Special Session 17: Analysis of chemotaxis models

Blow-up in a chemotaxis system with $p$-Laplacian diffusion
Yuya Tanaka
Department of Mathematical Sciences, Kwansei Gakuin University
Japan
Co-Author(s):    Monica Marras
Abstract:
This talk deals with a parabolic--elliptic chemotaxis system with $p$-Laplacian diffusion. In previous related works, global existence and boundedness of solutions were established for the case $p>3N/(N+1)$. In this talk, we discuss finite-time blow-up of solutions in the opposite case. This is a joint work with Monica Marras (University of Cagliari).