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论文类型：期刊论文

发表时间：2008-01-15

发表刊物：NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

收录刊物：SCIE、EI

卷号：68

期号：2

页面范围：288-303

ISSN号：0362-546X

关键字：non-simultaneous blow-up; simultaneous blow-up; characteristic algebraic system; blow-up rate; blow-up set; critical global existence exponents

摘要：This paper deals with the blow-up behavior of radial solutions to a parabolic system multi-coupled via inner sources and boundary flux. We first obtain a necessary and sufficient condition for the existence of non-simultaneous blow-up, and then find five regions of exponent parameters where both non-simultaneous and simultaneous blow-up may happen. In particular, nine simultaneous blow-up rates are established for different regions of parameters. It is interesting to observe that different initial data may lead to different simultaneous blow-up rates even with the same exponent parameters. (c) 2006 Elsevier Ltd. All rights reserved.