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The dynamics of a degenerate reaction diffusion equation
http://hdl.handle.net/2261/1576
http://hdl.handle.net/2261/1576d08cfe16-e493-4db0-a307-f2324fbefe5d
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms010301.pdf (349.3 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2008-03-04 | |||||
| タイトル | ||||||
| タイトル | The dynamics of a degenerate reaction diffusion equation | |||||
| 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 |
Angenent, Sigurd B.
× Angenent, Sigurd B. |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We consider the initial-boundary value problem for a degenerate reaction diffusion equation consisting of the porous medium operator plus a nonlinear reaction term. The structure of the set of equilibria depends on the length of the spatial domain. There are two critical lengths $\scriptstyle 0L_1$. Using a topological argument we show existence of connecting orbits joining the unstable equilibrium with the two stable equilibria for $\scriptstyle L\in(L_0, L_1]$, when there are three equilibria. By showing that the principle of linearized stability can sometimes be applied with succes to degenerate parabolic equations, these connections are found to be unique for $\scriptstyle L_0 | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 1, 号 3, p. 471-524, 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Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| MR1322689 | ||||||
| Mathmatical Subject Classification | ||||||
| 35B32(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 35B40(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 58F10(MSC1991) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 1993-12-06 | ||||||
