Non-existence of finite-time self-similar solutions of the Keller-Segel system in the scaling invariant class

Hideo Kozono, Yoshie Sugiyama, Ryo Takada

研究成果: Article査読

5 被引用数 (Scopus)

抄録

Let us consider the problem whether there does exist a finite-time self-similar solution of the backward type to the semilinear Keller-Segel system. In the case of parabolic-elliptic type for n ≥ 3 we show that there is no such a solution with a finite mass in the scaling invariant class. On the other hand, in the case of parabolic-parabolic type for n ≥ 2, non-existence of finite-time self-similar solutions is proved in a larger class of a finite mass with some local bounds.

本文言語English
ページ(範囲)60-66
ページ数7
ジャーナルJournal of Mathematical Analysis and Applications
365
1
DOI
出版ステータスPublished - 2010 5 1
外部発表はい

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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