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On Leray's Problem for Almost Periodic Flows
http://hdl.handle.net/2261/54910
http://hdl.handle.net/2261/54910915f26e2-2a2b-4e16-befa-28c42dd4a3ce
名前 / ファイル | ライセンス | アクション |
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jms190103.pdf (413.8 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2013-06-19 | |||||
タイトル | ||||||
タイトル | On Leray's Problem for Almost Periodic Flows | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Almost periodic flux | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | channel flow | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Leray's problem | |||||
主題Scheme | Other | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Berselli, Luigi C.
× Berselli, Luigi C.× Romito, Marco |
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著者所属 | ||||||
著者所属 | Dipartimento di Matematica Applicata, Università di Pisa | |||||
著者所属 | ||||||
著者所属 | Dipartimento di Matematica, Università di Pisa | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We prove existence and uniqueness for fully-developed (Poiseuille-type) flows in semi-infinite cylinders, in the setting of (time) almost-periodic functions. In the case of Stepanov almost-periodic functions the proof is based on a detailed variational analysis of a linear "inverse" problem, while in the Besicovitch setting the proof follows by a precise analysis in wave-numbers. Next, we use our results to construct a unique almost periodic solution to the so called "Leray's problem" concerning 3D fluid motion in two semi-infinite cylinders connected by a bounded reservoir. In the case of Stepanov functions we need a natural restriction on the size of the flux (with respect to the viscosity), while for Besicovitch solutions certain limitations on the generalised Fourier coefficients are requested. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 19, 号 1, p. 69-130, 発行日 2012-06-20 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR | ||||||
Mathmatical Subject Classification | ||||||
35Q30(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
76D03(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
35B15(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2011-11-29 |