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L² theory for the operator Δ+(κ×χ)・∇ in exterior domains
http://hdl.handle.net/10191/5655
http://hdl.handle.net/10191/5655214205c4-50a1-45af-ae07-56cddcb47d90
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
5_0008.pdf (3.9 MB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||
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| 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 | ||||||
| タイトル | L² theory for the operator Δ+(κ×χ)・∇ in exterior domains | |||||
| 言語 | en | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | journal article | |||||
| 著者 |
Hishida, Toshiaki
× 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 |
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| 出版者 | ||||||
| 出版者 | 新潟大学 | |||||
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| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13419951 | |||||
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| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA10800960 | |||||
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| 値 | publisher | |||||
