Asymptotic behavior for stochastic plate equations with memory and additive noise on unbounded domains

Abstract

In this paper we study asymptotic behavior of a class of stochastic plate equations with memory and additive noise. First we introduce a continuous cocycle for the equation and establish the pullback asymptotic compactness of solutions. Second we consider the existence and upper semicontinuity of random attractors for the equation.

Asymptotic Behavior of the Kirchhoff Type Stochastic Plate Equation on Unbounded Domains

“…For the stochastic case, the existence of random attractors for plate equations has been investigated in [10,11,12] on bounded domains. In addition, there are results about the existence of random attractors and asymptotic compactness for plate equations on unbounded domains in [13][14][15][16][17][18].…”