版权所有：中国人民大学数学科学研究院 地址：北京市海淀区中关村大街59号人民大学 电话：62519572
邮箱：math@ruc.edu.cn 邮编：100872
Speaker: Professor Li Chen, University of Mannheim
Title: Analysis on Keller-Segel Models in Chemotaxis
Abstract: I this talk I will summerize 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 porus 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.