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Indexed by:期刊论文

Date of Publication:2010-06-01

Journal:FRONTIERS OF MATHEMATICS IN CHINA

Included Journals:SCIE

Volume:5

Issue:2

Page Number:341-359

ISSN No.: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.