Finite time blow-up for radially symmetric solutions to a critical quasilinear Smoluchowski-Poisson system

被引：32

作者：

Cieslak, Tomasz ^{[1
]}

Laurencot, Philippe ^{[2
]}

机构：

[1] Univ Warsaw, Inst Appl Math & Mech, PL-02097 Warsaw, Poland

[2] Univ Toulouse, CNRS, UMR 5219, Inst Math Toulouse, F-31062 Toulouse 9, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2009年 / 347卷 / 5-6期

关键词：

CHEMOTAXIS;

D O I：

10.1016/j.crma.2009.01.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Finite time blow-up is shown to occur for radially symmetric solutions to a critical quasilinear Smoluchowski-Poisson system provided that the mass of the initial condition exceeds ail explicit threshold. In the supercritical case, blow-up is shown to take place for any positive mass. The proof relies on a novel identity of virial type. To cite this article: T. Cieslak, P. Laurencot, C. R. Acad. Sci. Paris, Ser. I 347 (2009). (C) 2009 Academie des sciences. Published by Elsevier Masson SAS. All rights, reserved.

引用

页码：237 / 242

页数：6

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