Exponential mixing for stochastic model of two-dimensional second grade fluids

TL;DR

This paper proves that stochastic models of two-dimensional second grade fluids exhibit exponential mixing, using a criterion by Cyril Odasso, which enhances understanding of their long-term statistical behavior.

Contribution

It introduces a proof of exponential mixing for stochastic second grade fluid models, applying Odasso's criterion to this class of fluids.

Findings

Exponential mixing property established for the model

Application of Odasso's criterion to fluid dynamics

Enhanced understanding of long-term behavior of stochastic fluids

Abstract

In this paper, we establish the exponential mixing property of stochastic models for the incompressible second grade fluid. The general criterion established by Cyril Odasso plays an important role.