|
Born: |
22 December 1945, Leningrad, USSR. |
|
M Sc: |
The Leningrad State University, 1969. |
|
Ph D: |
The Voronezh State University, 1983. |
|
D Sc: |
The Petersburg Division of the Steklov Mathematical Institute (PDMI), Russian Academy of Sciences, 1992. |
Head of Laboratory
for Mathematical Modelling of Wave Phenomena,
Institute
for Problems in Mechanical Engineering, Russian Academy of
Sciences
the St. Petersburg Mathematical Society (1988),
the American Mathematical Society (1996).
In 1992–2008 gave more than 40 symposium talks and invited lectures in the USA, UK, France, Norway, Sweden, the Netherlands, Russia and other countries.
Linkoeping University (Sweden) 1992, 1993, 1998, 1999, 2000, 2002–2003, 2004, 2006, 2007, 2008
Loughborough University (UK) 1995, 1996, 1999, 2000, 2002, 2004.
Author of 88 scientific publications including 3 monographs and textbooks (selected publications see below).
nonlinear steady water waves,
wave–body interaction,
waves in channels and waveguides,
ship waves and wave resistance,
Fundamental bounds for properties of steady water waves;
Theory of the 2D Neumann–Kelvin problem for a surface-piercing body;
Theory of trapped modes in channels occupied by a two-layer fluid;
Uniqueness theorems for the water-wave problem.
LINEAR WATER WAVES: A Mathematical Approach. Cambridge University Press, 2002, xviii + 514 pp. (with V. Maz'ya and B. Vainberg).
Uniqueness in the problem of an obstacle in oblique waves, C. R. Mecanique, Vol. 331 (2003) 183–188.
Wave interaction with two-dimensional bodies floating in a two-layer fluid: uniqueness and trapped modes. J. Fluid Mech., Vol. 490 (2003) 321–331 (with M. McIver and P. McIver).
Uniqueness in the water-wave problem for bodies intersecting the free surface at arbitrary angles, C. R. Mecanique, Vol. 332 (2004) 73–78.
The ice-fishing problem: the fundamental sloshing frequency versus geometry of holes, Math. Meth. Appl. Sci., Vol. 27 (2004) 289–312 (with V. Kozlov).
On nodal domains of sloshing eigenfunctions, Proc. Roy. Soc. Lond. A, Vol. 460 (2004) 2587–2603 (with V. Kozlov and O. Motygin).
The two-dimensional problem of steady waves on water of finite depth: regimes without waves of small amplitude, C. R. Mecanique, Vol. 333 (2005) 733–738 (with V. Kozlov).
The Steklov problem in a half-plane: the dependence of eigenvalues on a piecewise constant coefficient, J. Math. Sciences, Vol. 127 (2005) 2429–2445 (with O. Motygin).
Asymptotic analysis of rapid forward accelerations of a free-surface pressure, J. Eng. Math., Vol. 55 (2006) 167–181.
Conformal mappings in the problem of water waves/floating body interaction, J. Math. Sciences, Vol. 142 (2007) 2589–2596.
LOCALISATION OF LINEAR WAVES. St. Petersburg University Press, 2007, 332 pp. (with D. A. Indeytsev, O. V. Motygin, and Yu. A. Mochalova).
Nodal lines and uniqueness of solutions to linear water-wave problems, Proc. of the St. Petersburg Math. Soc., Vol. 13 (2007) 73–91 (in Russian).
Also, Translations of the AMS, Vol. 222 (2008) 61–74.
Combinatorial identity obtained by the differentiation of convolution, J. Math. Sciences, Vol. 150 (2008) 1856–1859.
On uniqueness of a solution to the plane problem on interaction of surface waves with obstacle, J. Math. Sciences, Vol 150 (2008) 1860–1868.
Qualitative theory of nonlinear steady water waves, Bull. (Vestnik) of the St. Petersburg Univ., Ser. 1 (2008), no. 2, 33–46 (with V. Kozlov; in Russian).
On behaviour of free-surface profiles for bounded steady water waves, J. Math. Pures Appl., Vol. 90 (2008) 1–14 (with V. Kozlov).
Bounds for steady gravity waves on water of finite depth, J. Math. Fluid Mech., Vol. 10 (2008) (with V. Kozlov).
Email: ngk@wave.ipme.ru
Updated: 26/07/08.