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论文类型：期刊论文

发表时间：2008-09-01

发表刊物：SCIENCE IN CHINA SERIES A-MATHEMATICS

收录刊物：SCIE、Scopus

卷号：51

期号：9

页面范围：1631-1643

ISSN号：1006-9283

关键字：quenching; simultaneous quenching; non-simultaneous quenching; quenching rate; heat equation; singular nonlinear boundary flux

摘要：We study finite time quenching for heat equations coupled via singular nonlinear boundary flux. A criterion is proposed to identify the simultaneous and non-simultaneous quenchings. In particular, three kinds of simultaneous quenching rates are obtained for different nonlinear exponent regions and appropriate initial data. This extends an original work by Pablo, Quiros and Rossi for a heat system with coupled inner absorption terms subject to homogeneous Neumann boundary conditions.