Exponential ergodicity of Stochastic Evolution Equations with reflection

TL;DR

This paper proves exponential ergodicity for stochastic evolution equations with reflection in infinite dimensions, including applications to stochastic Navier-Stokes equations, using a coupling method.

Contribution

It introduces a novel approach to establish exponential ergodicity for reflected stochastic evolution equations in infinite-dimensional spaces.

Findings

Proved exponential ergodicity for stochastic evolution equations with reflection.

Established exponential ergodicity for stochastic Navier-Stokes equations with reflection.

Used coupling method as a key technique.

Abstract

In this paper, we establish an exponential ergodicity for stochastic evolution equations with reflection in an infinite dimensional ball. As an application, we obtain the exponential ergodicity of stochastic Navier-Stokes equations with reflection. A coupling method plays an important role.