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报告题目: Finite-time Blow-up in a 2d Keller-Segel System with Rotation
报 告 人: 李玉祥 教授
报告人所在单位: 东南大学
报告日期: 2021-10-08
报告时间: 10:00—11:00
报告地点: 腾讯会议号:546 100 342
   
报告摘要:
In this talk we consider Neumann problem for 2D Keller-Segel system with rotation where the rotation angel is A. We prove that: In a general bounded domain, if the initial mass is large than 8π/cos(A), 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(A),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(A), then the radial solution exists globally in time; if the initial mass is smaller than 4π/cos(A), then the radial solution is globally bounded.

 李玉祥_学术报告海报20211008.pdf

   
本年度学院报告总序号: 237

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