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| Dynamics of Stochastic Ginzburg-Landau Equations Driven by Colored Noise on Thin Domains |
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| KeyWord:Stochastic Ginzburg-Landau equation, colored noise, thin domain, random attractor, upper semicontinuity |
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| 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 collapses onto an $n$-dimensional domain. |
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