# American Institute of Mathematical Sciences

February  2019, 24(2): 449-465. doi: 10.3934/dcdsb.2018181

## Asymptotic behavior of stochastic complex Ginzburg-Landau equations with deterministic non-autonomous forcing on thin domains

 1 School of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan 610031, China 2 Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China

* Corresponding author: Xiaohu Wang, wangxiaohu@scu.edu.cn

Received  November 2017 Revised  January 2018 Published  June 2018

Fund Project: This work was supported by NSFC (11271270, 11601446 and 11331007) and Excellent Youth Scholars of Sichuan University (2016SCU04A15)

In this paper, we investigate the asymptotic behavior for non-autonomous stochastic complex Ginzburg-Landau equations with multiplicative noise on thin domains. For this aim, we first show that the existence and uniqueness of random attractors for the considered equations and the limit equations. Then, we establish the upper semicontinuity of these attractors when the thin domains collapse onto an interval.

Citation: Dingshi Li, Xiaohu Wang. Asymptotic behavior of stochastic complex Ginzburg-Landau equations with deterministic non-autonomous forcing on thin domains. Discrete & Continuous Dynamical Systems - B, 2019, 24 (2) : 449-465. doi: 10.3934/dcdsb.2018181
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