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论文类型：期刊论文

发表时间：2009-06-15

发表刊物：NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

收录刊物：SCIE、EI、Scopus

卷号：70

期号：12

页面范围：4165-4177

ISSN号：0362-546X

关键字：Critical exponents; Heat equations; Absorption; Nonlinear boundary source; Non-simultaneous blow-up

摘要：This paper studies coupled heat equations with multi-nonlinearities of six nonlinear parameters. The critical blow-up exponent is established via a complete classification for all the six nonlinear parameters, where a precise analysis on the geometry of Omega and the absorption coefficients is given for the balanced interaction situation among the multinonlinearities. The main attention is contributed to non-simultaneous phenomena in the model to determine the necessary and sufficient conditions of non-simultaneous blow-up with suitable initial data, as well as the conditions under which any blow-up must be nonsimultaneous. Finally, the model of the paper is characterized by a comparison with the known results for other models. (C) 2008 Elsevier Ltd. All rights reserved.