptic systems with a
small parameter multiplying the highest derivatives // Vestnik
Leningrad Univ. 1982. N 3. P. 106-108. (Russian)
-
Nazarov S.A., Slutskii A.S. One property of the solutions of nonlinear
equilibrium equations near singularities // Izv. Vyssh. Uchebn. Zaved.
Mat. 1982. N 9. P. 36-39. (Engl. transl.:
Sov. Math. 1982. V. 26, N 9. P. 48-52).
-
Maz'ya V.G., Nazarov S.A., Plamenevskii B.A. On homogeneous solutions
of the Dirichlet problem in the exterior of a slender cone // Dokl.
Akad. Nauk SSSR. 1982. V. 266, N 2. P. 281-284. (English transl.:
Sov. Math. Dokl. 1982. V. 26. P. 320-323).
-
Arutyunyan N.Kh., Nazarov S.A., Shoikhet B.A. Bounds and the asymptote
of the stress-strain state of a threedimensional body with a crack in
elasticity theory and creep theory // Dokl. Akad. Nauk SSSR. 1982.
V. 266, N 6. P. 1365-1369. (English transl.:
Sov. Phys. Dokl. 1982. V. 27. P. 817-819).
- Nazarov S.A., Romashev Yu.A. Variation of the intensity factor
under rupture of the ligament between two collinear cracks //
Izv. Akad. Nauk Armenian SSR. Mekh. 1982. N 4. P. 30-40. (Russian)
- Nazarov S.A. Asymptotic of solutions to elliptic equations in
thin domains with piecewise smooth boundaries // Differentsial'nye
Uravnenia i Primenen. N 33. Vilnius: Lith. Acad. Sci. 1982.
P. 62-83. (Russian)
- Dudnikov V.A., Nazarov S.A. Asymptotically exact equations of
thin plates based on the Cosserat theory // Trudy Tbilis. Univ.
1982. V. 232/233. P. 117-150. (Russian)
-
Nazarov S.A., Shoikhet B.A. Asymptotic behavior of the solution of a
certain integro-differential equation near an angular point of the
boundary // Mat. Zametki. 1983. V. 33, N 4. P. 583-594.
(English transl.:
Math. Notes. 1983. V. 33. P. 300-306).
-
Arutyunyan N.Kh., Nazarov S.A. 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. 1983. V. 47,
N 1. P. 122-132. (English transl.:
J. Appl. Math. Mech. 1984. V. 47. P. 94-103).
-
Zhuravlev V.P., Nazarov S.A., Shoikhet B.A. Asymptotics near the tip
of a crack of the state of stress and strain of inhomogeneously aging
bodies // Prikl. Mat. Mekh. 1983. V. 47. N 2. P. 200-208.
(English transl.:
J. Appl. Math. Mech. 1984. V. 47. P. 162-170).
-
Nazarov S.A., Piletskas K.I. On the behavior of solutions of the
Stokes and Navier-Stokes systems in domains with a periodically
varying section // Trudy Mat. Inst. Steklov. 1983. V. 159.
P. 95-102. (English transl.:
Proc. Steklov Inst. Math. 1984. V. 159. P. 97-104).
-
Maz'ya V.G., Nazarov S.A., Plamenevskii B.A. Evaluation of the
asymptotic form of the "intensity coefficients" on approaching corner
or conical points // Zh. Vychisl. Mat. i Mat. Fiz. 1983. V. 23, N 2.
P. 333-346. (English transl.:
USSR Comput. Math. Math. Phys. 1983. V. 23, N 2. P. 50-58).
- Nazarov S.A. Stress-strain state at a point of accumulation
of collinear microcracks // Vestnik Leningrad Univ. 1983. N 13.
P. 63-68. (Russian)
- Dudnikov V.A., Nazarov S.A. A relation between the intensity
factors in classical and couple-stress elasticity theory //
Mekhanika tverd. tela. 1983. N 3. P. 185-187. (Russian)
-
Maz'ya V.G., Nazarov S.A., Plamenevskii B.A. On the bending of a
nearly polygonal plate with freely supported boundary //
Izv. Vyssh. Uchebn. Zaved. Mat. 1983. N 8. P. 34-40. (English
transl.:
Sov. Math. 1983. V. 27, N 8. P. 40-48).
-
Zorin I.S., Nazarov S.A. Asymptotic form of the stress-strain state of
an elastic space with a rigid toroidal inclusion // Dokl. Akad. Nauk
SSSR. 1983. T. 272, N 6. P. 1340-1343. (English transl.:
Sov. Phys. Dokl. 1983. V. 28. P. 900-902).
- Nazarov S.A., Shoikhet B.A. 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. Ser. Mekh. 1983. N 4. P. 12-25. (Russian)
- Arutyunyan N.Kh., Nazarov S.A., Shoikhet B.A. Asymptotics of
solutions of problems of the creep theory for inhomogeneously aging
bodies with two-dimensional cracks // Izv. Akad. Nauk Armenian SSR.
Ser. Mekh. 1983. N 5. P. 17-30 (Russian)
-
Maz'ya V.G., Nazarov S.A., Plamenevskii B.A. On the singularities of
solutions of the Dirichlet problem in the exterior of a slender cone
// Mat. sbornik. 1983. V. 122, N 4. P. 435-456. (English transl.:
Math. USSR Sbornik. 1985. V. 50. P. 415-437).
- Nazarov S.A. Introduction to asymptotic methods of the
elasticity theory. Leningrad: Leningrad Univ. 1983. 117 p. (Russian)
-
Nazarov S.A. Asymptotics at infinity for a solution of the von Neumann
problem with conjugate conditions in an angle // Izv. Vyssh. Uchebn.
Zaved. Mat. 1984. N 1. P. 18-25. (English transl.:
Sov. Math. 1984. V. 28, N 1. P. 19-27).
-
Nazarov S.A., Proskura A.V. Asymptotically exact equation of bending
of a beam on an elastic foundation // Vestnik Leningrad Univ. 1984.
N 1. P. 19-27. (English transl.:
Leningr. Univ. Mech. Bull. 1984. N 1. P. 19-27).
-
Maz'ya V.G., Nazarov S.A., Plamenevskii B.A. Dirichlet problem in
domains with thin bridges // Sibirsk. Mat. Zh. 1984. V. 25, N 2.
P.161-179. (English transl.:
Siberian Math. J. 1984. V. 25. P. 297-313).
-
Maz'ya V.G., Nazarov S.A., Plamenevskii B.A. Asymptotic expansions
of the eigenvalues of boundary value problems for the Laplace
operator in domains with small holes // Izv. Akad. Nauk SSSR. Ser.
