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.

引用

页码：5599 / 5605

页数：7

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