Random attractors for non-autonomous stochastic wave equations with nonlinear damping and white noise

This paper is concerned with the asymptotic behavior of solutions to a non-autonomous stochastic wave equation with additive white noise, for which the nonlinear damping has a critical cubic growth rate. By showing the pullback asymptotic compactness of the stochastic dynamic systems, we prove the existence of a random attractor in $H_{0}^{1}\times L^{2}$H01×L2.