Mat. 1984. V. 48, N 2. P. 347-371. (English transl.:
Math. USSR Izvestiya. 1985. V. 24. P. 321-345).
- Maz'ya V.G., Nazarov S.A. On the Sapongyan-Babuska paradox in
problems of the theory of thin plates // Dokl. Akad. Nauk Armenian
SSR. 1984. V. 78, N 3. P. 127-130. (Russian)
-
Nazarov S.A. Vishik-Lyusternik method for elliptic boundary-value
problem in domains with conical point. 3. Problem with degeneracy at
a conical point // Sibirsk. Mat. Zh. 1984. V. 25, N 6. P. 106-115.
(English transl.:
Siberian Math. J. 1984. V. 25. P. 917-925).
-
Maz'ya V.G., Nazarov S.A., Plamenevskii B.A. Elliptic boundary-value
problems in domains of the exterior-of-a-cusp type // Probl. mat.
anal. N 9. Leningrad: Leningrad Univ. 1984. P. 105-148.
(English transl.:
J. Sov. Math. 1986. V. 35. P. 2227-2256).
- Nazarov S.A., Paukshto M.V. Discrete models and homogenization
in problems of the elasticity theory. Leningrad: Leningrad Univ.
1984. 93 p. (Russian)
-
Nazarov S.A., Piletskas K.I. Asymptotics of the solution of the
nonlinear Dirichlet problem having a strong singularity near a corner
point // Izv. Akad. Nauk SSSR. Ser. Mat. 1984. V. 48, N 6.
P. 1225-1244. (English transl.:
Math. USSR Izvestiya. 1985. V. 25. P. 531-550).
- Zorin I.S., Nazarov S.A. Strain-stress state of an elastic
space with a thin toroidal inclusion // Mekhanika tverd. tela.
1985. N 3. P. 79-86. (Russian)
-
Nazarov S.A. On the constants in the asymptotic expansion of solutions
of elliptic boundary value problems with periodic coefficients in a
cylinder // Vestnik Leningrad Univ. 1985. N 15. P. 16-22.
(English transl.:
Vestn. Leningrad Univ. Math. 1985. V. 18, N 3. P. 17-22).
- Movchan A.B., Nazarov S.A. Asymptotics of the strain-stress
state near to spatial spike-shaped inclusion // Mekhanika kompozitn.
materialov. 1985. N 5. P. 792-800. (Russian)
-
Maz'ya V.G., Nazarov S.A. The vertex of a cone can be nonregular in
the Wiener sense for a fourth-order elliptic equation // Mat. Zametki.
1986. V. 39, N 1. P. 24-28. (English transl.:
Math. Notes. 1986. V. 39. P. 14-16).
-
Nazarov S.A. Justification of asymptotic expansions of the eigenvalues
of nonselfadjoint singularly perturbed elliptic boundary value
problems // Mat. sbornik. 1986. V. 129, N 3. P. 307-337.
(English transl.:
Math. USSR Sbornik. 1987. V. 57. P. 317-349).
- Movchan A.B., Nazarov S.A. Stress-strain state at the top of
a sharp inclusion // Mekhanika tverd. tela. 1986. N 3. P. 155-163.
(Russian)
-
Nazarov S.A., Piletskas K.I. Weighted function spaces with anisotropic
weight distribution // Litovsk. mat. sbornik. 1986. V. 26, N 1.
P. 99-112. (English transl.:
Lithuanian Math. J. 1986. V. 26. P. 62-73).
-
Arutunyan N.Kh., Movchan A.B., Nazarov S.A. On correct formulations of
Lekhnitskii problem // Prikl. Mat. Mekh. 1986. V. 50, N 2.
P. 237-246. (English transl.:
J. Appl. Math. Mech. 1986. V. 50. P. 174-182).
-
L¥ora S.N., Nazarov S.A., Proskura A.V. Derivation of limiting
equations for elliptic
problems in thin domains using computers // Zh. Vychisl. Mat. i Mat.
Fiz. 1986. V. 26, N 7. P. 1032-1048. (English transl.:
USSR Comput. Math. Math.
Phys. 1986. V. 26, N 4. P. 47-58).
-
Nazarov S.A., Chernyaev P.K. Antiplane shear of a domain with two
closely located cracks // Prikl. Mat. Mekh. 1986. V. 50, N 5.
P. 815-825. (English transl.:
J. Appl. Math. Mech. 1986. V. 50. P. 629-637).
-
Movchan A.B., Nazarov S.A. Asymptotic behavior of the stress-strain
state in the vicinity of sharp inclusions // Dokl. Akad. Nauk SSSR.
1986. V. 290, N 1. P. 48-51. (English transl.:
Sov. Phys. Dokl. 1986. V. 31. P. 772-774).
- Nazarov S.A., Semenov B.N. Asymptotics of solutions to the
problems of mechanics of cracks in the couple-stress formulation //
Studies in elasticity and plasticity. N 15. Leningrad: Leningrad
Univ. 1986. P. 118-135. (Russian)
- Morozov N.F., Nazarov S.A., Proskura A.V. Boundary value
problems of the elasticity theory for plane domains with thin
borderings // Mekhanika deform. tev. Moscow: Nauka. 1986. P. 82-93.
(Russian)
-
Maz'ya V.G., Nazarov S.A. Paradoxes of limit passage in solutions of
boundary value problems involving the approximation of smooth domains
by polygonal domains // Izv. Akad. Nauk SSSR. Ser. Mat. 1986. V. 50,
N 6. P. 1156-1177. (English transl.:
Math. USSR Izvestiya. 1987. V. 29. P. 511-533).
-
Movchan A.B., Morozov N.F., Nazarov S.A. Cracks with smoothly closing
edges under plane deformation // Prikl. Mat. Mekh. 1987. V. 51,
N 1. P. 130-139. (English transl.:
J. Appl. Math. Mech. 1987. V. 51, N 1. P. 99-107).
- Movchan A.B., Nazarov S.A. Strain-stress state of the plane
domain with a thin elastic inclusion of finite sizes // Mekhanika
tverd. tela. 1987. N 1. P. 75-83. (Russian)
-
Maz'ya V.G., Nazarov S.A. The asymptotic behavior of energy integrals
under small perturbations of the boundary near corner points and
conical points // Trudy Moskov. Mat. Obshch. 1987. V. 50. P. 79-129.
(English transl.:
Trans. Mosc. Math. Soc. 1988. V. 50. P. 77-127).
