Existence and upper semicontinuity of random attractors for the 2D stochastic convective Brinkman–Forchheimer equations in bounded domains

In this work, we discuss the large time behaviour of solutions two-dimensional stochastic convective Brinkman–Forchheimer (SCBF) equations on bounded domains. Under functional setting V?H?V?, where H and V are appropriate separable Hilbert spaces fact that embedding V?H is compact, establish existence random attractors in for flow generated by 2D SCBF perturbed additive noise. We prove upper semicontinuity H, when coefficient term approaches zero. Moreover, obtain a more regular space V, using pullback flattening property. The ensures invariant compact set hence show an measure equations. Finally, also comment uniqueness measures.