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Accueil du site > Séminaires > Probabilités Statistiques et réseaux de neurones > Random attractors for stochastic Navier-Stokes equations in some unbounded domains.

Vendredi 27 mars 2009 à 11h00

Random attractors for stochastic Navier-Stokes equations in some unbounded domains.

Zdzislaw Brzezniak (University of York, UK)

Résumé : We investigate models of stochastic Navier-Stokes equations in unbounded domains. In a recent joint paper with Y.Li we showed that the Random Dynamical System generated by them is asymptotically compact and that the \Omega-limit set attracts bounded deterministic sets. Very recently we showed the existence of a global minimal random attractor. I will, if time allows, discuss the possibility of extending these results to the case of NSEs with multiplicative noise, a model first introduced in a joint work with M. Capinski and F. Flandoli, and then studied recently by M. Capinski and N.J. Cutland, as well as by R. Mikulevicius and B.L. Rozovskii.

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