-
Nazarov S.A. Singularities of the gradient of the solution of the
Neumann problem at the vertex of a cone // Mat. Zametki. 1987. V. 42,
N 1. P. 79-93. (English transl.:
Math. Notes. 1987. V. 42, N 1/2. P. 555-563).
-
Nazarov S.A. Asymptotics of eigenvalues of the Dirichlet problem in a
thin domain // Izv. Vyssh. Uchebn. Zaved. Mat. 1987. N 11. P. 54-64.
(English transl.:
Sov. Math. 1987. V. 31, N 11. P. 68-80).
-
Nazarov S.A., Trapeznikov L.P., Shoikhet B.A. On the correspondence
principle in the plane creep problem of aging homogeneous media with
developing slits and cavities // Prikl. Mat. Mekh. 1987. V. 51, N 3.
P. 504-512. (English transl.:
J. Appl. Math. Mech. 1987. V. 51, N 3. P. 392-399).
-
Nazarov S.A., Piletskas K.I. Estimates of the solutions of the
Dirichlet problem for some
equation with a small parameter at the highest derivatives //
Litovsk. mat. sbornik. 1987. V. 27, N 2. P. 327-343. (English transl.:
Lithuanian Math. J. 1987. V. 27, N 2. P. 145-156).
-
Nazarov S.A., Pileckas K.I. Estimates, uniform with respect to a
complex parameter, of solutions of an ordinary second-order
differential equation // Litovsk. mat. sbornik. 1987. V. 27, N 3.
P. 508-522. (English transl.:
Lithuanian Math. J. 1987. V. 27, N 3. P. 244-254).
- Nazarov S.A. Asymptotic expansions of eigenvalues. Leningrad:
Leningrad Univ. 1987. 109 p. (Russian)
- Nazarov S.A. 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. 1987. V. 40, N 5.
P. 24-34. (Russian)
- Arutyunyan N.Kh., Movchan A.B., Nazarov S.A. Behavior of
solutions to problems of the elasticity theory in unbounded domains
with paraboloidal and cylindric inclusions and cavities // Uspekhi
mekhaniki. 1987. N 4. P. 3-91. (Russian)
-
Nazarov S.A., Shoikhet B.A. Ellipticity of plane stress problem of
elasticity theory // Izv. Vyssh. Uchebn. Zaved. Mat. 1988. N 1.
P. 57-66. (English transl.:
Sov. Math. 1988. V. 32, N 1. P. 71-83).
-
Nazarov S.A. Estimates near the edge of the solution of the Neumann
problem for an elliptic system // Vestnik Leningrad. Univ. 1988. N 1.
P. 37-42. (English transl.:
Vestn. Leningr. Univ. Math. 1988. V. 21, N 1. P. 52-59).
-
Nazarov S.A. Local stability and nonstability of mode-one cracks //
Mekhanika tverd. tela. 1988. N 3. P. 124-129. (English transl.:
Mech. Solids. 1988. V. 23. P. 117-122).
-
Nazarov S.A., Chernyaev P.K. Application of the beam theory of cracks
// Vestnik Leningrad. Univ. 1988. N 15. P. 104-106. (English transl.:
Leningr. Univ. Mech. Bull. 1988. N 3. P. 58-60).
- Movchan A.B., Nazarov S.A., Polyakova O.R. On the stress
concentration near to soft and hard spike-shaped inclusions //
Mekhanika tverd. tela. 1988. N 4. P. 106-113. (Russian)
-
Golovatyi Yu.D., Nazarov S.A., Oleinik O.A., Soboleva T.S.
Eigenoscillations of a string with an additional mass //
Sibirsk. Mat. Zh. 1988. V. 29, N 5. P. 71-91. (English transl.:
Siberian Math. J. 1988. V. 29, N 5. P. 744-760).
- Nazarov S.A. Boundary value problems for single-characteristic
equation. 1. The characteristic is transversal to the boundary //
Differentsial'nye Uravnenia i Primenen. N 42. Vilnuis: Lith.
Acad. Sci. 1988. P. 42-58. (Russian)
-
Golovatyi Yu.D., Nazarov S.A., Oleinik O.A. The asymptotic behaviour
of eigenvalues and eigenfunctions in problems on
vibrations of a medium with singular perturbation of the density
// Uspehi Mat. Nauk. 1988. V. 43, N 5. P. 189-190. (English transl.:
Russ. Math. Survey. 1988. V. 43, N 5. P. 229-230).
- Zorin I.S., Movchan A.B., Nazarov S.A. Application of the
elastic polarization tensor in the problems of the crack mechanics
// Mekhanika tverd. tela. 1988. N 6. P. 128-134. (Russian)
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Nazarov S.A. Selfadjoint extensions of the Dirichlet problem operator
in weighted function spaces // Mat. sbornik. 1988. V. 137, N 2.
P. 224-241. (English transl.:
Math. USSR Sbornik. 1990. V. 65, N 1. P. 229-247).
- Nazarov S.A., Romashev Yu.A. The energy balance and the
stability of the crack propagation in the frame of the deformation
criterion of fracture // Fiz.-khim. mekhanika materialov. 1988.
N 6. P. 44-49. (Russian)
- Nazarov S.A. Nonlinear effects in deformation of composites
with regular family of microcracks // Mekhanika kompozitn.
materialov. 1988. N 6. P. 1052-1059. (Russian)
- Movchan N.V., Nazarov S.A. Stress singularities at vertices
of conic inclusions // Dinamika Sploshn. Sredy. N 87. Novosibirsk:
Akad. Nauk SSSR. P. 97-105. (Russian)
- Movchan A.B., Morozov N.F., Nazarov S.A. Fracture near
peak-shaped inclusions with interference fit // Plasticity and
fracture of solids. Moscow: Nauka. 1988. P. 137-145. (Russian)
- Nazarov S.A. Behavior at infinity of the solutions of Lam\`e
and Stokes systems in a sector of a layer // Dokl. Akad. Nauk
Armenian SSR. 1988. V. 87, N 4. P. 156-159. (Russian)
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Nazarov S.A. Derivation of the variational inequality for small
increase of mode-one crack // Mekhanika tverd. tela. 1989. N 2.
P. 152-160. (English transl.:
Mech. Solids. 1989. V. 24. P. 145-152).
-
Nazarov S.A., Romashev Yu.A. Energy variation in the Griffith problem
in a Cosserat continuum // Vestnik Leningrad. Univ. 1989. N 8.
P. 55-58. (English transl.:
Leningr. Univ. Mech. Bull. 1989. N 2. P. 26-30).
