Regular random attractors for non-autonomous stochastic reaction-diffusion equations on thin domains

Abstract

<p style='text-indent:20px;'>This paper deals with the limiting dynamical behavior of non-autonomous stochastic reaction-diffusion equations on thin domains. Firstly, we prove the existence and uniqueness of the regular random attractor. Then we prove the upper semicontinuity of the regular random attractors for the equations on a family of <inline-formula><tex-math id="M1">$ (n+1) $</tex-math></inline-formula>-dimensional thin domains collapses onto an <inline-formula><tex-math id="M2">$ n $</tex-math></inline-formula>-dimensional domain.</p>