报告人:周茂林
报告时间:11月25日14:30
报告地点:学院南阶梯教室
报告摘要:
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 a 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.
报告人简介:
周茂林,南开大学研究员,2009年毕业于南开大学获学士学位;2014年毕业于日本东京大学获博士学位。主要研究方向为非线性偏微分方程,获得过澳大利亚基金委的青年研究者奖资助(类似于优青)。主要研究成果发表在AIHPA、JMAP、JFA、CVPDE学术刊物上。