Global existence and blowup of solutions to a chemotaxis system

被引：55

作者：

Nagai, T ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 47卷 / 02期

关键词：

parabolic system; blowup; global existence; decay properties; chemotaxis;

D O I：

10.1016/S0362-546X(01)00222-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonlinear parabolic system modeling chemotaxis in two-dimensional domains. The blowup behavior of solutions at isolated blowup points is mentioned. Next, we discuss the global existence of solutions in time to the Cauchy problem of the system on R-2 and decay properties of bounded solutions as time goes to infinity.

引用

页码：777 / 787

页数：11

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