Speaker: Dingshi Li, professor, Southwest Jiaotong University

Date: December 13, 2023

Time: 8:30-9:30

Location: Tencent Meeting: 633 157 106

Sponsor: School of Mathematics, Shandong University

Abstract:

This talk deals with the limiting behavior of invariant Measures of stochastic reaction-diffusion equations on thin domains. We first show the existence of invariant measures of the stochastic equations in a bounded domain in $R^{n+1}$ which can be viewed as a perturbation of a bounded domain in $R^n$. We then prove that the set of all invariant measures of the perturbed equations is tight and any limit of invariant measures of the perturbed systems must be an invariant measure of the limiting system when the $(n+1)$-dimensional thin domains collapses onto an $n$-dimensional domain. This lecture is based on a joint work with Kening Lu and Bixiang Wang.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/186369.htm