A Note on Diffusion-Induced Blow-up

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• 作者：Philippe Souplet
• 关键词：Parabolic systems ; diffusion induced blow ; up ; Neumann boundary conditions
• 刊名：Journal of Dynamics and Differential Equations
• 出版年：2007
• 出版时间：September, 2007
• 年：2007
• 卷：19
• 期：3
• 页码：819-823
• 全文大小：75 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Ordinary Differential Equations
  Partial Differential Equations
  Applications of Mathematics
  
• 出版者：Springer Netherlands
• ISSN：1572-9222

文摘

The goal of paper is to give a simpler proof and some extensions of a result of Weinberger [3] concerning diffusion induced blow-up. The result states that, for certain systems of two parabolic equations with equal diffusion and homogeneous Neumann boundary conditions, some blowing-up solutions exist, although the corresponding system of ODE’s has only global bounded solutions.