Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2010-11-01

Journal: COMPUTERS & MATHEMATICS WITH APPLICATIONS

Included Journals: Scopus、EI、SCIE

Volume: 60

Issue: 9

Page Number: 2564-2571

ISSN: 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.