Asymptotic behavior for stochastic plate equations on unbounded domains

In this paper, we investigate the long-time behavior of the solutions for stochastic plate equations with memory and additive noise. First we establish a continuous cocycle for the equation and the pullback asymptotic compactness of solutions. Second we prove the existence of random attractors for t...

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Bibliographic Details
Published in:Bulletin des sciences mathématiques 2023-10, Vol.187, p.103315, Article 103315
Main Authors: Yao, Xiao Bin, Feng, Deng Juan
Format: Article
Language:English
Subjects:
Additive noise
Memory
Plate equations
Random attractors
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Summary:In this paper, we investigate the long-time behavior of the solutions for stochastic plate equations with memory and additive noise. First we establish a continuous cocycle for the equation and the pullback asymptotic compactness of solutions. Second we prove the existence of random attractors for the equation.
ISSN:0007-4497
1952-4773
DOI:10.1016/j.bulsci.2023.103315