中科院数学与系统科学研究院
数学研究所
偏微分方程研讨班
报告人： Prof. Li CHEN (University of Mannheim,Germany)
题 目：Analysis on Keller-Segel Models in Chemotaxis
时 间：2019.01.02（星期三）, 15:00-16:00
地 点：数学院南楼N702室
摘 要：I this talk I will summarize some of our contributions in the analysis of parabolic elliptic Keller-Segel system, a typical model in chemotaxis. For the case of linear diffusion, after introducing the critical mass in two dimension, I will show our result for blow-up conditions for higher dimension. The second part of the talk is concentrated in the critical exponent for Keller-Segel system with porous media type diffusion. In the end, motivated from the result on nonlocal Fisher-KPP equation, we show that the nonlocal reaction will also help in preventing the blow-up of the solutions.
