Selected Publications-Research Center for Mathematics and Interdisciplinary Sciences

People

Professor

Institut Mathématiques de Jussieu of the Paris Diderot University (Paris VII)

BOOKS

Nearly Integrable Infinite-Dimensional Hamiltonian Systems, Lecture Notes in Mathematics 1556, Springer 1993
Analysis of Hamiltonian PDEs, Clarendon Press, Oxford 2000
with A. Shirkyan: Mathematics of two-dimensional turbulence, Cambridge University Press 2012

PUBLICATIONS

Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum, Functional Analysis and Applications, Vol. 21, 1987, pp. 192–205 doi:10.1007/BF02577134
with Jürgen Pöschel: Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation, Annals of Mathematics, Vol. 143, 1996, pp. 149–179 doi:10.2307/2118656
A KAM-theorem for equations of the Korteweg-de Vries type, 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 doi:10.1007/s002200000237
with A. Shirikyan: A Coupling Approach to Randomly Forced Nonlinear PDEs. I, Communications in Mathematical Physics, Vol. 221, 2001, pp. 351–366 doi:10.1007/s002200100479
with A. Shirikyan: Ergodicity for the randomly forced 2D Navier-Stokes equations, Mathematical Physics, Analysis and Geometry, Vol. 4, 2001, pp. 147–195 doi:10.1023/A:1011989910997
with Håkan Eliasson: KAM for the nonlinear Schrödinger equation, Annals of Mathematics, Vol. 188, 2010, pp. 371–435 JSTOR 20752272