LDP and the zero viscosity limit for the stochastic 2D NSE
Résumé
Using a weak convergence approach, we prove a Large Deviation Prin- ciple for the solution of 2D stochastic Navier Stokes equations when the viscosity converges to 0 and the noise intensity is multiplied by the square root of the viscosity. The weak convergence is proven by tightness prop- erties of the distribution of the solution in appropriate functional spaces.
This a joint work with Hakima Bessaih.