报告人:黎定仕(西南交通大学)
邀请人:崔洪勇
报告时间:2023年6月30日(星期五)14:30-16:00
报告地点:科技楼南楼702室
报告题目:Limiting Behavior of Invariant Measures of Stochastic Reaction-Diffusion Equations on Thin Domains
报告摘要: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.
报告人简介:黎定仕,博士,教授, 博士生导师,主持国家自然科学基金项目2项,主研国家自然科学基金项目多项. 以第一或通讯作者身份发表SCI论文数十篇,其中包括J. Differential Equation, Discrete Contin. Dyn. Syst., Discrete Contin. Dyn. syst.-B, J.Math.Phys.等国际专业刊物. 获得四川省数学学会首届基础数学奖三等奖(个人),获批四川省学术和技术带头人后备人选,被评为西南交通大学唐立新优秀学者,雏鹰学者。