Large global-in-time solutions to a nonlocal model of chemotaxis
Analysis of PDEs
2017-05-10 v1
Abstract
We consider the parabolic-elliptic model for the chemotaxis with fractional (anomalous) diffusion. Global-in-time solutions are constructed under (nearly) optimal assumptions on the size of radial initial data. Moreover, criteria for blowup of radial solutions in terms of suitable Morrey spaces norms are derived.
Keywords
Cite
@article{arxiv.1705.03310,
title = {Large global-in-time solutions to a nonlocal model of chemotaxis},
author = {Piotr Biler and Grzegorz Karch and Jacek Zienkiewicz},
journal= {arXiv preprint arXiv:1705.03310},
year = {2017}
}