Sharp condition for blow-up and global existence in a two species chemotactic Keller-Segel system in

Elio Espejo, Karina Vilches, Carlos Conca

Research output: Journal PublicationArticlepeer-review

24 Citations (Scopus)

Abstract

For the parabolic-elliptic Keller-Segel system in 2 it has been proved that if the initial mass is less than 8π/χ, a global solution exists, and in case the initial mass is larger than 8π/χ, blow-up happens. The case of several chemotactic species introduces an additional question: What is the analog for the critical mass obtained for the single species system? We find a threshold curve in the two species case that allows us to determine if the system is a blow-up or a global in time solution. No radial symmetry is assumed.

Original languageEnglish
Pages (from-to)297-313
Number of pages17
JournalEuropean Journal of Applied Mathematics
Volume24
Issue number2
DOIs
Publication statusPublished - 2013
Externally publishedYes

Keywords

  • chemotaxis
  • multicomponent Keller-Segel model
  • sharp conditions

ASJC Scopus subject areas

  • Applied Mathematics

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