Large self-similar solutions of the parabolic-elliptic Keller--Segel model
Analysis of PDEs
2021-11-10 v2
Abstract
We construct radial self-similar solutions of the, so called, minimal parabolic-elliptic Keller--Segel model in several space dimensions with radial, nonnegative initial conditions with are below the Chandrasekhar solution -- the singular stationary solution of this system.
Keywords
Cite
@article{arxiv.2001.02571,
title = {Large self-similar solutions of the parabolic-elliptic Keller--Segel model},
author = {Piotr Biler and Grzegorz Karch and Hiroshi Wakui},
journal= {arXiv preprint arXiv:2001.02571},
year = {2021}
}
Comments
to appear in Indiana University Mathematics Journal