Blow up of solutions to generalized Keller--Segel model
Analysis of PDEs
2008-12-31 v1
Abstract
The existence and nonexistence of global in time solutions is studied for a class of equations generalizing the chemotaxis model of Keller and Segel. These equations involve L\'evy diffusion operators and general potential type nonlinear terms.
Cite
@article{arxiv.0812.4982,
title = {Blow up of solutions to generalized Keller--Segel model},
author = {Piotr Biler and Grzegorz Karch},
journal= {arXiv preprint arXiv:0812.4982},
year = {2008}
}