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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 |
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jms240201.pdf (230.7 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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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 | Navier-Stokes equations | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Pressure | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Stress | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Rotation | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Slip | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Mixed boundary | |||||
主題Scheme | Other | |||||
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 |