Sergei B. Kuksin

Sergei Borisovich Kuksin is a French and Russian mathematician, specializing in partial differential equations.
Kuksin received his doctorate under the supervision of Mark Vishik at Moscow State University in 1981. He was at the Steklov Institute in Moscow and at the Heriot-Watt University and is a directeur de recherché at the Institut Mathématiques de Jussieu of the Paris Diderot University.
His research deals with KAM theory in partial differential equations ; partial differential equations involved with random perturbations, turbulence and statistical hydrodynamics; and elliptic PDEs for functions between compact manifolds.
In 1992 he was an invited speaker with talk KAM theory for partial differential equations at the European Congress of European Mathematicians in Paris. In 1998 he was an invited speaker at International Congress of Mathematicians in Berlin. In 2016 he received the Lyapunov Prize from the Russian Academy of Sciences.

Selected publications

Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum, Functional Analysis and Applications, Vol. 21, 1987, pp. 192–205
with Jürgen Pöschel: Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation, Annals of Mathematics, Vol. 143, 1996, pp. 149–179
, Rev. Math. Phys., Vol. 10, 1998, pp. 1–64
with Armen Shirikyan: Stochastic Dissipative PDE's and Gibbs measures, Communications in Mathematical Physics, Vol. 213, 2000, pp. 291–330
with A. Shirikyan: A Coupling Approach to Randomly Forced Nonlinear PDEs. I, Communications in Mathematical Physics, Vol. 221, 2001, pp. 351–366
with A. Shirikyan: Ergodicity for the randomly forced 2D Navier-Stokes equations, Mathematical Physics, Analysis and Geometry, Vol. 4, 2001, pp. 147–195
with Håkan Eliasson: KAM for the nonlinear Schrödinger equation, Annals of Mathematics, Vol. 188, 2010, pp. 371–435