Random attractor of the stochastic strongly damped wave equation

In this paper we study the asymptotic dynamics of the stochastic strongly damped wave equation with homogeneous Neumann boundary condition. We investigate the existence of a random attractor for the random dynamical system associated with the equation.

► Consider the stochastic strongly damped wave equation with homogeneous Neumann boundary condition. ► The equation generates a random dynamical system in proper function space. ► Introduce a new norm which is equivalent to the usual norm. ► Prove the existence of a unique random attractor of the random dynamical system.