Blow up analysis for Keller-Segel system
Analysis of PDEs
2025-03-31 v2
Abstract
In this paper we develop a blow up theory for the parabolic-elliptic Keller-Segel system, which can be viewed as a parabolic counterpart to the Liouville equation. This theory is applied to the study of first time singularities, ancient solutions and entire solutions, leading to a description of the blow-up limit in the first problem, and the large scale structure in the other two problems.
Cite
@article{arxiv.2210.12299,
title = {Blow up analysis for Keller-Segel system},
author = {Hua Chen and Jian-Meng Li and Kelei Wang},
journal= {arXiv preprint arXiv:2210.12299},
year = {2025}
}
Comments
Authors' final version, to appear in J. Funct. Anal