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

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13 Citations (Scopus)

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
Pages (from-to)4301-4338
Number of pages38
JournalJournal of Differential Equations
Volume260
Issue number5
DOIs
Publication statusPublished - Mar 5 2016

Keywords

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

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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