-
Maz'ya V.G., Nazarov S.A. Singularities of solutions of the Neumann
problem at a conical point // Sibirsk. Mat. Zh. 1989. V. 30, N 3.
P. 52-63. (English transl.:
Siberian Math. J. 1989. V. 30, N 3. P. 387-396).
-
Zorin I.S., Nazarov S.A. Edge effect in the bending of a thin
three-dimensional plate // Prikl. Mat. Mekh. 1989. V. 53, N 4.
P. 642-650. (English transl.:
J. Appl. Math. Mech. 1989. V. 53, N 4. P. 500-507).
-
Movchan A.B., Morozov N.F., Nazarov S.A. Three-dimensional crack with
gradually converging sides // Vestnik Leningrad. Univ. 1989. N 15.
P. 60-62. (English transl.:
Leningr. Univ. Mech. Bull. 1989. N 3. P. 30-33).
-
Nazarov S.A. A Sanchez-Palencia problem with Neumann boundary
conditions // Izv. Vyssh. Uchebn. Zaved. Mat. 1989. N 11. P. 60-66.
(Inglich transl.:
Sov. Math. 1989. V. 33, N 11. P. 73-78).
- Babich V.M., Zorin I.S., Ivanov M.I., Movchan A.B.,
Nazarov S.A. Integral characteristics in problems of the
elasticity theory // Preprint P-6-89 Leningrad. otd. Mat. inst.
Steklov. 1989. 62 p. (Russian)
- Arutyunyan N.Kh., Movchan A.B., Nazarov S.A. On asymptotic
interpretation of solutions of the Lekhnitskii problem //
Prikl. Mat. i Tekhn. Fiz. 1989. N 5. P. 123-127. (Russian)
-
Movchan A.B., Nazarov S.A. Stress-strain state near the tip of a
perfectly rigid three-dimensional spike introduced into an elastic
body // Prikl. mekh. 1989. V. 25, N 12. P. 10-19. (English transl.:
Sov. Appl. Mech. 1989. V. 25, N 12. P. 1172-1180).
-
Nazarov S.A. Asymptotic behavior of the solution of an elliptic
boundary value problem in a thin domain // Probl. Mat. Anal. N 11.
Leningrad: Leningrad Univ. 1990. P. 191-208. (English transl.:
J. Sov. Math. 1993. V. 64, N 6. P. 1351-1362).
-
Maz'ya V.G., Morozov N.F., Nazarov S.A. On the elastic strain energy
release due to the variation of the domain near the angular stress
concentrator // LiTH-MATH-R-90-21 (Linkoping University, Sweden).
1990. 35 p.
-
Nazarov S.A. A Dirichlet problem for an elliptic system with periodic
coefficients in the angular domain // Vestnik Leningrad. Univ.
1990.
N 1. P. 32-35. (English transl.:
Vestn. Leningr. Univ. Math. 1990. V. 23, N 1. P. 33-35).
-
Nazarov S.A. Perturbations of solutions of the Signorini problem for
a second-order scalar equation // Mat. Zametki. 1990. V. 47, N 1.
P. 115-126. (English transl.:
Math. Notes. 1990. V. 47, N 1. P. 75-82).
-
Nazarov S.A. Asymptotic solution of the Navier-Stokes problem on the
flow of a thin layer of fluid // Sibirsk. Mat. Zh. 1990. V. 31, N 2.
P. 131-144. (English transl.:
Siberian Math. J. 1990. V. 31, N 2. P. 296-307).
-
Nazarov S.A., Polyakova O.R. Stress intensity factors for parallel
cracks lying close together in a plane region // Prikl. Mat. Mekh.
1990. V. 54, N 1. P. 107-115. (English transl.:
J. Appl. Math. Mech. 1990. V. 54, N 1. P. 107-115).
- Zorin I.S., Movchan A.B., Nazarov S.A. Application of tensors
of elastic capacity, polarization and associated deformation //
Studies in elasticity and plasticity. N 16. Leningrad: Leningrad
Univ. 1990. P. 75-91. (Russian)
-
Nazarov S.A. Elliptic inequalities for thin elastic bodies with a
small friction coefficient // Differentsial'nye Uravneniya. 1990.
V. 26, N 4. P. 667-687. (English transl.:
Differ. Equations. 1990. V. 26, N 4. P. 498-507).
-
Movchan N.V., Nazarov S.A. On the state of stress and strain near cone
apices // Prikl. Mat. Mekh. 1990. V. 54, N 2. P. 281-293. (English
transl.:
J. Appl. Math. Mech. 1990. V. 54, N 2. P. 231-242).
-
Movchan A.B., Nazarov S.A. Formation of a Griffith's crack in a
nonuniform stress field // Fiz.-khim. mekhanika materialov. 1990.
N 1. P. 26-31. (English transl.:
Soviet Materials Science. 1990. V. 26, N 1. P. 23-27).
- Nazarov S.A. Weight functions and invariant integrals //
Vychisl. Mekh. Deform. Tverd. Tela. 1990. V. 1. P. 17-31.
(Russian)
-
Nazarov S.A., Plamenevskii B.A. On radiation conditions for
selfadjoint elliptic problems // Dokl. Akad. Nauk SSSR. 1990. V. 311,
N 3. P. 532-536. (English transl.:
Sov. Math. Dokl. 1990. V. 41, N 2. P. 274-277).
-
Nazarov S.A., Plamenevskii B.A. Neumann problem for selfadjoint
elliptic systems in a domain with piecewise smooth boundary //
Trudy Leningrad. Mat. Obshch. 1990. V. 1. P. 174-211.
(English transl.:
Transl. Am. Math. Soc. Ser. 2. 1993. V. 155. P. 169-206).
-
Nazarov S.A. Asymptotic solution of variational inequalities for a
linear operator with a small parameter on the highest derivatives //
Izv. Akad. Nauk SSSR. Ser. Mat. 1990. V. 54, N 4. P. 754-773.
(English transl.:
Math. USSR. Izvestiya. 1991. V. 37, N 1. P. 97-117).
-
Nazarov S.A., Plamenevskii B.A. Asymptotics of the spectrum of the
Neumann problem in singularly perturbed thin domains // Algebra
Analiz. 1990. V. 2, N 2. P. 85-111. (English transl.:
Leningr. Math. J. 1991. V. 2, N 2. P. 287-311).
-
Movchan N.V., Nazarov S.A. Asymptotics of singularity exponents at
the tip of an angular crack // Vestnik Leningrad. Univ. 1990. N 15.
P. 34-38. (English transl.:
Vestn. Leningr. Univ. Math. 1990. V. 23, N 3. P. 44-48).
