Year: 2023
Author: Hong Lu, Mingji Zhang
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 2 : pp. 288–310
Abstract
This work is concerned with the asymptotic behaviors of solutions to a class of non-autonomous stochastic Ginzburg-Landau equations driven by colored noise and deterministic non-autonomous terms defined on thin domains. The existence and uniqueness of tempered pullback random attractors are proved for the stochastic Ginzburg-Landau systems defined on $(n + 1)$-dimensional narrow domain. Furthermore, the upper semicontinuity of these attractors is established, when a family of $(n + 1)$-dimensional thin domains collapse onto an $n$-dimensional domain.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2023.288
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 2 : pp. 288–310
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Stochastic Ginzburg-Landau equation colored noise thin domain random attractor upper semicontinuity.