Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains

被引：383

作者：

Nagai, T ^{[1
]}

机构：

[1] Hiroshima Univ, Grad Sch Sci, Dept Math, Higashihiroshima 7398526, Japan

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2001年 / 6卷 / 01期

关键词：

parabolic-elliptic system; chemotaxis; finite-time blowup;

D O I：

10.1155/S1025583401000042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the initial-boundary value problem of parabolic-elliptic systems on bounded domains in R-2 with smooth boundary which is a mathematical model of chemotaxis. Making a differential inequality on the moment of solutions to the problem, we show the finite-time blowup of nonradial solutions under some condition on the mass and the moment of the initial data.

引用

页码：37 / 55

页数：19

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