Exponential ergodicity of Stochastic Evolution Equations with reflection

Zdzislaw Brzezniak; Qi Li; Tusheng Zhang

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arXiv · 2511.14066

Exponential ergodicity of Stochastic Evolution Equations with reflection

Zdzislaw Brzezniak·Qi Li·Tusheng Zhang

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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.

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Zdzislaw Brzezniak, Qi Li, Tusheng Zhang. 2025-11-18. Exponential ergodicity of Stochastic Evolution Equations with reflection. https://arxiv.org/abs/2511.14066

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