Global existence and blow-up for a system describing the aggregation of microglia

Elio Espejo, Takashi Suzuki

Research output: Journal PublicationArticlepeer-review

50 Citations (Scopus)

Abstract

We consider the system ut=Δu-(χuv)+(ξuw), τvt=Δv+αu-βv,τwt= Δw+γu-δw, which has been proposed to describe the aggregation of microglia. We study the problem of global existence and blow-up for this system.

Original languageEnglish
Pages (from-to)29-34
Number of pages6
JournalApplied Mathematics Letters
Volume35
Issue number1
DOIs
Publication statusPublished - Sep 2014
Externally publishedYes

Keywords

  • Aggregation
  • Alzheimer
  • Blow-up
  • Elliptic
  • Keller-Segel model
  • Parabolic

ASJC Scopus subject areas

  • Applied Mathematics

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