Boundary spiky and layer formation in the singular Keller-Segel model
报告题目(Title):Boundary spiky and layer formation in the singular Keller-Segel model
报告人(Speaker):王治安 教授(香港理工大学数学系)
地点(Place):后主楼1220
时间(Time):2020年1月12日下午4:00-5:00
邀请人(Inviter):许孝精
报告摘要
In this talk, we shall report some progress made on global well-posedness and asymptotic behavior of solutions to the singular Keller-Segel model for which very few results are known up to date due to the logarithmic singularity. Recently we find an idea to resolve this singularity and make the problem tractable. By imposing Zero-flux and Dirichlet mixed boundary conditions based on some real experiment, we find the unique boundary aggregation and layer steady state and prove its nonlinear stability.