Large deviations for 2D Navier Stokes equations with small viscosity
Résumé
We prove a Large deviation principle for the solution to a 2D stochastic Navier Stokes equation subject with free boundary condition when the viscosity coefficient converges to 0. The rate function is described in terms of a deterministic Euler equation. Unlike several results on large deviations for hydrodynamical models, the proof does not depend on a time discretization of the solution. This is joint work with Hakima Bessaih.