Analysis & PDE |Blow-up profiles for the parabolic-elliptic Keller-Segel system in whole space with dimension $n /geq 3$

报告人：周茂林 研究员 (南开大学陈省身数学研究所)

时间：2019年11月20日（周三）上午10:00-11:00

地点：工商楼200-9报告厅

摘要：Recently, P. Souplet and M. Winkler [CMP, 2019] studied a simplified parabolic-elliptic Keller-Segel system in $/Omega/subset R^n (n>2)$. They obtained the blow-up profiles $cr^{-2}<U(r)<Cr^{-2}$ under suitable conditions, where $U(x)=/lim_{t/rightarrow T}u(x,t)$. An open problem proposed in this paper is that, the solution admits an exactly profile: $r^2U(r)$ converge to some constant as $r$ goes to zero. In this talk, we mainly discuss how to settle this open problem when the domain is the whole space. 

联系人：李奇睿（qi-rui.li@zju.edu.cn）