ID | 58593 |
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著者 |
Taniguchi, Masaharu
Research Institute for Interdisciplinary Science, Okayama University
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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.
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キーワード | Traveling front
reaction-diffusion equation
axisymmetric
balanced
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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.
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発行日 | 2020-06
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出版物タイトル |
Discrete and Continuous Dynamical Systems - Series A
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巻 | 40巻
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号 | 6号
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出版者 | American Institute of Mathematical Sciences
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開始ページ | 3981
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終了ページ | 3995
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ISSN | 1078-0947
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NCID | AA11026216
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資料タイプ |
学術雑誌論文
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言語 |
英語
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OAI-PMH Set |
岡山大学
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論文のバージョン | author
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関連URL | isVersionOf https://doi.org/10.3934/dcds.2020126
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助成機関名 |
文部科学省
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助成番号 | 26400169
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