start-ver=1.4
cd-journal=joma
no-vol=36
cd-vols=
no-issue=7
article-no=
start-page=1791
end-page=1816
dt-received=
dt-revised=
dt-accepted=
dt-pub-year=2019
dt-pub=20190527
dt-online=
en-article=
kn-article=
en-subject=
kn-subject=
en-title=
kn-title=Axially asymmetric traveling fronts in balanced bistable reaction-diffusion equations
en-subtitle=
kn-subtitle=
en-abstract=
kn-abstract= For a balanced bistable reaction-diffusion equation, an axisymmetric traveling front has been well known. This paper proves that an axially asymmetric traveling front with any positive speed does exist in a balanced bistable reaction-diffusion equation. Our method is as follows. We use a pyramidal traveling front for an unbalanced reaction-diffusion equation whose cross section has a major axis and a minor axis. Preserving the ratio of the major axis and a minor axis to be a constant and taking the balanced limit, we obtain a traveling front in a balanced bistable reaction-diffusion equation. This traveling front is monotone decreasing with respect to the traveling axis, and its cross section is a compact set with a major axis and a minor axis when the constant ratio is not 1.
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=Research Institute for Interdisciplinary Science, Okayama University
kn-affil=
en-keyword=Traveling front
kn-keyword=Traveling front
en-keyword=Reaction-diffusion equation
kn-keyword=Reaction-diffusion equation
en-keyword=Asymmetric
kn-keyword=Asymmetric
en-keyword=Balanced
kn-keyword=Balanced
END