The paper addresses a kind of non-autonomous nonlocal parabolic equations when the external force contains hereditary characteristics involving bounded and unbounded delays. First, well-posedness problem is analyzed by Galerkin method energy estimations in phase space C ? ( X ) . Moreover, some results related to strong solutions are proved under suitable assumptions. existence stationary then ...

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 se...

In this paper, we investigate the approximations of stochastic \begin{document}$ p $\end{document}-Laplacian equation with additive white noise by a family piecewise deterministic partial differential equations driven stationary process. We firstly obtain tempered pullback attractors for random id="M4">\b...