Random attractors for non-autonomous stochastic wave equations with nonlinear damping and white noise

Advances in Difference Equations

article

Yao, Huazhen¹  Zhang, Jianwen² 

[1] College of Mechanical and Vehicle Engineering, Taiyuan University of Technology;College of Mathematics, Taiyuan University of Technology

关键词: Random attractors;    Additive white noise;    Nonlinear damping;    Non-autonomous stochastic wave equation;   

DOI  :  10.1186/s13662-020-02664-3

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

This paper is concerned with the asymptotic behavior of solutions to a non-autonomous stochastic wave equation with additive white noise, for which the nonlinear damping has a critical cubic growth rate. By showing the pullback asymptotic compactness of the stochastic dynamic systems, we prove the existence of a random attractor in $H_{0}^{1}\times L^{2}$.

【 授权许可】

CC BY