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Indexed by:期刊论文

Date of Publication:2008-01-15

Journal:NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Included Journals:SCIE、EI

Volume:68

Issue:2

Page Number:288-303

ISSN No.:0362-546X

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

Abstract: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.