Convex compact sets in RN-1 give traveling fronts of cooperation-diffusion systems in RN

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Abstract

This paper studies traveling fronts to cooperation-diffusion systems in RN for N≥3. We consider (N-2)-dimensional smooth surfaces as boundaries of strictly convex compact sets in RN-1, and define an equivalence relation between them. We prove that there exists a traveling front associated with a given surface and show its stability. The associated traveling fronts coincide up to phase transition if and only if the given surfaces satisfy the equivalence relation.

Original languageEnglish
JournalJournal of Differential Equations
DOIs
Publication statusAccepted/In press - Oct 15 2014

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Keywords

  • Cooperation-diffusion system
  • Non-symmetric
  • Traveling front

ASJC Scopus subject areas

  • Analysis

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