Large deviations for stochastic models of two-dimensional second grade fluids

TL;DR

This paper proves a large deviation principle for stochastic models of incompressible second grade fluids using the weak convergence method, providing insights into the probability of rare events in such fluid systems.

Contribution

It introduces a large deviation framework for stochastic second grade fluid models, extending the application of weak convergence techniques to this class of fluids.

Findings

Established a large deviation principle for the models

Applied weak convergence method effectively

Enhanced understanding of rare event probabilities in fluid dynamics

Abstract

In this paper, we established a large deviation principle for stochastic models of incompressible second grade fluids. The weak convergence method introduced by \cite{Budhiraja-Dupuis} plays an important role.