Article ID Journal Published Year Pages File Type
5774313 Journal of Differential Equations 2017 28 Pages PDF
Abstract
This paper deals with the limiting behavior of stochastic reaction-diffusion equations driven by multiplicative noise and deterministic non-autonomous terms defined on thin domains. We first prove the existence, uniqueness and periodicity of pullback tempered random attractors for the equations in an (n+1)-dimensional narrow domain, and then establish the upper semicontinuity of these attractors when a family of (n+1)-dimensional thin domains collapses onto an n-dimensional domain.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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