Dynamics of stochastic partly dissipative systems on time-varying domain

作者：Zhang, Zhen; Huang, Jianhua^*

来源：Stochastic Analysis and Applications, 2017, 35(1): 89-109.

DOI：10.1080/07362994.2016.1221353

• Pullback attractor
• stochastic partly dissipative systems
• time-varying domain
• penalty function
• 35K57
• 37L30
• 60H15

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.

• 出版日期2017
• 单位中国人民解放军国防科学技术大学