Asymptotic behavior for stochastic plate equations with memory in unbounded domains-Reference-Cited by-同舟云学术

Asymptotic behavior for stochastic plate equations with memory in unbounded domains

Published:2022-10-06 Issue:0 Volume:0 Page:
ISSN:1565-1339
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Yao Xiao Bin¹^ORCID

Affiliation:

1. School of Mathematics and Statistics , Qinghai Minzu University , Xi’ning , Qinghai 810007 , P.R. China

Abstract

Abstract In this paper, we investigate the dynamics of stochastic plate equations with memory in unbounded domains. More specifically, we obtain the uniform in time estimates for solutions of the problem. Based on the estimates above, we prove the existence and uniqueness of random attractors in unbounded domains. Finally, we show the upper semicontinuity of the attractors when stochastic perturbations approaches zero.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2021-0383/pdf

Reference31 articles.

1. A. R. A. Barbosaa and T. F. Ma, “Long-time dynamics of an extensible plate equation with thermal memory,” J. Math. Anal. Appl., vol. 416, pp. 143–165, 2014. https://doi.org/10.1016/j.jmaa.2014.02.042.

2. A. Kh. Khanmamedov, “A global attractor for the plate equation with displacement-dependent damping,” Nonlinear Anal., vol. 74, pp. 1607–1615, 2011. https://doi.org/10.1016/j.na.2010.10.031.

3. A. Kh. Khanmamedov, “Existence of global attractor for the plate equation with the critical exponent in an unbounded domain,” Appl. Math. Lett., vol. 18, pp. 827–832, 2005. https://doi.org/10.1016/j.aml.2004.08.013.

4. A. Kh. Khanmamedov, “Global attractors for the plate equation with a localized damping and a critical exponent in an unbounded domain,” J. Differ. Equ., vol. 225, pp. 528–548, 2006. https://doi.org/10.1016/j.jde.2005.12.001.

5. T. T. Liu and Q. Z. Ma, “Time-dependent attractor for plate equations on Rn${\mathbb{R}}^{n}$,” J. Math. Anal. Appl., vol. 479, pp. 315–332, 2019. https://doi.org/10.1016/j.jmaa.2019.06.028.