点击次数：

论文类型：期刊论文

发表时间：2008-12-01

发表刊物：APPLIED MATHEMATICS AND COMPUTATION

收录刊物：SCIE、EI、Scopus

卷号：206

期号：1

页面范围：403-412

ISSN号：0096-3003

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

摘要：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.