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

Masaharu Taniguchi

doi:10.1016/j.jde.2015.11.010

Convex compact sets in R^N−1 give traveling fronts of cooperation–diffusion systems in R^N

Masaharu Taniguchi

Research output: Contribution to journal › Article

13 Citations (Scopus)

Abstract

This paper studies traveling fronts to cooperation–diffusion systems in R^N for N≥3. We consider (N−2)-dimensional smooth surfaces as boundaries of strictly convex compact sets in R^N−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 language	English
Pages (from-to)	4301-4338
Number of pages	38
Journal	Journal of Differential Equations
Volume	260
Issue number	5
DOIs	https://doi.org/10.1016/j.jde.2015.11.010
Publication status	Published - Mar 5 2016

Keywords

Cooperation–diffusion system
Non-symmetric
Traveling front

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jde.2015.11.010

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