数学学院珠峰讲坛第547期:Asymptotic Stability of Evolution Systems of Probability Measures for Nonautonomous Stochastic Systems

October 29, 2026

一、讲座题目

Asymptotic Stability of Evolution Systems of Probability Measures for Nonautonomous Stochastic Systems

二、主讲人

王仁海,贵州师范大学校聘教授

三、摘要

In this talk, I shall recall some recent results on asymptotic stability of invariant probability measures of time homogeneous transition semigroups for autonomous stochastic systems. Then I present a general theoretical result on asymptotic stability of evolution systems of probability measures of time inhomogeneous transition operators for nonautonomous stochastic systems. In addition, this abstract result is applied to a stochastic lattice reaction-diffusion equation driven by a time-dependent nonlinear noise. This is a joint work with Tomas Caraballo and Nguyen Huy Tuan.

四、主讲人简介

王仁海,贵州师范大学校聘教授,西南大学与美国New Mexico Institute of Mining and Technology联合培养博士,北京应用物理与计算数学研究所博士后。主持中国博士后科学基金特别资助与面上资助,担任30多本SCI期刊的审稿人与两个SCI期刊客座编辑。其论文发表于Math. Ann.、Stoch. Proc. Appl.、J. Dynam. Differ. Equ.、Nonlinearity、J. Differ. Equ.、B. Sci. Math、Discrete Contin. Dyn. Syst.、Proc. Roy. Soc. Edinburgh Sect. A、Proc. Amer. Math. Soc.与中国科学数学等期刊。

五、邀请人

陈章 数学学院教授

六、时间

10月29日(周六)10:00

七、地点

腾讯会议

八、联系人

张亚辉,联系方式:yahzhang@mail.sdu.edu.cn

九、主办单位

山东大学数学学院