-
Nazarov S.A. Averaging of boundary value problems in a domain
containing a thin cavity with periodically varying cross-section //
Trudy Moskov. Mat. Obshch. 1990. V. 53. P. 98-129. (English transl.:
Trans. Mosc. Math. Soc. 1991. V. 53. P. 101-134).
-
Nazarov S.A. Asymptotic solution of a variational inequality modeling
friction // Izv. Akad. Nauk SSSR. Ser. Mat. 1990. V. 54, N 5.
P. 990-1020. (English transl.:
Math. USSR. Izvestiya. 1991. V. 37, N 2. P. 337-369).
- Nazarov S.A. Elastic capacity and polarization of a defect
in an elastic layer // Mekhanika tverd. tela. 1990. N 5. P. 57-65.
(Russian)
-
Golovaty Yu.D., Nazarov S.A., Oleinik O.A. Asymptotic expansions of
eigenvalues and eigenfunctions in problems on oscillations of a medium
with concentrated perturbations // Trudy Mat. Inst. Steklov. 1990.
V. 192. P. 49-60. (English transl.:
Proc. Steklov Inst. Math. 1992. V. 192. P. 42-60).
-
Movchan A.B., Nazarov S.A. Cracks in composite materials. 1.
Semi-infinite crack in an elastic plane with an orthotropic composite
strip // Mekhanika kompozitn. materialov. 1990. N 5. P. 842-851.
(English transl.:
Mechanics of Composite Materials. 1990. V. 26, N 5. P. 614-621).
-
Movchan A.B., Nazarov S.A. Cracks in composite materials 2. Finite
crack in the
orthotropic composite plane //
Mekhanika kompozitn. materialov. 1990.
N 6. P. 1038-1046. (English transl.:
Mechanics of Composite Materials. 1990. V. 26, N 6. P. 750-757).
-
Nazarov S.A., Pileckas K.I. Reynolds flow of a fluid in a thin
three-dimensional channel // Litovsk. mat. sbornik. 1990. V. 30,
N 4. P. 772-783. (English transl.:
Lithuanian Math. J. 1990. V. 30, N 4. P. 366-375).
- Nazarov S.A., Plamenevsky B.A. On the Neumann problem in domains
with edges // Symposium "Analysis on manifolds with singularities"
(Breitenbrunn, 1990). Stuttgart:
Teubner-Texte Math. 1992. V. 131. P. 144-157.
-
Nazarov S.A. Two-term asymptotics of solutions of spectral problems
with singular perturbations // Mat. sbornik. 1991. V. 69, N 2.
P. 307-340. (English transl.:
Math. USSR. Sbornik. 1991. V. 69, N 2. P. 307-340).
-
Nazarov S.A., Polyakova O.R. Fracture of a narrow bridge between
cracks lying in the same plane // Prikl. Mat. Mekh. 1991. V. 55,
N 1. P. 165-173. (English transl.:
J. Appl. Math. Mech. 1991. V. 55, N 1. P. 128-135).
- Nazarov S.A. Asymptotics of the Stokes system solutions at a
surfaces contact point // C. R. Acad. Sci. Paris. S\'er. 1. 1991. T.
312. P. 207-211.
-
Nazarov S.A. On three-dimensional effects near the vertex of a crack
in a thin plate // Prikl. Mat. Mekh. 1991. V. 55, N 3. P. 500-510.
(English transl.:
J. Appl. Math. Mech. 1991. V. 55, N 3. P. 407-415).
-
Nazarov S.A. Asymptotics of the solution of a Dirichlet problem in an
angular domain with a periodically changing boundary //
Mat. Zametki. 1991. V. 49, N 5. P. 86-96. (English transl.:
Math. Notes. 1991. V. 49, N 5. P. 502-509).
- Mazja W.G., Nazarov S.A., Plamenewski B.A. Asymptotische Theorie
elliptischer Randwertaufgaben in singul\"ar gest\"or ten
Gebieten. 1. Berlin: Akademie-Verlag. 1991. 432 S.
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Nazarov S.A. The spatial structure of the stress field in the
neighbourhood of the corner point of a thin plate //
Prikl. Mat. Mekh. 1991. V. 55, N 4. P. 523-530. (English transl.:
J. Appl. Math. Mech. 1991. V. 55, N 4. P. 523-530).
-
Alfutova N.B., Movchan A.B., Nazarov S.A. Algebraic equivalence of
plane problems for orthotropic and anisotropic media //
Vestnik Leningrad. Univ. 1991. N 15. P. 64-68. (English transl.:
Leningr. Univ. Mech. Bull. 1991. N 3. P. 1-6).
- Nazarov S.A., Plamenevskii B.A. Radiation principles for
self-adjoint elliptic problems // Probl. Mat. Fiz. N 13. Leningrad:
Leningrad Univ. 1991. P. 192-244. (Russian)
-
Movchan A.B., Nazarov S.A. The unfluence of small surface
irregularities on the stress state of a body and the energy balance
for a growing crack // Prikl. Mat. Mekh. 1991. V. 55, N 5.
P. 819-828. (English transl.:
J. Appl. Math. Mech. 1991. V. 55, N 5. P. 691-701).
-
Movchan A.B., Nazarov S.A. Possibility of stress singularities at the
tip of a spike shaped inclusion // Fiz.-khim. mekhanika materialov.
1991. N 2. P. 98-102. (English transl.:
Soviet Materials Science. 1991. V. 27, N 2. P. 191-195).
-
Nazarov S.A. Asymptotics of the solution of the Dirichlet problem for
an equation with rapidly oscillating coefficients in a rectangle //
Mat. sbornik. 1991. V. 182, N 5. P. 692-722. (English transl.:
Math. USSR Sbornik. 1992. V. 73, N 1. P. 79-110).
- Movchan A.B., Nazarov S.A., Polyakova O.R. The quasistatic growth
of a semi-infinite crack in a plane containing small defects // C.R.
Acad. Sci. Paris. S\'er. 2. 1991. T. 313. P. 1223-1228.
- Nazarov S.A., Plamenevsky B.A. Elliptic problems in domains
with piecewise smooth bourdaries. Moscow: Nauka. 1991. 336 p.
(Russian)
- Mazja W.G., Nazarov S.A., Plamenewski B.A. Asymptotische Theorie
elliptischer Randwertaufgaben in singul\"ar gest\"or ten
Gebieten. 2. Berlin: Akademie-Verlag. 1991. 319 S.
