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

TL;DR

This paper investigates the asymptotic behavior of 2-D stochastic Navier-Stokes equations with Levy noise, establishing a central limit theorem and moderate deviations to quantify the convergence rate to deterministic solutions.

Contribution

It introduces new theoretical results on the small noise asymptotics for 2-D stochastic Navier-Stokes equations with jumps, including CLT and moderate deviations.

Findings

Central limit theorem established for the equations

Moderate deviation principles derived

Quantitative description of convergence rate to deterministic solutions

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.