Stochastic 2D hydrodynamical type systems: Well posedness and large deviations

Abstract : We deal with a class of abstract nonlinear stochastic models, which covers many 2D hydrodynamical models including 2D Navier-Stokes equations, 2D MHD models and 2D magnetic Bénard problem and also some shell models of turbulence. We first prove the existence and uniqueness theorem for the class considered. Our main result is a Wentzell-Freidlin type large deviation principle for small multiplicative noise which we prove by weak convergence method.
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Applied Mathematics and Optimization, Springer Verlag (Germany), 2010, 61 (3), pp.379-420. <10.1007/s00245-009-9091-z>
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Contributeur : Annie Millet <>
Soumis le : lundi 28 septembre 2009 - 21:35:45
Dernière modification le : mercredi 12 octobre 2016 - 01:17:21
Document(s) archivé(s) le : jeudi 23 septembre 2010 - 17:43:19

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Igor Chueshov, Annie Millet. Stochastic 2D hydrodynamical type systems: Well posedness and large deviations. Applied Mathematics and Optimization, Springer Verlag (Germany), 2010, 61 (3), pp.379-420. <10.1007/s00245-009-9091-z>. <hal-00295023v3>

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