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

TL;DR

This paper establishes a central limit theorem and a moderate deviation principle for stochastic models of two-dimensional second grade fluids, enhancing understanding of their probabilistic behavior.

Contribution

It introduces a moderate deviation principle for these models using the weak convergence method, which is a novel application in this context.

Findings

Proved a central limit theorem for the models.

Established a moderate deviation principle.

Demonstrated the effectiveness of the weak convergence method.

Abstract

In this paper, we prove a central limit theorem and estabilish a moderate deviation principle for stochastic models of incompressible second fluids. The weak convergence method inreoduced by [4] plays an important role.