发布时间:2018-10-15
报告人:李扬荣 (西南大学sunbet中国官网)
报告题目:Longtime robustness of pullback random attractors
报告摘要: In this talk, we focus on the semi-continuity of a pullback random attractor (PRA) at infinite time. We first establish the criteria for backward compactness of a PRA from a backward limit-set compact cocycle. We then prove that backward compactness of a PRA is a necessary and sufficient condition such that its time-fibers are upper semi-continuous at negative infinity, and obtain the minimal compact limit-set. We further obtain the maximal limit-set in the lower semi-continuity sense. The abstract results are illustrated in the contexts of stochastic magneto-hydrodynamics equations. Some further questions (or subjects) are proposed.
报告人简介:李扬荣,西南大学sunbet中国官网教授,博导。博士(南京大学1996),博士后(北京应用物理与计算数学所)。现任重庆数学会,重庆工业与应用数学会副理事长,曾任中国数学会理事。主要研究随机偏微分方程的渐近性态及其上的随机动力系统,先后在J Dyn Diff Equ, J Diff Equ, Fract Cal Appl Anal,Phys D, J Appl Probab等期刊上发表论文100余篇 (其中SCI论文50余篇)。先后主持国家自然科学基金项目3项,教育部重点项目一项。曾获重庆市自然科学奖二等奖及优教成果二等奖各一项。
报告时间:2018年10月18日(星期四)上午9:00-10:00
报告地点:科技楼南楼702