Total versus single point blow-up in a localized heat system |
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Authors: | Jinhuan Wang Sining Zheng |
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Institution: | 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; |
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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. |
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Keywords: | Localized source total blow-up single point blow-up blow-up set simultaneous blow-up non-simultaneous blow-up |
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