A central limit theorem and moderate deviations for 2-D Stochastic Navier-Stokes equations with jumps

Abstract

We study the small noise asymptotics for two-dimensional Navier-Stokes equa- tions driven by Levy noise. Central limit theorem and moderate deviation are established under appropriate assumptions, which describes the exponen- tial rate of convergence of the stochastic solution to the deterministic solution.