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.

This paper has been withdrawn by the author due to a gap in the proof of central limit theorem. Jianliang Zhai and coauthors proved a general MDP result for 2-D Stochastic Navier Stokes equations with jumps in [Journal of Functional Analysis, vol. 272, 227-254, 2017]