On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis

Yoshiyuki Kagei, Yasunori Maekawa

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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
Volume253
Issue number11
DOIs
Publication statusPublished - Dec 1 2012

Fingerprint

Chemotaxis
Self-similar Solutions
Parabolic Systems
Asymptotic Behavior of Solutions
System Modeling
Asymptotic Profile
Precise Asymptotics
Large Time Behavior
Behavior of Solutions
General Solution
Convergence Rate
Scaling
Invariant

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis. / Kagei, Yoshiyuki; Maekawa, Yasunori.

In: Journal of Differential Equations, Vol. 253, No. 11, 01.12.2012, p. 2951-2992.

Research output: Contribution to journalArticle

Kagei, Yoshiyuki ; Maekawa, Yasunori. / On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis. In: Journal of Differential Equations. 2012 ; Vol. 253, No. 11. pp. 2951-2992.
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