On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis

Yoshiyuki Kagei, Yasunori Maekawa

研究成果: Article査読

4 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)2951-2992
ページ数42
ジャーナルJournal of Differential Equations
253
11
DOI
出版ステータスPublished - 2012 12 1

ASJC Scopus subject areas

  • 分析
  • 応用数学

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