Open AccessRandom attractors for non-autonomous stochastic Brinkman-Forchheimer equations on unbounded domains
Author(s) -
Shu Wang,
Mengmeng Si,
Rong Yang
Publication year - 2022
Publication title -
communications on pure and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.077
H-Index - 42
eISSN - 1553-5258
pISSN - 1534-0392
DOI - 10.3934/cpaa.2022034
Subject(s) - attractor , mathematics , ball (mathematics) , term (time) , mathematical analysis , physics , quantum mechanics
In this paper, we study the asymptotic behavior of the non-autono-mous stochastic 3D Brinkman-Forchheimer equations on unbounded domains. We first define a continuous non-autonomous cocycle for the stochastic equations, and then prove that the existence of tempered random attractors by Ball's idea of energy equations. Furthermore, we obtain that the tempered random attractors are periodic when the deterministic non-autonomous external term is periodic in time.