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Existence of Solutions to the Heat Convection Equations in a Time-dependent Domain
http://hdl.handle.net/2261/59330
http://hdl.handle.net/2261/59330d35bbade-0756-4a90-be67-51fcb58123fe
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms220202.pdf (223.9 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2016-04-05 | |||||
| タイトル | ||||||
| タイトル | Existence of Solutions to the Heat Convection Equations in a Time-dependent Domain | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Heat convection equations | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | time-dependent domain | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | mixed boundary conditions | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | existence. | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Kim, Tujin
× Kim, Tujin× Cao, Daomin |
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| 著者所属 | ||||||
| 著者所属 | Institute of Mathematics, Academy of Sciences | |||||
| 著者所属 | ||||||
| 著者所属 | Institute of Applied Mathematics, AMSS, Chinese Academy of Sciences | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | In this paper we are concerned with the initial boundary value problems of the heat convection equations in a time-dependent domain with mixed boundary conditions involving the total pressure of fluid.W e obtain the existence of a weak solution to the problem. By a transformation of unknown functions and a penalty method we connect the problem to an elliptic operator equation for functions defined in the time-dependent domain. Owing to the transformation we do not need to assume that the given data are small enough. This method is also valid for the Navier-Stokes equations with the nonstandard boundary conditions. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 22, 号 2, p. 531-568, 発行日 2015-03-31 |
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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 | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| MR | ||||||
| Mathmatical Subject Classification | ||||||
| 35Q35(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 35A01(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 76D03(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 80A20(MSC2010) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2014-06-23 | ||||||
