J. Nonl. Mod. Anal., 5 (2023), pp. 288-310.
Published online: 2023-08
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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.
}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2023.288}, url = {http://global-sci.org/intro/article_detail/jnma/21926.html} }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.