报告题目：Norm-bounded measure attractors for fractional FitzHugh-Nagumo equations with superlinear noise

报告人：李扬荣 教授 西南大学数学与统计学院

报告日期：3月31日 星期二

报告时间：14:30-15:30
地点：腾讯会议：724-684-447

报告摘要：For a measure process, we introduce a new concept of a pullback measure attractor, which is the minimal compact invariant set and pullback attracts all norm-bounded sets of probability measures. We then establish two abstract existence theorems for a pullback measure attractor. Applying to the fractional stochastic FitzHugh-Nagumo equations on an unbounded domain driven by superlinear space-time noise, we prove that the dual measure process has a minimal pullback measure attractor, which is further proved to be backward norm-bounded and convex. New methods of two-stages and direct-sum decomposition play key roles in the proofs of the continuity, forward invariance, past absorption and pullback asymptotic tightness for the dual process. This is a joint work with Xiaowen Tang and Chunhao Qiao.

报告人简介：李扬荣，西南大学数学与统计学院教授，博导。96年博士毕业于南京大学，2005年于北京应用物理与计算数学研究所作博士后。现任中国数学会常务理事。主要研究随机或确定的无穷维动力系统，在Math Ann, Siam NUM, J Diff Equ, Physica D, Siam JADS 等期刊上发表论文100余篇。先后主持国家自然科学基金面上项目3项，参研教育部重点项目一项。曾获重庆市自然科学二等奖, 三等奖及重庆市优教成果二等奖各一次。