Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2008-08-01

Journal: APPLIED MATHEMATICS AND COMPUTATION

Included Journals: Scopus、EI、SCIE

Volume: 202

Issue: 1

Page Number: 141-145

ISSN: 0096-3003

Key Words: coupled heat equations; positive source; negative source; non-linear boundary flux; non-simultaneous blow-up; simultaneous blow-up

Abstract: This is a successive work to the previous paper [S.N. Zheng, L. Qiao, Non-simultaneous blow-up for heat equations with positive-negative sources and coupled boundary flux, Commun. Pure Appl. Anal. 6 (4) (2007), 1113-1129] of the authors. We continue considering non-simultaneous versus simultaneous blow-up for a heat equation model with positive-negative sources and coupled non-linear boundary flux. Owing to a complete classification for all the non-linear parameters of the model, we arrive at a criterion for distinguishing between non-simultaneous and simultaneous blow-up in the coupled system. (c) 2008 Elsevier Inc. All rights reserved.