On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis

Yoshiyuki Kagei, Yasunori Maekawa

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


This paper deals with large time behaviors of solutions to a Keller-Segel system which possesses self-similar solutions. By taking into account the invariant properties of the equation with respect to a scaling and translations, we show that suitably shifted self-similar solutions give more precise asymptotic profiles of general solutions at large time. The convergence rate is also computed in details.

Original languageEnglish
Pages (from-to)2951-2992
Number of pages42
JournalJournal of Differential Equations
Issue number11
Publication statusPublished - 2012 Dec 1


  • Keller-Segel system
  • Large time asymptotics
  • Scaling invariance
  • Self-similar solutions
  • Translation invariance

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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