- Zorin I.S., Nazarov S.A. Two-term asymptotics of the solution
to the problem on longitudinal deformation of a plate clamped at the
edge // Vychisl. Mekh. Deform. Tverd. Tela. 1992. V. 2. P. 10-21.
(Russian)
-
Nazarov S.A. The Korn inequalities which are asymptotically sharp for
thin domains // Vestnik St.-Petersburg. Univ. 1992. N 8. P. 19-24.
(English transl.:
Vestn. St.Petersburg Univ. Math. 1992. V. 25, N 2. P. 18-22).
- Movchan A.B., Nazarov S.A., Polyakova O.R. Increment of the
intensity factors due to elongation of a curvelinear crack //
Mekhanika tverd. tela. 1992. N 1. P. 84-93. (Russian)
- Nazarov S.A., Polyakova O.R. On the equivalence of the fracture
criteria for a mode-one crack in an elastic space // Mekhanika tverd.
tela. 1992. N 2. P. 101-113. (Russian)
-
Nazarov S.A., Polyakova O.R. Asymptotic expansions of eigenvalues of
the Neumann problem in a domain with a thin bridge // Sibirsk. Mat.
Zh. 1992. V. 33, N 4. P. 80-96. (English transl.:
Sib. Math. J. 1992. V. 33, N 4. P. 618-633).
-
Nazarov S.A., Plamenevskii B.A. Selfadjoint elliptic problems with
radiation conditions on the edges of the boundary //
Algebra Analiz. 1992. V. 4, N 3. P. 196-225. (English transl.:
St. Petersburg Math. J. 1993. V. 4, N 3. P. 569-594).
- Nazarov S.A. Asymptotics of the solutions to the Signorini
problem without friction or with small friction // Probl. Mat. Anal.
N 12. St.-Petersburg: St.-Petersburg Univ. 1992. P. 82-109.
(Russian)
-
Nazarov S.A., Plamenevskii B.A. A generalized Green's formula for
elliptic problems in domains with edges // Probl. Mat. Anal. N 13.
St.-Petersburg: St.-Petersburg Univ. 1992. P. 106-147. (English
transl.:
J. Math. Sci. 1995. V. 73, N 6. P. 674-700).
- Nazarov S.A. Three-dimensional effects at plate crack tips //
C.R.Acad. Sci. Paris. S\'er. 2. 1992. T. 314. P. 995-1000.
-
Nazarov S.A., Polyakova O.R. Deformation of elastic bodies with thin
ligaments // Prikl. Mat. Mekh. 1992. V. 50, N 5. P. 52-65.
(English transl.:
J. Appl. Mech. 1992. V. 56, N 5. P. 651-664).
-
Nazarov S.A., Plamenevskii B.A. Elliptic problems with radiation
conditions on edges of the boundary // Mat. sbornik. 1992. V. 183,
N 10. P. 13-44. (English transl.:
Math. sbornik. 1994. V. 77, N 1. P. 149-176).
- Kolton L.H., Nazarov S.A. Quasistatic propagation of a mode-I
crack in an elastic space // C.R.Acad. Sci. Paris. S\'er. 2. 1992.
T. 315. P. 1453-1457.
-
Nazarov S.A. New series of asymptotics of eigenvalues of the
Sturm-Liouville problem with rapidly oscillating coefficients //
Mat. Zametki. 1992. V. 52, N 5. P. 83-87. (English transl.:
Math. Notes. 1992. V. 52, N 5. P. 1134-1136).
- Movchan A.B., Nazarov S.A. Asymptotic behavior of stress-strain
state in the vicinity of sharp defects in an elastic body // IMA J.
Appl. Math. 1992. V. 49, N 3. P. 245-272.
-
Nazarov S.A. Asymptotics of the solution to a boundary value problem
in a thin cylinder with nonsmooth lateral surface //
Izv. Ross. Akad. Nauk. Ser. Mat. 1993. V. 57, N 1. P. 202-239.
(English transl.:
Math. Izvestiya. 1994. V. 42, N 1. P. 183-217).
-
Zorin I.S., Nazarov S.A. Asymptotics of the energy integrals for
problems with small parameter at higher derivatives //
Izv. Vyssh. Uchebn. Zaved. Œ t. 1993. N 1. P. 12-16. (English
transl.:
Russ. Math. 1993. V. 37, N 1. P. 10-15).
- Nazarov S.A. Concentrated masses problems for a spatial elastic
body // C.R.Acad. Sci. Paris. S\'er. '1. 1993. T. 316, N 12. 1993.
P. 1329-1334.
- Argatov I.I., Nazarov S.A. Junction problem of shashlik (skewer)
type // C.R.Acad. Sci. Paris. S\'er. 1. 1993. V. 316, N 6. P. 627-632.
-
Nazarov S.A., Polyakova O.R. Asymptotic behavior of the stress-strain
state near a spatial singularity of the boundary of the beak tip type
// Prikl. Mat. Mekh. 1993. V. 57, N 5. P. 130-149.
(English transl.:
J. Appl. Math. Mech. 1993. V. 57, N 5. P. 887-902).
- Nazarov S.A., Polyakova O.R. Deformation and tear-off of
a thin gasket from hardly compressible material // Mechanika tverd.
tela. 1993. N 5. P. 123-134. (Russian)
- Nazarov S.A. Interaction of concentrated masses in a harmonically
oscillating spatial body with Neumann boundary conditions // RAIRO
Model. Math. Anal. Numer. 1993. V. 27, N 6. P. 777-799.
- Nazarov S.A., Pileckas K. On noncompact free boundary problems
for the plane stationary Navier-Stokes equations // J. reine angew
Math. 1993. V. 438. P. 103-141.
-
Mel'nik T.A., Nazarov S.A. The asymptotic structure of the spectrum
in the problem of harmonic oscillations of a hub with heavy spokes //
Dokl. Ross. Akad. Nauk. 1993. V. 333, N 1. P. 13-15.
(English transl.:
Russ. Acad. Sci. Dokl., Math. 1994. V. 48, N 3. P. 428-432).
-
Nazarov S.A., Olyushin M.V. Perturbation of eigenvalues of the
Neumann problem due to variations of a domain's boundary //
Algebra Analiz. 1993. V. 5, N 2. P. 169-188. (English transl.:
St. Peterburg Math. J. 1994. V. 5, N 2. P. 371-387).
-
Nazarov S.A., Polyakova O.R. The Griffith criterion for a separation
crack with nonlinear effects in the tip zones // Dokl. Ross. Akad.
Nauk. 1994. V. 335, N 2. P. 182-184. (English transl.:
Phys. Dokl. 1994. V. 39, N 3. P. 199-201).
