Invited by Prof. Zhicheng Wang and associate Prof. Jianwen Sun of School of Mathematics and Statistics, Prof. Yuxiang Li from school of mathematics of Southeast University will give lectures online.

Title：Finite-time blow-up in a 2d Keller-Segel System with rotation

Time：9:00 a.m.,Dec. 9th, 2021

Conference ID：423 657 642( Tencent Conference)

Abstract：In this 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.