Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Prof. Li CHEN，University of Mannheim,Germany
Inviter:
Title:	Analysis on Keller-Segel Models in Chemotaxis
Time & Venue:	2019.1.2 15:00-16:00 N702
Abstract:	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.