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

Research output: Contribution to journalArticle

12 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
JournalJournal of Differential Equations
DOIs
Publication statusAccepted/In press - Oct 15 2014

Fingerprint

Travelling Fronts
Compact Convex Set
Equivalence relation
Smooth surface
Strictly Convex
Compact Set
Convex Sets
Phase Transition
Phase transitions
If and only if

Keywords

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

ASJC Scopus subject areas

  • Analysis

Cite this

@article{a4e9a7a27d254e3ea08cda251a6fe214,
title = "Convex compact sets in RN-1 give traveling fronts of cooperation-diffusion systems in RN",
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.",
keywords = "Cooperation-diffusion system, Non-symmetric, Traveling front",
author = "Masaharu Taniguchi",
year = "2014",
month = "10",
day = "15",
doi = "10.1016/j.jde.2015.11.010",
language = "English",
journal = "Journal of Differential Equations",
issn = "0022-0396",
publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Convex compact sets in RN-1 give traveling fronts of cooperation-diffusion systems in RN

AU - Taniguchi, Masaharu

PY - 2014/10/15

Y1 - 2014/10/15

N2 - 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.

AB - 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.

KW - Cooperation-diffusion system

KW - Non-symmetric

KW - Traveling front

UR - http://www.scopus.com/inward/record.url?scp=84947563298&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84947563298&partnerID=8YFLogxK

U2 - 10.1016/j.jde.2015.11.010

DO - 10.1016/j.jde.2015.11.010

M3 - Article

JO - Journal of Differential Equations

JF - Journal of Differential Equations

SN - 0022-0396

ER -