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Indexed by:期刊论文

Date of Publication:2008-12-01

Journal:APPLIED MATHEMATICS AND COMPUTATION

Included Journals:SCIE、EI、Scopus

Volume:206

Issue:1

Page Number:403-412

ISSN No.:0096-3003

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

Abstract:This paper deals with finite time quenching for one-dimensional heat equations coupled via negative singular boundary sources in the more general product form of two component powers u(-p1) v(-q1) and u(-p2) v(-q2). Differently from the generally considered, there are two additional singular factors, namely, u(-p1) and v(-q2) for the boundary sources of u and v, respectively. We at first propose a criterion to distinguish simultaneous and non-simultaneous quenching, and then determine all possible blow-up rates in the model, three for simultaneous quenching and two for non-simultaneous quenching, under different nominations. This shows real contributions of the two additional singular factors to the quenching behavior of solutions. (c) 2008 Elsevier Inc. All rights reserved.