Les EDPs hamiltoniennes perturbées et dissipées

Sergei B. Kuksin[1]

  • [1] CMLS Ecole Polytechnique 91128 Palaiseau Cedex France

Séminaire Laurent Schwartz — EDP et applications (2011-2012)

  • page 1-8
  • ISSN: 2266-0607

How to cite

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Kuksin, Sergei B.. "Les EDPs hamiltoniennes perturbées et dissipées." Séminaire Laurent Schwartz — EDP et applications (2011-2012): 1-8. <http://eudml.org/doc/251188>.

@article{Kuksin2011-2012,
affiliation = {CMLS Ecole Polytechnique 91128 Palaiseau Cedex France},
author = {Kuksin, Sergei B.},
journal = {Séminaire Laurent Schwartz — EDP et applications},
language = {fre},
pages = {1-8},
publisher = {Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Les EDPs hamiltoniennes perturbées et dissipées},
url = {http://eudml.org/doc/251188},
year = {2011-2012},
}

TY - JOUR
AU - Kuksin, Sergei B.
TI - Les EDPs hamiltoniennes perturbées et dissipées
JO - Séminaire Laurent Schwartz — EDP et applications
PY - 2011-2012
PB - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique
SP - 1
EP - 8
LA - fre
UR - http://eudml.org/doc/251188
ER -

References

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  1. A. Boritchev, Sharp estimates for turbulence in white-forced generalised Burgers equation, Preprint, ArXiv (2012). Zbl1283.35074
  2. A. Debussche and C. Odasso, Ergodicity for the weakly damped stochastic non-linear Shrödinger equations, J. Evolut. Eq. 5 (2005), 317–356. Zbl1091.60010MR2174876
  3. Huan Guang, PhD Thesis, under preparation, Ecole Polytechnique (2012). 
  4. M. Hairer, Exponential mixing for a stochastic PDE driven by degenerate noise, Nonlinearity 15 (2002), 271–279. Zbl0992.60067MR1888852
  5. S. B. Kuksin and A. L. Piatnitski, Khasminskii - Whitham averaging for randomly perturbed KdV equation, J. Math. Pures Appl. 89 (2008), 400–428. Zbl1148.35077MR2401144
  6. S. B. Kuksin and A. Shirikyan, Stochastic dissipative PDEs and Gibbs measures, Comm. Math. Phys. 213 (2000), 291–330. Zbl0974.60046MR1785459
  7. —, Randomly forced CGL equation : stationary measures and the inviscid limit, J. Phys. A : Math. Gen. 37 (2004), 1–18. Zbl1047.35061MR2039838
  8. —, Mathematics of Two-Dimensional Turbulence, Cambridge University Press (to appear), Cambridge, 2012, www.math.polytechnique.fr/ ∼ kuksin/books.html. Zbl1333.76003
  9. S. B. Kuksin, Damped-driven KdV and effective equations for long-time behaviour of its solutions, GAFA 20 (2010), 1431–1463. Zbl1231.35205MR2738999
  10. —, Weakly nonlinear stochastic CGL equations, Ann. Inst. H. Poincaré, Prob. Stat., to appear (2012). 
  11. C. Odasso, Ergodicity for the stochastic complex Ginzburg-Landau equations, Ann. Inst. H. Poincaré - PR 42 (2006), 417–454. Zbl1104.35078MR2242955
  12. A. Shirikyan, Ergodicity for a class of Markov processes and applications to randomly forced PDE’s. II, DCDS-A 6 (2006), 911–926. Zbl1132.60319MR2223915

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