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Research Article | Open Access

Dynamics of stochastic 3D Brinkman-Forchheimer equations on unbounded domains

Shu Wang, Mengmeng Si( ), Rong Yang
Faculty of Sciences, Beijing University of Technology, PingLeYuan 100, Chaoyang District, Beijing 100124, China
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Abstract

This paper is concerned with the asymptotic behavior of the stochastic three dimensional Brinkman-Forchheimer equations in some unbounded domains. We first define a continuous random dynamical system for the equations. Then by J. Ball's idea of energy equations, we obtain pullback asymptotic compactness of solutions and prove that the existence of a unique random attractor for the equations.

Keywords

stochastic Brinkman-Forchheimer equationunbounded domainsrandom attractors

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Electronic Research Archive
Volume 31 Issue 2,
February 2023
Pages 904-927
DOI: 10.3934/era.2023045

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Cite this article:
Wang S, Si M, Yang R. Dynamics of stochastic 3D Brinkman-Forchheimer equations on unbounded domains. Electronic Research Archive, 2023, 31(2): 904-927. https://doi.org/10.3934/era.2023045

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Received: 06 October 2022
Revised: 23 November 2022
Accepted: 24 November 2022
Published: 15 February 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)