Dynamics of stochastic partly dissipative systems on time-varying domain. Issue 1 (2nd January 2017)

• Record Type: Journal Article
• Authors: Zhang, Zhen; Huang, Jianhua
• Is Part Of: Stochastic analysis and applications. Volume 35:Issue 1(2017)
• Page Start: 89
• Page End: 109
• Publication Date: 2017-01-02
• Subjects: Pullback attractor -- stochastic partly dissipative systems -- time-varying domain -- penalty function; 35K57 -- 37L30 -- 60H15; Stochastic analysis -- Periodicals; 519.2205
• DOI: 10.1080/07362994.2016.1221353
• Languages: English
• ISSNs: 0736-2994

Abstract

ABSTRACT: This article is devoted to stochastic partly dissipative systems (SPDS) defined on time-varying domain expending in time. The definition of a space–time trace class Wiener process on time-varying domain is presented by combining a time trace class Wiener process with a spatial intensity defined on time-varying domain. Some nice properties for Wiener process on time-varying domain are also presented. We develop a new penalty method to establish the existence and uniqueness of variational solution of SPDS with additive noise on time-varying domain. The existence of global attractor for the process generated by variational solution is also obtained.