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Multi-dimensional transition layers for an exothermic reaction-diffusion system in long cylindrical domains
http://hdl.handle.net/2261/1543
http://hdl.handle.net/2261/15432db5b41e-3efb-4576-83f2-ad449045dcff
名前 / ファイル | ライセンス | アクション |
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jms030108.pdf (1.2 MB)
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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 | Multi-dimensional transition layers for an exothermic reaction-diffusion system in long cylindrical domains | |||||
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 |
Mimura, Masayasu
× Mimura, Masayasu× Sakamoto, Kunimochi |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | By using singular perturbation techniques, it is shown that an exothermal reaction-diffusion system with a small parameter in long cylindrical domains admits a family of transition layer solutions. The solutions exhibit spatial inhomogeneity in two directions, one in the axis of the cylinder and the other in the cross-section of the cylindrical domain. The profile of the solutions in the cross-sectional direction is determined by a family of solutions of a non-linear elliptic eigenvalue problem, called {\it the perturbed Gelfand problem}. On the other hand, the profile of the solutions in the axial direction of the cylindrical domain has a sharp transition layer. The stability analysis is also carried out for the equilibrium solutions, which reveals that a Hopf-bifurcation occurs as some control parameters are varied, exhibiting spatio-temporal oscillations. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 3, 号 1, p. 109-179, 発行日 1996 |
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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 | ||||||
MR1414623 | ||||||
Mathmatical Subject Classification | ||||||
35B25(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
35B4(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
35K57(MSC1991) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
1995-03-09 |