English

Multiple peak aggregations for the Keller-Segel system

Analysis of PDEs 2015-06-04 v1

Abstract

In this paper we derive matched asymptotic expansions for a solution of the Keller-Segel system in two space dimensions for which the amount of mass aggregation is 8πN8\pi N, where N=1,2,3,...N=1,2,3,... Previously available asymptotics had been computed only for the case in which N=1.

Keywords

Cite

@article{arxiv.1203.0916,
  title  = {Multiple peak aggregations for the Keller-Segel system},
  author = {Yukihiro Seki and Yoshie Sugiyama and Juan J. L. Velázquez},
  journal= {arXiv preprint arXiv:1203.0916},
  year   = {2015}
}
R2 v1 2026-06-21T20:29:06.451Z