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Volume 38, Issue 2
Dynamics for the Stochastic Plate Equations of Kirchhoff Type on $\mathbb{R}^n$

Xiaobin Yao & Chan Yue

DOI: 10.4208/jpde.v38.n2.5

J. Part. Diff. Eq., 38 (2025), pp. 185-207.

Published online: 2025-06

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  • Abstract

In this paper, we study mainly the long-time behavior of the stochastic plate equations of kirchhoff type with nonlinear damping on unbounded domains. Due to the lack of compactness of Sobolev embeddings on unbounded domains, pullback asymptotic compactness of cocycle associated with the system is proved by the tail-estimates method and splitting technique.

  • Keywords

Pullback attractors, kirchhoff type, plate equation, unbounded domains, the splitting technique.

  • AMS Subject Headings

35B40, 35B41, 35Q35

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-38-185, author = {Yao , Xiaobin and Yue , Chan}, title = {Dynamics for the Stochastic Plate Equations of Kirchhoff Type on $\mathbb{R}^n$}, journal = {Journal of Partial Differential Equations}, year = {2025}, volume = {38}, number = {2}, pages = {185--207}, abstract = {

In this paper, we study mainly the long-time behavior of the stochastic plate equations of kirchhoff type with nonlinear damping on unbounded domains. Due to the lack of compactness of Sobolev embeddings on unbounded domains, pullback asymptotic compactness of cocycle associated with the system is proved by the tail-estimates method and splitting technique.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v38.n2.5}, url = {http://global-sci.org/intro/article_detail/jpde/24216.html} }
TY - JOUR T1 - Dynamics for the Stochastic Plate Equations of Kirchhoff Type on $\mathbb{R}^n$ AU - Yao , Xiaobin AU - Yue , Chan JO - Journal of Partial Differential Equations VL - 2 SP - 185 EP - 207 PY - 2025 DA - 2025/06 SN - 38 DO - http://doi.org/10.4208/jpde.v38.n2.5 UR - https://global-sci.org/intro/article_detail/jpde/24216.html KW - Pullback attractors, kirchhoff type, plate equation, unbounded domains, the splitting technique. AB -

In this paper, we study mainly the long-time behavior of the stochastic plate equations of kirchhoff type with nonlinear damping on unbounded domains. Due to the lack of compactness of Sobolev embeddings on unbounded domains, pullback asymptotic compactness of cocycle associated with the system is proved by the tail-estimates method and splitting technique.

Yao , Xiaobin and Yue , Chan. (2025). Dynamics for the Stochastic Plate Equations of Kirchhoff Type on $\mathbb{R}^n$. Journal of Partial Differential Equations. 38 (2). 185-207. doi:10.4208/jpde.v38.n2.5
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