Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2008-01-15

Journal: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Included Journals: EI、SCIE

Volume: 68

Issue: 2

Page Number: 288-303

ISSN: 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.