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A boundary control problem for the steady self-propelled motion of a rigid body in a Navier–Stokes fluid
http://hdl.handle.net/2237/27355
4f6df7ad-d332-4d9a-a425-0e34943ec2a4
名前 / ファイル | ライセンス | アクション | |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2018-02-05 | |||||
タイトル | ||||||
タイトル | A boundary control problem for the steady self-propelled motion of a rigid body in a Navier–Stokes fluid | |||||
著者 |
Hishida, Toshiaki
× Hishida, Toshiaki× Silvestre, Ana Leonor× Takahashi, Takeo |
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権利 | ||||||
権利情報 | © 2017. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 3-D Navier–Stokes equations | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Exterior domain | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Rotating body | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Self-propelled motion | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Boundary control | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Asymptotic behavior | |||||
抄録 | ||||||
内容記述 | Consider a rigid body S⊂R^3 immersed in an infinitely extended Navier–Stokes fluid. We are interested in self-propelled motions of S in the steady state regime of the system rigid body-fluid, assuming that the mechanism used by the body to reach such a motion is modeled through a distribution of velocities v□ on ∂S. If the velocity V of S is given, can we find v□ that generates V? We show that this can be solved as a control problem in which v□ is a six-dimensional control such that either Suppv□⊂Γ, an arbitrary nonempty open subset of ∂Ω, or v□⋅n|∂Ω=0. We also show that one of the self-propelled conditions implies a better summability of the fluid velocity. |
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内容記述タイプ | Abstract | |||||
出版者 | ||||||
出版者 | Elsevier | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプresource | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0294-1449 | |||||
書誌情報 |
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 巻 34, 号 6, p. 1507-1541, 発行日 2017-12 |
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著者版フラグ | ||||||
値 | author | |||||
URI | ||||||
識別子 | http://doi.org/10.1016/j.anihpc.2016.11.003 | |||||
識別子タイプ | DOI | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2237/27355 | |||||
識別子タイプ | HDL |