Electron. J. Differential Equations, Vol. 2022 (2022), No. 10, pp. 1-23.

Dynamics of a non-autonomous stochastic weakly damped plate model with critical exponent

Lan Wen, Lu Yang

Abstract:
In this article, we study the long-time behavior of the non-autonomous stochastic weakly damped plate model with critical exponent. By decomposing the solutions of the system and estimating the bounds of solutions in a more regular space, we obtain random attractors, when the external term is time-dependent and the nonlinearity has a critical growth.

Submitted October 11, 2021. Published February 7, 2022.
Math Subject Classifications: 37L05, 35B40, 35B41.
Key Words: Weakly damped plate equation; pullback random attractor; time-dependent external term; critical exponent.
DOI: https://doi.org/10.58997/ejde.2022.10

Show me the PDF file (388 KB), TEX file for this article.

Lan Wen
School of Mathematics and Statistics
Lanzhou University
Lanzhou 730000, China
email: wenl18@lzu.edu.cn
Lu Yang
School of Mathematics and Statistics
Lanzhou University
Lanzhou 730000, China
email: yanglu@lzu.edu.cn

Return to the EJDE web page