A study of blow-ups in the Keller-Segel model of chemotaxis

Research output: Contribution to journalArticle

15 Scopus citations

Abstract

We study the Keller-Segel model of chemotaxis and develop a composite particle-grid numerical method with adaptive time stepping which allows us to resolve and propagate singular solutions. We compare the numerical findings (in two dimensions) with analytical predictions regarding formation and interaction of singularities obtained through analysis of the stochastic differential equations associated with the model.

Original languageEnglish (US)
Article number81
Pages (from-to)81-94
Number of pages14
JournalNonlinearity
Volume26
Issue number1
DOIs
StatePublished - Jan 1 2013

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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