Dynamic behaviors of a local modified stochastic Swift-Hohenberg equation with multiplicative noise

Boundary value problems

Yanfeng Guo¹  Chunxiao Guo²  Chengyuan Li² 

[1] Department of Information and Computation Science, Guangxi University of Science and of Technology, Guangxi, China;Department of Mathematics, China University of Mining and Technology Beijing, Beijing, China

关键词: local modified stochastic Swift-Hohenberg equation;    uniform a ;    priori estimates;    random attractor;   

DOI  :  10.1186/s13661-017-0753-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we investigate a global random attractor for a stochastic local modified Swift-Hohenberg equation with multiplicative noise in Stratonovich sense. Through the Ornstein-Uhlenbeck (O-U) transformation, we obtain the random dynamical system associated with the stochastic local modified Swift-Hohenberg equation. Using the properties of the O-U process, we derive the specific uniform a priori estimates, using which we prove the existence of global random attractor for the corresponding random dynamical system.

【 授权许可】

CC BY