Dynamics of a non-autonomous stochastic weakly damped plate model with critical exponent
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Date
2022-02-07
Authors
Wen, Lan
Yang, Lu
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Weakly damped plate equation, Pullback random attractor, Time-dependent external term, Critical exponent
Citation
Wen, L., & Yang, L. (2022). Dynamics of a non-autonomous stochastic weakly damped plate model with critical exponent. <i>Electronic Journal of Differential Equations, 2022</i>(10), pp. 1-23.
Rights
Attribution 4.0 International