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Navier–Stokes Flow Past a Rigid Body: Attainability of Steady Solutions as Limits of Unsteady Weak Solutions, Starting and Landing Cases
http://hdl.handle.net/2237/00029099
http://hdl.handle.net/2237/000290990adf5792-1af3-41d6-bf2e-979f3c6fd174
名前 / ファイル | ライセンス | アクション |
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hishida-maremonti-3apr2017 (232.5 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2018-12-10 | |||||
タイトル | ||||||
タイトル | Navier–Stokes Flow Past a Rigid Body: Attainability of Steady Solutions as Limits of Unsteady Weak Solutions, Starting and Landing Cases | |||||
言語 | en | |||||
著者 |
Hishida, Toshiaki
× Hishida, Toshiaki× Maremonti, Paolo |
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アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
権利 | ||||||
言語 | en | |||||
権利情報 | “This is a post-peer-review, pre-copyedit version of an article published in [Journal of Mathematical Fluid Mechanics]. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00021-017-0344-3”. | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Navier–Stokes flow | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | exterior domain | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | starting problem | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | landing problem | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | steady flow | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | attainability | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Oseen semigroup | |||||
抄録 | ||||||
内容記述 | Consider the Navier–Stokes flow in 3-dimensional exterior domains, where a rigid body is translating with prescribed translational velocity −h(t)u∞ with constant vector u∞∈R^3∖{0}. Finn raised the question whether his steady solutions are attainable as limits for t→∞ of unsteady solutions starting from motionless state when h(t)=1 after some finite time and h(0)=0 (starting problem). This was affirmatively solved by Galdi et al. (Arch Ration Mech Anal 138:307–318, 1997) for small u∞. We study some generalized situation in which unsteady solutions start from large motions being in L^3. We then conclude that the steady solutions for small u∞ are still attainable as limits of evolution of those fluid motions which are found as a sort of weak solutions. The opposite situation, in which h(t)=0 after some finite time and h(0)=1 (landing problem), is also discussed. In this latter case, the rest state is attainable no matter how large u∞ is. | |||||
言語 | en | |||||
内容記述タイプ | Abstract | |||||
内容記述 | ||||||
内容記述 | ファイル公開:2019/06/01 | |||||
言語 | ja | |||||
内容記述タイプ | Other | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | Springer | |||||
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 | |||||
出版タイプ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1007/s00021-017-0344-3 | |||||
ISSN(print) | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 1422-6928 | |||||
ISSN(Online) | ||||||
収録物識別子タイプ | EISSN | |||||
収録物識別子 | 1422-6952 | |||||
書誌情報 |
Journal of Mathematical Fluid Mechanics 巻 20, 号 2, p. 771-800, 発行日 2018-06 |
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著者版フラグ | ||||||
値 | author |