Author(s)

Zhaojuan Wang^1*, Shengfan Zhou²

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

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.

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

Wang, Z. and Zhou, S. (2015) Asymptotic Behavior of Stochastic Strongly Wave Equation on Unbounded Domains. Journal of Applied Mathematics and Physics, 3, 338-357. doi: 10.4236/jamp.2015.33046.