Les EDPs hamiltoniennes perturbées et dissipées
Séminaire Laurent Schwartz — EDP et applications (2011-2012), Talk no. 32, 8 p.
DOI: 10.5802/slsedp.25
Kuksin, Sergei B. 1

1 CMLS Ecole Polytechnique 91128 Palaiseau Cedex France
@article{SLSEDP_2011-2012____A32_0,
     author = {Kuksin, Sergei B.},
     title = {Les {EDPs} hamiltoniennes perturb\'ees et dissip\'ees},
     journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications},
     note = {talk:32},
     publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
     year = {2011-2012},
     doi = {10.5802/slsedp.25},
     language = {fr},
     url = {http://archive.numdam.org/articles/10.5802/slsedp.25/}
}
TY  - JOUR
AU  - Kuksin, Sergei B.
TI  - Les EDPs hamiltoniennes perturbées et dissipées
JO  - Séminaire Laurent Schwartz — EDP et applications
N1  - talk:32
PY  - 2011-2012
DA  - 2011-2012///
PB  - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique
UR  - http://archive.numdam.org/articles/10.5802/slsedp.25/
UR  - https://doi.org/10.5802/slsedp.25
DO  - 10.5802/slsedp.25
LA  - fr
ID  - SLSEDP_2011-2012____A32_0
ER  - 
%0 Journal Article
%A Kuksin, Sergei B.
%T Les EDPs hamiltoniennes perturbées et dissipées
%J Séminaire Laurent Schwartz — EDP et applications
%Z talk:32
%D 2011-2012
%I Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique
%U https://doi.org/10.5802/slsedp.25
%R 10.5802/slsedp.25
%G fr
%F SLSEDP_2011-2012____A32_0
Kuksin, Sergei B. Les EDPs hamiltoniennes perturbées et dissipées. Séminaire Laurent Schwartz — EDP et applications (2011-2012), Talk no. 32, 8 p. doi : 10.5802/slsedp.25. http://archive.numdam.org/articles/10.5802/slsedp.25/

[Bor12] A. Boritchev, Sharp estimates for turbulence in white-forced generalised Burgers equation, Preprint, ArXiv (2012).

[DO05] A. Debussche and C. Odasso, Ergodicity for the weakly damped stochastic non-linear Shrödinger equations, J. Evolut. Eq. 5 (2005), 317–356. | MR | Zbl

[Gua12] Huan Guang, PhD Thesis, under preparation, Ecole Polytechnique (2012).

[Hai02] M. Hairer, Exponential mixing for a stochastic PDE driven by degenerate noise, Nonlinearity 15 (2002), 271–279. | MR | Zbl

[KP08] S. B. Kuksin and A. L. Piatnitski, Khasminskii - Whitham averaging for randomly perturbed KdV equation, J. Math. Pures Appl. 89 (2008), 400–428. | MR | Zbl

[KS00] S. B. Kuksin and A. Shirikyan, Stochastic dissipative PDEs and Gibbs measures, Comm. Math. Phys. 213 (2000), 291–330. | MR | Zbl

[KS04] —, Randomly forced CGL equation : stationary measures and the inviscid limit, J. Phys. A : Math. Gen. 37 (2004), 1–18. | MR | Zbl

[KS12] —, Mathematics of Two-Dimensional Turbulence, Cambridge University Press (to appear), Cambridge, 2012, www.math.polytechnique.fr/kuksin/books.html.

[Kuk10] S. B. Kuksin, Damped-driven KdV and effective equations for long-time behaviour of its solutions, GAFA 20 (2010), 1431–1463. | MR | Zbl

[Kuk12] —, Weakly nonlinear stochastic CGL equations, Ann. Inst. H. Poincaré, Prob. Stat., to appear (2012).

[Oda06] C. Odasso, Ergodicity for the stochastic complex Ginzburg-Landau equations, Ann. Inst. H. Poincaré - PR 42 (2006), 417–454. | Numdam | MR | Zbl

[Shi06] A. Shirikyan, Ergodicity for a class of Markov processes and applications to randomly forced PDE’s. II, DCDS-A 6 (2006), 911–926. | MR | Zbl

Cited by Sources: