News & Announcements
Dynamics of Stochastic Ginzburg-Landau Equations Driven by Colored Noise on Thin Domains
View Full Text  View/Add Comment  Download reader
KeyWord:Stochastic Ginzburg-Landau equation, colored noise, thin domain, random attractor, upper semicontinuity
Author NameAffiliation
Hong Lu School of Mathematics and Statistics, Shandong University (Weihai), Weihai, Shandong 264209, China 
Mingji Zhang Department of Mathematics, New Mexico Institute of Mining and Technology, Socorro, New Mexico 87801, USA 
Hits: 24
Download times: 38
      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.