On finite-dimensional projections of distributions for solutions of randomly forced 2D Navier???Stokes equations, Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol.43, issue.4, pp.399-415, 2007. ,
DOI : 10.1016/j.anihpb.2006.06.001
Proof of a theorem of A. N. Kolmogorov on the preservation of conditionally periodic motions under a small perturbation of the Hamiltonian, Nauk, vol.18, issue.5113, pp.13-40, 1963. ,
Controllability of 2D Euler and Navier-Stokes Equations by Degenerate Forcing, Communications in Mathematical Physics, vol.37, issue.3, pp.673-697, 2006. ,
DOI : 10.1007/978-1-4684-7398-8
On Gaussian conditional measures depending on a parameter, Theory Stoch, Processes, vol.22, issue.38 2, 2017. ,
Averaging in multifrequency systems, Funct. Anal. Appl, vol.20, issue.2, pp.83-88, 1986. ,
Exponential mixing of the 2D stochastic Navier?Stokes dynamics, Communications in Mathematical Physics, vol.230, issue.1, pp.87-132, 2002. ,
DOI : 10.1007/s00220-002-0708-1
Sur l'´ equation de Kolmogoroff, no. Special Issue, pp.1059-1128, 2000. ,
Real Analysis and Probability, 2002. ,
Ergodicity for the Navier?Stokes equation with degenerate random forcing: Finite-dimensional approximation, Comm. Pure Appl. Math, vol.54, pp.1386-1402, 2001. ,
Gibbsian dynamics and ergodicity for the stochastically forced Navier?Stokes equation, Comm. Math. Phys, vol.224, issue.1, pp.83-106, 2001. ,
Geometric Measure Theory, 1969. ,
Ergodic and mixing properties of the Boussinesq equations with a degenerate random forcing, Journal of Functional Analysis, vol.269, issue.8, pp.2427-2504, 2015. ,
DOI : 10.1016/j.jfa.2015.05.014
Ergodicity of the 2-D Navier-Stokes equation under random perturbations, Communications in Mathematical Physics, vol.42, issue.1, pp.119-141, 1995. ,
DOI : 10.1007/978-1-4684-0313-8
Ergodicity of the 2D Navier???Stokes equations with degenerate stochastic forcing, Annals of Mathematics, vol.164, issue.3, pp.993-1032, 2006. ,
DOI : 10.4007/annals.2006.164.993
Stochastic CGL equations without linear dispersion in any space dimension, Stochastic Partial Differential Equations: Analysis and Computations, vol.6, issue.4, pp.389-423, 2013. ,
DOI : 10.1007/978-94-009-1423-0
URL : https://hal.archives-ouvertes.fr/hal-00694470
On conservation of conditionally periodic motions for a small change in Hamilton's function, Dokl. Akad. Nauk SSSR (N.S.), pp.98-527, 1954. ,
Brownian Motion and Stochastic Calculus, 1991. ,
Stochastic Dissipative PDE's and Gibbs Measures, Communications in Mathematical Physics, vol.213, issue.2, pp.291-330, 2000. ,
DOI : 10.1007/s002200000237
URL : http://www.ma.hw.ac.uk/~kuksin/art.ps
Diffeomorphisms of function spaces that correspond to quasilinear parabolic equations, Mat. Sb. (N.S.), vol.117, issue.159 3, pp.359-378, 1982. ,
Measurable dependence of conditional measures on a parameter, Doklady Mathematics, vol.8, issue.1, pp.13-17, 2016. ,
DOI : 10.1137/1131070
A rapidly convergent iteration method and non-linear partial differential equations. I, II, Ann. Scuola Norm, Sup. Pisa, vol.20, issue.3, pp.265-315, 1966. ,
Malliavin calculus for the stochastic 2D Navier???Stokes equation, Communications on Pure and Applied Mathematics, vol.976, issue.12, pp.1742-1790, 2006. ,
DOI : 10.1007/978-3-662-06400-9
The Malliavin Calculus and Related Topics, 2006. ,
Control and mixing for 2D Navier?Stokes equations with space-time localised noise, Ann. Sci. ´ Ec. Norm. Supér, vol.48, issue.4 2, pp.253-280, 2015. ,
Introduction to Random Signals and Noise, 2006. ,
Topics in Optimal Transportation, 2003. ,
Mathematical Control Theory, Modern Birkhäuser Classics, 2008. ,