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  1. 050 理学部
  2. 10 学術雑誌論文
  3. 10 査読済論文
  1. 0 資料タイプ別
  2. 01 学術雑誌論文

L² theory for the operator Δ+(κ×χ)・∇ in exterior domains

http://hdl.handle.net/10191/5655
http://hdl.handle.net/10191/5655
214205c4-50a1-45af-ae07-56cddcb47d90
名前 / ファイル ライセンス アクション
5_0008.pdf 5_0008.pdf (3.9 MB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2008-04-08
タイトル
タイトル L² theory for the operator Δ+(κ×χ)・∇ in exterior domains
タイトル
言語 en
タイトル L² theory for the operator Δ+(κ×χ)・∇ in exterior domains
言語
言語 eng
資源タイプ
資源 http://purl.org/coar/resource_type/c_6501
タイプ journal article
著者 Hishida, Toshiaki

× Hishida, Toshiaki

WEKO 7418

Hishida, Toshiaki

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抄録
内容記述タイプ Abstract
内容記述 In exterior domains of R^3, we consider the differential operator △+(k×x)・▽ with Dirichlet boundary condition, where k stands for the angular velocity of a rotating obstacle. We show, among others, a certain smoothing property together with estimates near t=0 of the generated semigroup (it is not an analytic one) in the space L^2. The result is not trivial because the coefficient k×x is unbounded at infinity. The proof is mainly based on a cut-off technique. The equation ∂_<iu>=△u+(k×x)・▽u can be taken as a model problem for a linearized form of the Navier-Stokes equations in a domain exterior to a rotating obstacle. This paper is a step toward an analysis of the Navier-Stokes flow in such a domain.
書誌情報 Nihonkai Mathematical Journal
en : Nihonkai Mathematical Journal

巻 11, 号 2, p. 103-135, 発行日 2000
出版者
出版者 新潟大学
ISSN
収録物識別子タイプ ISSN
収録物識別子 13419951
書誌レコードID
収録物識別子タイプ NCID
収録物識別子 AA10800960
著者版フラグ
値 publisher
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