Special Session 156: Structure and dynamics of solutions for nonlinear elliptic and parabolic equations

Properties of radial steady states to flux-limited Keller-Segel systems
Takasi Senba
Kanagawa University
Japan
Co-Author(s):    
Abstract:
This talk is based on a joint work with Shohei Kohatsu (Tokyo University of Science). We consider radial solutions to lux-limited Keller-Segel systems with a parameter. If the parameter is bigger than the threshold, the system has blow-up solutions. If the parameter is less than the threshold, the system does not have blow-up solutions. Then, the parameter is closely related to properties of solutions. In this talk, we consider the relation between the parameter and properties of radial steady states.