Asymptotic Behavior of the Kirchhoff Type Stochastic Plate Equation on Unbounded Domains

Asymptotic Behavior of the Kirchhoff Type Stochastic Plate Equation on Unbounded Domains

In this paper, we study the asymptotic behavior of solutions to the Kirchhoff type stochastic plate equation driven by additive noise defined on unbounded domains. We first prove the uniform estimates of solutions and then establish the existence and upper semicontinuity of random attractors.

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Veröffentlicht in:Complexity (New York, N.Y.) N.Y.), 2022-01, Vol.2022 (1)
Hauptverfasser: Yao, Xiaobin, Zhang, Zhang
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Domains
Dynamical systems
Estimates
Inequality
Random variables
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Zusammenfassung:In this paper, we study the asymptotic behavior of solutions to the Kirchhoff type stochastic plate equation driven by additive noise defined on unbounded domains. We first prove the uniform estimates of solutions and then establish the existence and upper semicontinuity of random attractors.
ISSN:1076-2787
1099-0526
DOI:10.1155/2022/1053042