Abstract
This work is concerned about the asymptotic behavior of the solutions of the two- and three-dimensional stochastic convective Brinkman–Forchheimer (SCBF) equations [Formula: see text] [Formula: see text] driven by white noise with nonlinear diffusion terms (for some [Formula: see text]). We prove the existence and uniqueness of weak pullback mean random attractors for the 2D SCBF equations (for [Formula: see text]) as well as 3D SCBF equations (for [Formula: see text], any [Formula: see text] and for [Formula: see text], [Formula: see text]) in Bochner spaces, when the diffusion terms are Lipschitz nonlinear functions. Furthermore, we establish the existence of weak pullback mean random attractors for a class of locally monotone stochastic partial differential equations.
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