Quenching behavior of solutions in coupled heat equations with singular multi-nonlinearities

被引：1

作者：

Ji, Ruihong ^{[1
,2
,4
]}

Zhou, Shuangshuang ^{[3
,4
]}

Zheng, Sining ^{[4
]}

机构：

[1] Chengdu Univ Technol, Geomath Key Lab Sichuan Prov, Chengdu 610059, Peoples R China

[2] Sichuan Univ, Dept Math, Chengdu 610065, Peoples R China

[3] Hunan City Univ, Coll Math & Comp Sci, Yiyang 413000, Peoples R China

[4] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 223卷

基金：

中国国家自然科学基金;

关键词：

Quenching; Non-simultaneous quenching; Quenching rate; Heat equation; Characteristic algebraic system; DIFFUSION; SYSTEM;

D O I：

10.1016/j.amc.2013.07.098

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 behavior of solutions to coupled heat equations with singular multi-nonlinearities. We at first identify simultaneous and non-simultaneous quenching, and then establish four kinds of simultaneous quenching rates, which are uniformly represented via the characteristic algebraic system introduced for the model. A precise classification of parameters is given for the multiple simultaneous quenching rates. For example, we distinguish between two kinds of subcases, with or without particular requirements on initial data, realizing a common simultaneous quenching rate. On the other hand, it is interesting to find that there are two simultaneous quenching rates which share a common subregion of parameters, determined by the initial data assumed. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：401 / 410

页数：10

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