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Université Paris 1, Centre Pierre Mendès France, 90 rue de Tolbiac, F-75634 Paris Cedex 13, France and Laboratoire de Probabilités et Modèles Aléatoires (UMR 7599)
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Millet: amillet@univ-paris1.fr and annie.millet@upmc.fr hal-00295023
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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 the 2D magnetic Bénard problem and also some shell models of turbulence. We state 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 a weak convergence method.
Applied Mathematics and Optimization – Springer Journals
Published: Jun 1, 2010
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