TITLE:
Asymptotic Behavior of Stochastic Strongly Wave Equation on Unbounded Domains
AUTHORS:
Zhaojuan Wang, Shengfan Zhou
KEYWORDS:
Stochastic Strongly Damped Wave Equation, Random Dynamical System, Random Attractor
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.3 No.3,
March
30,
2015
ABSTRACT: We study
the asymptotic behavior of solutions to the stochastic strongly damped wave
equation with additive noise defined on unbounded domains. We first prove the
uniform estimates of solutions, and then establish the existence of a random
attractor.