Sergei Borisovich Kuksin

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Sergei Kuksin, Oberwolfach 2008

Sergei Borissowitsch Kuksin ( Russian Сергей Борисович Куксин ; * 1955 ) is a Russian mathematician who deals with partial differential equations (PDE).

Kuksin received his doctorate in 1981 under Mark Vishik at Lomonosov University . He was at the Steklow Institute in Moscow, at Heriot-Watt University and is Research Director at the Institut Mathématiques de Jussieu at the University of Paris VII .

He dealt with (and developed) a KAM theory for partial differential equations (infinitely dimensional Hamiltonian systems), dealt with partial differential equations with random disturbances, turbulence and statistical hydrodynamics and elliptical PDE for maps between compact manifolds.

In 1992 he was invited speaker at the European Congress of Mathematicians in Paris (KAM theory for partial differential equations). In 1998 he was invited speaker at the International Congress of Mathematicians in Berlin (Elements of a qualitative theory of Hamiltonian PDEs). In 2016 he received the Lyapunov Prize from the Russian Academy of Sciences .

Fonts (selection)

  • Nearly Integrable Infinite-Dimensional Hamiltonian Systems, Lecture Notes in Mathematics 1556, Springer 1993
  • with Jürgen Pöschel : Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation, Annals of Mathematics, Volume 143, 1996, pp. 149–179
  • Analysis of hamiltonian PDEs, Clarendon Press, Oxford 2000
  • Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum, Functional Analysis and Its Applications, Volume 21, 1987, pp. 192-205
  • with Håkan Eliasson : KAM for the nonlinear Schrödinger equation, Annals of Mathematics, Volume 188, 2010, pp. 371-435
  • with Armen Shirikyan: Stochastic dissipative PDE's and Gibbs measures, Communications in Mathematical Physics, Volume 213, 2000, pp. 291-330
  • with A. Shirikyan: A Coupling Approach to Randomly Forced Nonlinear PDE's. I, Communications in Mathematical Physics, Volume 221, 2001, pp. 351-366
  • with A. Shirikyan: Ergodicity for the randomly forced 2D Navier-Stokes equations, Mathematical Physics, Analysis and Geometry, Volume 4, 2001, pp. 147-195
  • with A. Shirkyan: Mathematics of two-dimensional turbulence, Cambridge University Press 2012
  • A KAM-theorem for equations of the Korteweg-de Vries type, Harwood Academic Publ. 1998

Web links

Individual evidence

  1. ↑ Sergei Borissowitsch Kuksin in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Kuksin, Sergei Borissowitsch
ALTERNATIVE NAMES Куксин, Сергей Борисович (Russian)
BRIEF DESCRIPTION Russian mathematician
DATE OF BIRTH 1955