ID | 57196 |
フルテキストURL | |
著者 |
Taniguchi, Masaharu
Research Institute for Interdisciplinary Science, Okayama University
ORCID
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抄録 | 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.
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キーワード | Traveling front
Reaction-diffusion equation
Asymmetric
Balanced
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備考 | This fulltext will be available in Oct 2021
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発行日 | 2019-05-27
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出版物タイトル |
Annales de l'Institut Henri Poincaré C, Analyse non linéaire
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巻 | 36巻
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号 | 7号
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出版者 | Elsevier
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開始ページ | 1791
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終了ページ | 1816
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ISSN | 02941449
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NCID | AA10501074
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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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著作権者 | © 2019 Elsevier Masson SAS. All rights reserved.
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論文のバージョン | author
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関連URL | isVersionOf https://doi.org/10.1016/j.anihpc.2019.05.001
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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.
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オープンアクセス(出版社) |
非OA
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