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Indexed by:期刊论文

Date of Publication:2010-11-01

Journal:COMPUTERS & MATHEMATICS WITH APPLICATIONS

Included Journals:SCIE、EI、Scopus

Volume:60

Issue:9

Page Number:2564-2571

ISSN No.:0898-1221

Key Words:Degenerate parabolic system; Strongly coupled; Localized sources; Global blow-up

Abstract:In this paper, we investigate positive solutions of the strongly coupled degenerate parabolic system with localized sources u(t) = v(p)(Delta u + af(u(x(0), t))), v(t) = u(q) (Delta v + bg(v(x(0), t))), subject to null Dirichlet boundary conditions. The conditions for global and non-global solutions are determined respectively. Furthermore, it is proved for radial blow-up solutions that the blow-up set consists of the whole domain. (C) 2010 Elsevier Ltd. All rights reserved.