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Indexed by:期刊论文

Date of Publication:2013-10-15

Journal:APPLIED MATHEMATICS AND COMPUTATION

Included Journals:SCIE、EI、Scopus

Volume:223

Page Number:401-410

ISSN No.:0096-3003

Key Words:Quenching; Non-simultaneous quenching; Quenching rate; Heat equation; Characteristic algebraic system

Abstract: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.