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Bifurcation from flat-layered solutions to reaction diffusion systems in two space dimensions
http://hdl.handle.net/2261/1582
http://hdl.handle.net/2261/1582138aaf50-d5ac-4f66-96f2-b79f4eb6aec5
名前 / ファイル | ライセンス | アクション |
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jms010205.pdf (261.1 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-03-04 | |||||
タイトル | ||||||
タイトル | Bifurcation from flat-layered solutions to reaction diffusion systems in two space dimensions | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Taniguchi, Masaharu
× Taniguchi, Masaharu |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Bifurcation from equilibrium solutions to reaction diffusion systems is considered in a two-dimensional domain. This solution has an internal transition layer that forms a flat interface. If the length of the interface in the tangential direction is small enough, the equilibrium solution is stable, but it is unstable if the length is larger than some critical value. In this paper, it is shown that bifurcation occurs at this critical length. We construct the bifurcating solutions and discuss their stability. Numerical results suggest that the bifurcation is subcritical. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 1, 号 2, p. 339-367, 発行日 1994 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR1317464 | ||||||
Mathmatical Subject Classification | ||||||
35B32(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
35K57(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
35B25(MSC1991) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
1993-07-27 |