Author(s)

Zhaojuan Wang^1*, Shengfan Zhou²

¹School of Mathematical Science, Huaiyin Normal University, Huaian, China.
²Department of Mathematics, Zhejiang Normal University, Jinhua, China.

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

Stochastic Strongly Damped Wave Equation, Random Dynamical System, Random Attractor

Wang, Z. and Zhou, S. (2015) Asymptotic Behavior of Stochastic Strongly Damped Wave Equation with Multiplicative Noise. International Journal of Modern Nonlinear Theory and Application, 4, 204-214. doi: 10.4236/ijmnta.2015.43015.