A Note on Diffusion-Induced Blow-up |
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Authors: | Philippe Souplet |
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Affiliation: | (1) Laboratoire Analyse Géométrie et Applications, Institut Galilée, Université Paris-Nord, 93430 Villetaneuse, France |
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Abstract: | 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. To Professor Pavol Brunovsky, on the occasion of his 70th birthday. |
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Keywords: | Parabolic systems diffusion induced blow-up Neumann boundary conditions |
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