Local criteria for blowup in two-dimensional chemotaxis models
Analysis of PDEs
2016-04-06 v3
Abstract
We consider two-dimensional versions of the Keller--Segel model for the chemotaxis with either classical (Brownian) or fractional (anomalous) diffusion. Criteria for blowup of solutions in terms of suitable Morrey spaces norms are derived. Moreover, the impact of the consumption term on the global-in-time existence of solutions is analyzed for the classical Keller--Segel system.
Keywords
Cite
@article{arxiv.1410.7807,
title = {Local criteria for blowup in two-dimensional chemotaxis models},
author = {Piotr Biler and Tomasz Cieślak and Grzegorz Karch and Jacek Zienkiewicz},
journal= {arXiv preprint arXiv:1410.7807},
year = {2016}
}