Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2010-06-01

Journal: FRONTIERS OF MATHEMATICS IN CHINA

Included Journals: SCIE

Volume: 5

Issue: 2

Page Number: 341-359

ISSN: 1673-3452

Key Words: Localized source; total blow-up; single point blow-up; blow-up set; simultaneous blow-up; non-simultaneous blow-up

Abstract: This paper considers a heat system with localized sources and local couplings subject to null Dirichlet boundary conditions, for which both total and single point blow-up are possible. The aim of the paper is to identify the total and single point blow-up via a complete classification for all the nonlinear parameters in the model. As preliminaries of the paper, simultaneous versus non-simultaneous blow-up of solutions is involved, too. The results are then compared with those for another kind of heat system coupled via localized sources in a previous paper of the authors.