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Simultaneous versus Nonsimultaneous Blowup for a System of Heat Equations Coupled Boundary Flux

Boundary Value Problems volume 2007, Article number: 075258 (2007) Cite this article

Abstract

This paper deals with a semilinear parabolic system in a bounded interval, completely coupled at the boundary with exponential type. We characterize completely the range of parameters for which nonsimultaneous and simultaneous blowup occur.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Jincheng College of Sichuan University, Chengdu, 611731, China

    Mingshu Fan

  2. Department of Mathematics, Sun Yat-Sen University, Guangzhou, 510275, China

    Lili Du

  3. School of Mathematical Sciences, South China University of Technology, Guangzhou, 510640, China

    Lili Du

Authors
  1. Mingshu Fan
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  2. Lili Du
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Correspondence to Mingshu Fan.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Fan, M., Du, L. Simultaneous versus Nonsimultaneous Blowup for a System of Heat Equations Coupled Boundary Flux. Bound Value Probl 2007, 075258 (2007). https://doi.org/10.1155/2007/75258

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  • DOI: https://doi.org/10.1155/2007/75258

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Heat Equation