On Stochastic Analysis of Hydrodynamical systems
Résumé
We will present some recent results about Large Deviations Principle and Stroock-Varadhan characterization of the support for the distribution of the solution to general hydrodynamical models, such as the 2D Navier Stokes equations coupled with some similar non-linear PDEs describing the evolution of physical quantities of a fluid subject to some random forcing. These results have been obtained in several paper jointly written with H. Bessaih, I. Chuehov and J. Duan.