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  1. D200 大学院多元数理科学研究科
  2. D200a 雑誌掲載論文
  3. 学術雑誌

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/2237/00029099
0adf5792-1af3-41d6-bf2e-979f3c6fd174
名前 / ファイル ライセンス アクション
hishida-maremonti-3apr2017.pdf hishida-maremonti-3apr2017 (232.5 kB)
Item type 学術雑誌論文 / Journal Article(1)
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

WEKO 88100

en Hishida, Toshiaki

Search repository
Maremonti, Paolo

× Maremonti, Paolo

WEKO 88101

en Maremonti, Paolo

Search repository
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
著者版フラグ
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