Large deviation principles for the stochastic quasi-geostrophic equation

TL;DR

This paper establishes large deviation principles for the stochastic quasi-geostrophic equation with small noise, using stochastic control methods, and also explores small time asymptotics.

Contribution

It provides the first large deviation results for the stochastic quasi-geostrophic equation in the subcritical case with multiplicative noise.

Findings

Large deviation principle proven for the stochastic quasi-geostrophic equation

Results obtained for small time asymptotics

Methodology based on stochastic control and weak convergence

Abstract

In this paper we establish the large deviation principle for the stochastic quasi-geostrophic equation in the subcritical case with small multiplicative noise. The proof is mainly based on the stochastic control and weak convergence approach. Some analogous results are also obtained for the small time asymptotics of the stochastic quasi-geostrophic equation.