Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2009-06-15

Journal: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Included Journals: Scopus、EI、SCIE

Volume: 70

Issue: 12

Page Number: 4165-4177

ISSN: 0362-546X

Key Words: Critical exponents; Heat equations; Absorption; Nonlinear boundary source; Non-simultaneous blow-up

Abstract: 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.