Finite-time blow-up and blow-up rates for the Gierer-Meinhardt system

被引：6
|
作者：
Zou, Henghui [1 ]
机构：
[1] Univ Alabama Birmingham, Dept Math, Birmingham, AL 35294 USA
来源：
APPLICABLE ANALYSIS | 2015年 / 94卷 / 10期
关键词：
blow-up rate; Gierer-Meinhardt system; finite-time blow-up; reaction-diffusion system; Primary; 35K51; 35K57; 35K58; REACTION-DIFFUSION SYSTEMS;
D O I：
10.1080/00036811.2014.969247
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the Gierer-Meinhardt system (1.1), shown below, on a bounded smooth domain () with a homogeneous Neumann boundary condition. Under suitable conditions on the exponents , , , and , we establish sufficient conditions for finite-time blow-up and obtain blow-up rates for blow-up solutions. This work is a continuation of our earlier result in this direction. The Gierer-Meinhardt system was introduced in to model activator-inhibitor systems in pattern formation in ecological systems.
引用
收藏
页码：2110 / 2132
页数：23
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