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Non-stationary Navier-Stokes Equations with Mixed Boundary Conditions
http://hdl.handle.net/2261/00074374
http://hdl.handle.net/2261/00074374d8900b51-4190-49e6-8f7d-e8130a9c1c64
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms240201.pdf (230.7 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2018-04-04 | |||||
| タイトル | ||||||
| タイトル | Non-stationary Navier-Stokes Equations with Mixed Boundary Conditions | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Navier-Stokes equations | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Pressure | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Stress | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Rotation | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Slip | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Mixed boundary | |||||
| 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 | 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 problem of the 2, 3-D Navier-Stokes equations with mixed boundary conditions including conditions for velocity, static pressure, stress, rotation and Navier slip condition together. Under a compatibility condition at the initial instance it is proved that for the small data there exists a unique solution on the given interval of time. Also, it is proved that if a solution is given, then there exists a unique solution for small perturbed data satisfying the compatibility condition. Our smoothness condition for initial functions in the compatibility condition is weaker than one in such a previous result. | |||||
| 書誌情報 |
Journal of Mathematical Sciences The University of Tokyo 巻 24, 号 2, p. 159-194, 発行日 2017-03-21 |
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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 | |||||
| 著者版フラグ | ||||||
| 値 | publisher | |||||
| Mathmatical Subject Classification | ||||||
| 35Q30(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 35A02(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 35A15(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 76D03(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 76D05(MSC2010) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2016-02-23 | ||||||
