LIMITING DYNAMICS OF NON-AUTONOMOUS STOCHASTIC GINZBURG-LANDAU EQUATIONS ON THIN DOMAINS

Hong Lu; Linlin Wang; Lijun Zhang; Mingji Zhang

doi:10.11948/20200378

2021 Volume 11 Issue 5

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Hong Lu, Linlin Wang, Lijun Zhang, Mingji Zhang. LIMITING DYNAMICS OF NON-AUTONOMOUS STOCHASTIC GINZBURG-LANDAU EQUATIONS ON THIN DOMAINS[J]. Journal of Applied Analysis & Computation, 2021, 11(5): 2313-2333. doi: 10.11948/20200378

Citation:

Hong Lu, Linlin Wang, Lijun Zhang, Mingji Zhang. LIMITING DYNAMICS OF NON-AUTONOMOUS STOCHASTIC GINZBURG-LANDAU EQUATIONS ON THIN DOMAINS[J]. Journal of Applied Analysis & Computation, 2021, 11(5): 2313-2333. doi: 10.11948/20200378

LIMITING DYNAMICS OF NON-AUTONOMOUS STOCHASTIC GINZBURG-LANDAU EQUATIONS ON THIN DOMAINS

1.
School of Mathematics and Statistics, Shandong University, 264209 Weihai, China
2.
College of Mathematics and Systems Science, Shandong University of Science and Technology, 266510 Qingdao, China
3.
Department of Mathematics, New Mexico Institution of Mining and Technology, Socorro, NM 87801, USA

Corresponding author: Email: mingji.zhang@nmt.edu (M. Zhang)

Abstract

Abstract

We examine the limiting dynamics of a class of non-autonomous stochastic Ginzburg-Landau equations driven by multiplicative noise and deterministic non-autonomous terms defined on thin domains. The existence and uniqueness of tempered pullback random attractors are established for the stochastic Ginzburg-Landau systems defined on $ (n+1) $-dimensional narrow domain. In addition, the upper semicontinuity of these attractors is obtained when a family of $ (n+1) $-dimensional thin domains collapses onto an $ n $-dimensional domain.
- Stochastic Ginzburg-Landau equation /
- thin domain /
- random attractor /
- upper semicontinuity
MSC: 35B40, 35B41, 37L30

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References

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