start-ver=1.4
cd-journal=joma
no-vol=260
cd-vols=
no-issue=5
article-no=
start-page=4301
end-page=4338
dt-received=
dt-revised=
dt-accepted=
dt-pub-year=2016
dt-pub=20160305
dt-online=
en-article=
kn-article=
en-subject=
kn-subject=
en-title=
kn-title=Convex compact sets in RN-1 give traveling fronts of cooperation-diffusion systems in R-N
en-subtitle=
kn-subtitle=
en-abstract=
kn-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 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. 
en-copyright=
kn-copyright=

en-aut-name=TaniguchiMasaharu
en-aut-sei=Taniguchi
en-aut-mei=Masaharu
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=1
ORCID=

affil-num=1
en-affil=
kn-affil=Department of Mathematics, Faculty of Science, Okayama University
en-keyword=Traveling front
kn-keyword=Traveling front
en-keyword=Cooperation diffusion system
kn-keyword=Cooperation diffusion system
en-keyword=Non-symmetric
kn-keyword=Non-symmetric
END