Limiting behavior of non-autonomous stochastic reaction-diffusion equations on thin domains

作者：Li, Dingshi; Wang, Bixiang; Wang, Xiaohu^*

来源：Journal of Differential Equations, 2017, 262(3): 1575-1602.

DOI：10.1016/j.jde.2016.10.024

• Thin domain
• Stochastic reaction-diffusion equation
• Pullback attractor
• Upper semicontinuity

This paper deals with the limiting behavior of stochastic reaction-diffusion equations driven by multiplicative noise and deterministic non-autonomous terms defined on thin domains. We first prove the existence, uniqueness and periodicity of pullback tempered random attractors for the equations in an (n + 1)-dimensional narrow domain, and then establish the upper semicontinuity of these attractors when a family of (n + 1)-dimensional thin domains collapses onto an n-dimensional domain.

• 出版日期2017-2-5
• 单位西南交通大学; 四川大学