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Blow-up Sets to a Coupled Heat System

Blow-up Sets to a Coupled Heat System
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摘要 This paper deals with a heat system coupled via local and localized sources subject to null Dirichlet boundary conditions. In a previous paper of the authors, a complete result on the multiple blow-up rates was obtained. In the present paper, we continue to consider the blow-up sets to the system via a complete classification for the nonlinear parameters. That is the discussion on single point versus total blow-up of the solutions. It is mentioned that due to the influence of the localized sources, there is some substantial difficulty to be overcomed there to deal with the single point blow-up of the solutions. This paper deals with a heat system coupled via local and localized sources subject to null Dirichlet boundary conditions. In a previous paper of the authors, a complete result on the multiple blow-up rates was obtained. In the present paper, we continue to consider the blow-up sets to the system via a complete classification for the nonlinear parameters. That is the discussion on single point versus total blow-up of the solutions. It is mentioned that due to the influence of the localized sources, there is some substantial difficulty to be overcomed there to deal with the single point blow-up of the solutions.
作者 Wang Jin-huan Hong Liang Yin Jing-xue
机构地区 Department of Mathematics Department of Mathematical Sciences School of Mathematical Sciences
出处 《Communications in Mathematical Research》 CSCD 2014年第2期117-130,共14页 数学研究通讯（英文版）
基金 China Postdoctoral Science Foundation(20110490409) Science Foundation(L2010146)of Liaoning Education Department
关键词 coupled localized source coupled local source total blow-up singlepoint blow-up blow-up set coupled localized source, coupled local source, total blow-up, singlepoint blow-up, blow-up set
分类号 O175 [理学—基础数学]
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参考文献14

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Communications in Mathematical Research
2014年 第2期

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