报告人 ：李玉祥（东南大学）

时间：2023年06月14日 15:30--

地址：理科楼LA107

摘要：This talk is concerned with a radially symmetric Keller-Segel systems with supercritical sensitivity subjected to homogeneous Neumann boundary conditions.  We prove that there exists a critical mass m*, for arbitrary decreasing nonnegative initial data with mass large than m*, the corresponding solution blows up in finite time; for some decreasing nonnegative initial data with mass less than m*, the corresponding solutions are globally bounded. Our results extend that of Winkler's paper [Winkler, Math. Ann., 373 (2019), 1237-1282], where he proved similar results for the system with linear sensitivity.

简介：李玉祥，东南大学数学学院教授，博士生导师，教育部自然科学二等奖获得者，江苏省优秀博士论文指导教师，江苏省数学会理事，曾任数学学院副院长。长期从事非线性抛物型方程的研究，在国内外重要数学期刊Comm. Math. Phys.、Math. Ann、J. Differential Equations、European J. Appl. Math.发表学术论文50多篇。先后主持多项国家自然科学基金，江苏省自然科学基金、留学基金、博士后基金等。

邀请人：穆春来

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