-
Nazarov S.A. 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. 1994. V. 58, N 1. P. 92-120.
(English transl.:
Math. Izvestiya. 1995. V. 44, N 1. P. 91-118).
-
Argatov I.I., Nazarov S.A. Asymptotic solution to the Signorini
problem with small parts of the free boundary // Siberian Mat. Zh.
1994. V. 35, N 2. P. 258-277. (English transl.:
Sib. Math. J. 1994. V. 35, N 2. P. 231-249).
-
Argatov I.I., Nazarov S.A. Asymptotic solution of the problem of an
elastic body lying on several small supports // Prikl. Mat. Mekh.
1994. V. 58, N 2. P. 110-118. (English transl.:
J. Appl. Math. Mech. 1994. V. 58, N 2. P. 303-311).
- Nazarov S.A., Plamenevsky B.A. Elliptic problems in domains with
piecewise smooth boundaries. Berlin, New York: Walter de Gruyter.
1994. 525 p.
-
Nazarov S.A., Plamenevskii B.A. Selfadjoint elliptic problems: The
scattering operator and the polarization operator on edges of the
boundary // Algebra Analiz. 1994. V. 6, N 4. P. 157-186.
(English transl.:
St. Petersburg Math. J. 1995. V. 6, N 4. P. 839-863).
- Nazarov S.A. Asymptotic solutions of a variational inequality
with small obstacles // C. R. Acad. Sci. Paris. S\'er. 1. 1994.
T. 318, N 11. P. 1059-1064.
- Mel'nyk T.A., Nazarov S.A. Asymptotic structure of the spectrum
of the Neumann problem in a thin comb-like domain // C.R. Acad. Sci.
Paris. S\'er. 1. 1994. T. 319, N 12. P. 1343-1348.
- Nazarov S.A., Polyakova O.R. Weight functions and invariant
integrals of higher orders // Mekhanika tverd. tela. 1995. N 1.
P. 104-109. (Russian)
-
Nazarov S.A. Asimptotic solution to a problem with small obstacles //
Differentsial'nye Uravneniya. 1995. V. 31, N 6. P. 1031-1041.
(English transl.:
Differential equations. 1995. V. 31, N 6. P. 965-974).
- Nazarov S.A. Junction problem of bee-on-ceiling type in the
theory of anisotropic elasticity // C. R. Acad. Sci. Paris. S\'er. 1.
1995. T. 320, N 11. P. 1419-1424.
-
Nazarov S.A., Chernyaev P.K. The asymptotic behavior of a solution to
the boundary-value problem in a degenerate domain with rapidly
oscillating boundary // Probl. Mat. Anal. N 14. St.-Petersburg:
St.-Petersburg Univ. 1995. P. 63-90. (English transl.:
J. Math. Sci. 1995. V. 77, N 4. P. 3303-3322).
-
Mel'nik T.A., Nazarov S.A. Asymptotics of Neumann problem eigenvalues
in a "dense comb" type domain // Dokl. Ross. Akad. Nauk. 1995. V. 342,
N 1. P. 23-25. (English transl.:
Russ. Acad. Sci. Dokl., Math. 1995. V. 51, N 3. P. 326-328).
-
Nazarov S.A. A general scheme for averaging selfadjoint elliptic
systems in multidimensional domains, including thin domains //
Algebra Analiz. 1995. V. 7, N 5. P. 1-92. (English transl.:
St. Petersburg Math. J. 1996. V. 7, N 5. P. 681-748).
- Movchan N.V., Nazarov S.A. A quasistatic growth of the
fracture channel // Prikl. mekhanika. N 9. St.-Petersburg:
St.-Petersburg Univ. 1995. P. 117-135. (Russian)
-
Nazarov S.A. On the flow of water under a still stone //
Mat. sbornik. 1995. V. 186, N 11. P. 75-110. (English transl.:
Math. Sbornik. 1995. V. 186, N 11. P. 1621-1658).
- Campbell A., Nazarov S.A. Comportement d'une plaque \'elastique
dont une pertite r\'egion est rigid et anim©e d'un mouvement
vibratoire. \'Etude asymptotique de la matrice d'impedance // Ann.
Fac. Sci. Toulouse Math. S\'er. 6. 1995. T. 4, N 2. P. 211-242.
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Nazarov S.A. Signorini's problem with friction for thin elastic bodies
// Trudy Moskov. mat. Obshch. 1995. V. 56. P. 262-302.
(English transl.:
Trans. Moscow Math. Soc. 1995. V. 56. P. 203-233).
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Nazarov S.A. Inequalities of the type of Korn's inequalities for elastic
multistructures // Uspehi mat. nauk. 1995. V. 50, N 6. P. 197-198.
(English transl.:
Russ. Math. Survey. 1995. V. 50, N 6. P. 1288-1289).
-
Nazarov S.A., Slutskii A.S. Asymptotic behavior of solutions to
problems of elasticity theory at infinity in flat parabolic domains
// Probl. Mat. Anal. N 15. St.-Petersburg: St.-Petersburg Univ.
1995. P. 162-200. (English transl.:
J. Math. Sci. 1996. V. 80, N 6. P. 2292-2318).
- Nazarov S.A. Asymptotics at infinity of the solution to the
Dirichlet problem for a system of equations with periodic coefficients
in an angular domain // Russian J. Math. Phys. 1995. V. 3, N 3.
P. 297-326.
-
Nazarov S.A. Junctions of singularly degenerating domains with
different limit dimensions. 1 // Trudy seminar. Petrovskii. N 18.
Moscow: Moscow Univ. 1995. P. 3-78. (English transl.:
J. Math. Sci. 1996. V. 80, N 5. P. 1989-2034).
- Nazarov S.A. On the accuracy of asymptotic approximations for
logitudinal deformation of a thin plate // RAIRO Model. Math. Anal.
Numr. 1996. V. 30, N 2. P. 185-213.
-
Argatov I.I., Nazarov S.A. 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. 1996. V. 60, N 1.
P. 3-36. (English transl.:
Math. Izvestiya. 1996. V. 60, N 1. P. 1-37).
- Nazarov S.A., Novotny A., Pileckas K. On steady compressible
Navie-Stokes equations in plane domains with corners // Math. Ann.
1996. V. 304, N 1. P. 121-150.
- Nazarov S.A. With the help of invariant integrals one can
calculate all factors at junior singularities of the stress field
// Vestnik St.-Petersburg Univ. 1996. N 22. P. 95-99. (Russian)
- Nazarov S.A., Pileckas K.I. Fredholmness of the operator of
the Neumann problem in a domain with a layer-like outlet to
infinity // Algebra Analiz. 1996. V. 8, N 6. P. 76-118. (Russian)
- Nazarov S.A. Asymptotics of the solution to the Neumann problem
in a domain with singular point of peak exterior type // Russian J.
