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ID 58593
著者
Taniguchi, Masaharu Research Institute for Interdisciplinary Science, Okayama University ORCID Kaken ID publons researchmap
抄録
For a balanced bistable reaction-diffusion equation, the existence of axisymmetric traveling fronts has been studied by Chen, Guo, Ninomiya, Hamel and Roquejoffre [4]. This paper gives another proof of the existence of axisymmetric traveling fronts. Our method is as follows. We use pyramidal traveling fronts for unbalanced reaction-diffusion equations, and take the balanced limit. Then we obtain axisymmetric traveling fronts in a balanced bistable reaction-diffusion equation. Since pyramidal traveling fronts have been studied in many equations or systems, our method might be applicable to study axisymmetric traveling fronts in these equations or systems.
キーワード
Traveling front
reaction-diffusion equation
axisymmetric
balanced
備考
This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and Continuous Dynamical Systems - Series A following peer review. The definitive publisher-authenticated version Masaharu Taniguchi. Axisymmetric traveling fronts in balanced bistable reaction-diffusion equations. Discrete & Continuous Dynamical Systems - A, 2020, 40 (6) : 3981-3995. is available online at: https://doi.org/10.3934/dcds.2020126.
This fulltext is available in Mar. 2021.
発行日
2020-06
出版物タイトル
Discrete and Continuous Dynamical Systems - Series A
40巻
6号
出版者
American Institute of Mathematical Sciences
開始ページ
3981
終了ページ
3995
ISSN
1078-0947
NCID
AA11026216
資料タイプ
学術雑誌論文
言語
English
OAI-PMH Set
岡山大学
論文のバージョン
author
DOI
Web of Science KeyUT
関連URL
isVersionOf https://doi.org/10.3934/dcds.2020126
助成機関名
文部科学省
助成番号
26400169