A moderate deviation principle for 2D stochastic primitive equations

TL;DR

This paper proves a moderate deviation principle for 2D stochastic primitive equations with multiplicative noise, extending understanding of their probabilistic behavior beyond the central limit theorem.

Contribution

It introduces a moderate deviation principle for 2D stochastic primitive equations using the weak convergence approach, which is a novel application in this context.

Findings

Established a moderate deviation principle for 2D stochastic primitive equations.

Extended the probabilistic analysis beyond the central limit theorem.

Utilized the weak convergence approach for the proof.

Abstract

In this paper, we establish a central limit theorem and a moderate deviations for 2D stochastic primitive equations with multiplicative noise. The proof is mainly based on the weak convergence approach.