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ID 57196
Author
Taniguchi, Masaharu Research Institute for Interdisciplinary Science, Okayama University ORCID Kaken ID publons researchmap
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.
Keywords
Traveling front
Reaction-diffusion equation
Asymmetric
Balanced
Note
This fulltext will be available in Oct 2021
Published Date
2019-05-27
Publication Title
Annales de l'Institut Henri Poincaré C, Analyse non linéaire
Volume
volume36
Issue
issue7
Publisher
Elsevier
Start Page
1791
End Page
1816
ISSN
02941449
NCID
AA10501074
Content Type
Journal Article
language
英語
OAI-PMH Set
岡山大学
Copyright Holders
© 2019 Elsevier Masson SAS. All rights reserved.
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author
DOI
Web of Science KeyUT
Related Url
isVersionOf https://doi.org/10.1016/j.anihpc.2019.05.001
Citation
Masaharu Taniguchi, Axially asymmetric traveling fronts in balanced bistable reaction-diffusion equations, Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 36, Issue 7, 2019, Pages 1791-1816, ISSN 0294-1449, https://doi.org/10.1016/j.anihpc.2019.05.001.
Open Access (Publisher)
non-OA
Open Archive (publisher)
Non-OpenArchive