LDP and the zero viscosity limit for the stochastic 2D NSE

Annie Millet (1) , Hakima Bessaih (2)

1 SAMM - Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne)
2 Department of Mathematics, University of Wyoming

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.

Domaines: Probabilités [math.PR]

Annie Millet, Hakima Bessaih. LDP and the zero viscosity limit for the stochastic 2D NSE . AMFM-2014 Advance in Mathematical Fluid Mechanics stochastic & deterministic methods, Jun 2014, Lisbonne, Portugal. ⟨hal-01247416⟩