TITLE:
Asymptotic Behavior of Stochastic Strongly Damped Wave Equation with Multiplicative Noise
AUTHORS:
Zhaojuan Wang, Shengfan Zhou
KEYWORDS:
Stochastic Strongly Damped Wave Equation, Random Dynamical System, Random Attractor
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.4 No.3,
September
15,
2015
ABSTRACT: 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.