Total versus single point blow-up in a localized
heat system
Total versus single point blow-up in a localized
heat system
Jinhuan WANG1,Sining ZHENG2,
1.Department of Mathematics,
Liaoning University, Shenyang 110036, China；School of Mathematical
Sciences, Dalian University of Technology, Dalian 116024, China; 2.School of Mathematical
Sciences, Dalian University of Technology, Dalian 116024, China;
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.
. Total versus single point blow-up in a localized
heat system[J]. Front. Math. China, 2010, 5(2): 341-359.
Jinhuan WANG, Sining ZHENG, . Total versus single point blow-up in a localized
heat system. Front. Math. China, 2010, 5(2): 341-359.
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