Qualitative behavior of a Keller-Segel model with non-diffusive memory

Kyungkeun Kang, Angela Stevens, Juan J.L. Velázquez

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

In this paper a one-dimensional Keller-Segel model with a logarithmic chemotactic-sensitivity and a non-diffusing chemical is classified with respect to its long time behavior. The strength of production of the non-diffusive chemical has a strong influence on the qualitative behavior of the system concerning existence of global solutions or Dirac-mass formation. Further, the initial data play a crucial role.

Original languageEnglish
Pages (from-to)245-274
Number of pages30
JournalCommunications in Partial Differential Equations
Volume35
Issue number2
DOIs
Publication statusPublished - 2010 Feb 1

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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