Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2013-10-15

Journal: APPLIED MATHEMATICS AND COMPUTATION

Included Journals: Scopus、EI、SCIE

Volume: 223

Page Number: 401-410

ISSN: 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.