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Limiting dynamics for non-autonomous stochastic retarded reaction-diffusion equations on thin domains.
- Source :
- Discrete & Continuous Dynamical Systems: Series A; Jul2019, Vol. 39 Issue 7, p3717-3747, 31p
- Publication Year :
- 2019
-
Abstract
- A system of stochastic retarded reaction-diffusion equations with multiplicative noise and deterministic non-autonomous forcing on thin domains is considered. Relations between the asymptotic behavior for the stochastic retarded equations defined on thin domains in R<superscript>n+1</superscript> and an equation on a domain in R<superscript>n</superscript> are investigated. We first show the existence and uniqueness of tempered random attractors for these equations. Then, we analyze convergence properties of the solutions as well as the attractors. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10780947
- Volume :
- 39
- Issue :
- 7
- Database :
- Complementary Index
- Journal :
- Discrete & Continuous Dynamical Systems: Series A
- Publication Type :
- Academic Journal
- Accession number :
- 135917405
- Full Text :
- https://doi.org/10.3934/dcds.2019151