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,曾任数学学院副经理。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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