Large deviation principles for 3D stochastic primitive equations

TL;DR

This paper establishes the large deviation principle for three-dimensional stochastic primitive equations with small multiplicative noise, using the weak convergence approach to analyze the probabilities of rare events in this complex stochastic system.

Contribution

It introduces a novel application of the weak convergence method to derive large deviation principles for 3D stochastic primitive equations.

Findings

Large deviation principle proven for 3D stochastic primitive equations

Method based on weak convergence approach

Provides a framework for analyzing rare events in complex stochastic systems

Abstract

In this paper, we establish the large deviation principle for 3D stochastic primitive equations with small perturbation multiplicative noise. The proof is mainly based on the weak convergence approach.