应304am永利集团官网王智诚教授与孙建文副教授邀请,东南大学数学学院李玉祥教授将于2021年12月9日-12月10日与我校有关师生进行在线学术研讨,其中12月9日举行线上专题学术报告。
报告题目:Finite-time blow-up in a 2d Keller-Segel System with rotation
时间:12月9日上午9:00
腾讯会议ID:423 657 642
摘要:Inthis talk we consider Neumann problem for 2D Keller-Segel system with rotation where the rotation angel is \theta. We prove that: In a general bounded domain, if the initial mass is large than 8π/cos(\theta), then there exists nonnegative initial datum such that the corresponding nonradial solution blows up in finite time and the blow-up point lies in the domain; if the boundary of the domain contains a line segment and the initial mass is large than 4π/cos(\theta),then there exists nonnegative initial datum such that the nonradial solution blows up in finite time and the blow-up point lies in the line segment. Let the domain be a disc, if the initial mass is smaller than 8π/cos(\theat), then the radial solution exists globally in time; if the initial mass is smaller than 4π/cos(\theta), then the radial solution is globally bounded.
李玉祥教授简介
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。
甘肃应用数学中心
甘肃省高校应用数学与复杂系统省级重点实验室
304am永利集团官网
萃英学院
2021年12月7日