Quenching for a reaction-diffusion system with logarithmic singularity

被引：12
|
作者：
Mu, Chunlai [1 ]
Zhou, Shouming [1 ]
Liu, Dengming [1 ]
机构：
[1] Chongqing Univ, Coll Math & Phys, Chongqing 400044, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 11期
关键词：
Reaction-diffusion system; Quenching; Non-simultaneous quenching; Quenching rate; HEAT-EQUATIONS;
D O I：
10.1016/j.na.2009.04.055
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the quenching phenomenon for a reaction-diffusion system with singular logarithmic source terms and positive Dirichlet boundary conditions. Some sufficient conditions for quenching of the solutions in finite time are obtained, and the blow-up of time-derivatives at the quenching point is verified. Furthermore, under appropriate hypotheses, the non-simultaneous quenching of the system is proved, and the estimates of quenching rate is given. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：5599 / 5605
页数：7
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