Electronic Journal of Differential Equations, Vol. 2022 (2022), No. 10, pp. 1-23.

Title: Dynamics of a non-autonomous stochastic weakly damped plate model with critical exponent
       
Authors: Lan Wen (Lanzhou Univ., Lanzhou, China)
         Lu Yang (Lanzhou Univ., Lanzhou, China)

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 07, 2022.
Math Subject Classifications: 37L05, 35B40, 35B41.
Key Words: Weakly damped plate equation; pullback random attractor;
           time-dependent external term; critical exponent.