Asymptotic behavior of the solution for a diffusive system coupled with localized sources

被引：0
|
作者：
Li, FC [1 ]
Xue, GH [1 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
来源：
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS | 2005年 / 12卷 / 06期
关键词：
diffusive system; localized source; blow-up; global existence; blow-tip set; asymptotic behavior of the solution;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the positive solution of a diffusive system with localized sources: u(t) - Delta u = v(P)(x(0), t), v(t) - Delta v = u(q)(X-0, t) in a bounded domain, p, q >= 1, pq > 1. Under appropriate hypotheses, it is proved that the unique classical solution either exists globally or blows tip in finite time. The authors also obtain its blow-up set and asymptotic behavior.
引用
收藏
页码：719 / 730
页数：12
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