报告人：李扬荣（西南大学）

邀请人：崔洪勇

报告时间：2021年1月6日（星期三）10:00-11:00

报告地点：腾讯会议ID：210 915 570

报告题目：Almost continuity of random attractors

报告摘要: In this talk, we focus on the continuity of a pullback random attractor depended on time and sample parameters. Assuming three conditions including the union closedness of the universe,the time-sample compactness of the PRA and the joint continuity of the cocycle, we prove that, under the Hausdorff metric,the map (t,s) \to A(t, \theta_s\omega) is continuous at all points of a residual dense subset of the Euclid plane and full pre-continuous.Applying to the non-autonomous stochastic g-Navier-Stokes equation, we show the sample-continuity and local-uniform asymptotic compactness of the cocycle, which lead to the existence, residual continuity and pre-continuity of a PRA.

报告人简介：李扬荣，西南大学数学与统计学院教授，博导。博士（南京大学1996），博士后（北京应用物理与计算数学所）。现任重庆数学学会副理事长，曾任中国数学会理事（2011-2015）。主要研究随机偏微分方程、随机动力系统及其随机吸引子，先后在J. Dyn. Diff. Equ，J. Diff. Equ，Physica D, J. Appl .Probab.,Appl. Math. Opt.,Appl. Math. Comp. 等期刊上发表论文100余篇 （其中SCI论文70余篇）。先后完成国家自然科学基金面上项目三项， 曾获重庆市自然科学奖二等奖。