Math. Phys. 1996. V. 4, N 2. P.217-250.
- Nazarov S.A. On the two-dimensional aperture problem for
Navier-Stokes equations // C. R. Acad. Sci. Paris. S\'er. 1. 1996.
T. 323, N 6. P. 699-703.
- Nazarov S.A., Specovius-Neugebauer M. Approximation of exterior
problems. Optimal conditions for the Laplacian // Analysis. 1996.
V. 16, N 4. P. 305-324.
-
Argatov I.I., Nazarov S.A. The pressure of a narrow ring-shaped punch
on an elastic half-space // Prikl. Mat. Mekh. 1996. V. 60, N 5.
P. 810-825. (English transl.:
J. Appl. Math. Mech. 1996. V. 60, N 5. P. 799-812).
-
Argatov I.I., Nazarov S.A. Asymptotic solution of the Signorini
problem with an obstacle on a thin elongated set // Mat. sbornik.
1996. V. 187, N 10. P. 3-32. (English transl.:
Math. Sbornik. 1996. V. 187, N 10. P. 1411-1442).
-
Nazarov S.A., Polyakova O.R. Rupture criteria, asymptotic conditions
at crack tips, and selfadjoint extensions of the Lam© operator //
Trudy Moskov. Mat. Obshch. 1996. V. 57. P. 16-75. (English transl.:
Trans. Moscow Math. Soc. 1996. V. 57. P. 13-66).
-
Nazarov S.A., Specovius-Neugebauer M. Approximation of unbounded
domains by bounded domains. Boundary-value problems for the Lam\'e
operator // Algebra Analiz. 1996. V. 8, N 5. P. 229-268.
(English transl.:
St. Petersburg Math. J. 1997. V. 8, N 5. P. 879-912).
- Nazarov S.A. Korn's inequalities for junctions of spatial bodies
and thin rods // Math. Methods Appl. Sci. 1997. V. 20, N 3.
P. 219-243.
- Movchan N.V., Nazarov S.A. Stress-strain state near vertices
of obtuse and acute cones // Prikl. mekhanika. N 10. St.-Petersburg:
St.-Petersburg Univ. 1997. P. 74-88. (Russian)
-
Nazarov S.A. 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. 1997. V. 352, N 2. P. 172-175. (English
transl.:
Russ. Acad. Sci. Dokl., Math. 1997. V. 55, N 1. P. 46-49).
-
Nazarov S.A. Asymptotics of solutions to the elasticity-theoretic
problem for a three-dimensional body with thin branches //
Dokl. Ross. Akad. Nauk. 1997. V. 352, N 4. P. 458-461.
(English transl.:
Russ. Acad. Sci Dokl., Math. 1997. V. 55, N 1. P. 87-90).
- Nazarov S.A., Specovius-Neugebauer M. Selfadjoint extensions of
the Neumann Laplacian in domains with cylindrical outlets // Comm. in
Math. Physics. 1997. V. 185, N 3. P.689-707.
- Nazarov S.A. Self-adjoint boundary value problems. The
polynomial property and formal positive operators // Probl. Mat.
Anal. N 16. St.-Petersburg: St.-Petersburg Univ. 1997. P. 167-192.
(Russian)
- Campbell A., Nazarov S.A. 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. 1997. V. 76, N 9. P. 15-54.
- Nazarov S.A., Specovius-Neugebauer M. Approximation of exterior
boundary value problems for the Stokes system // Asymptotic Analysis.
1997. V. 14, N 3. P. 223-255.
- Kolton L.G., Nazarov S.A. Variation of the shape of the front
of plane mode-one crack which is not in equilibrium locally //
Mekhanika tverd. tela. 1997. N 3. P. 125-133. (Russian)
-
Melnik T.A., Nazarov S.A. The asymptotics of the solution to the
Neumann spectral problem in a domain of the "dense-comb" type //
Trudy seminar. Petrovskii. N 19. Moscow: Moscow Univ. 1997.
P. 138-173. (English transl.:
J. Math. Sci. 1997. V. 85, N 6. P. 2326-2346).
- Nazarov S.A. Fredholm property of the operator of the boundary
value problem with the conditions on the boundary edge of the
Chaplygin-Joukovskii-Kutta type // Funkt. Anal. i Prilozhen. 1997.
V. 31, N 3. P. 44-56. (Russian)
- Nazarov S.A. Justification of the asymptotic theory of thin
rods. Integral and pointwise estimates // Probl. Mat. Anal.
N 17. St.-Petersburg: St.-Petersburg Univ. 1997. P. 101-152.
(Russian)
- Nazarov S.A. Invariant integrals in the Leonov-Panasyuk-
Dugdale model of cracks // Prikl. mekh. tekhn. fiz. 1997. V. 38,
N 5. P. 147-155. (Russian)
- Nazarov S.A. Nonselfadjoint elliptic problems with the
polynomial property in domains having cylindric outlets to
infinity // Zap. Nauchn. Sem. St.-Petersburg Otdel. Mat. Inst.
Steklov. 1997. T. 249. P. 212-231. (Russian)
- Nazarov S.A., Olyushin M.V.
Approximation of smooth contours by polygonal ones. Paradoxes in
problems for the Lam\'e system // Izv. Ross. Akad. Nauk. Ser. Mat.
1997. V. 61, N 3. P. 159-186. (English transl.:
Math. Izvestiya. 1997. V. 61, N 3. P. 619-646).
- Nazarov S.A. Korn's weighted inequalities on paraboloidal
domains // Mat. Zametki. 1997. V. 62, N 5. P. 751-765. (Russian)
- Blanc F., Nazarov S.A. Asymptotics of solutions to the Poisson
problem in a perforated domain with corners // J. Math. Pures. Appl.
1997. V. 76, N 10. P. 893-911.
- Bach M., Nazarov S.A., Wendland W.L. Propagation of a penny
shaped crack under the Irwin criterion // Analysis, numerics and
applications of differential and integral equations.
Pitman Research Notes in Math. Series, 379. Harlow, Essex: Longman.
1998. P. 17-21.
- Nazarov S.A. Singularities at angular points of a trailing edge
under the Joukowskii-Kutta conditions // Analysis, numerics and
applications of differential and integral equations.
Pitman Research Notes in Math. Series, 379. Harlow, Essex: Longman,
1998. P. 153-157.
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