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We consider this problem in an annular domain $ D = \\{ {\\Vec x} \\in {\\bf R}^2 ; R_1 \u003c |{\\Vec x}| \u003c R_2 \\},$ under the boundary condition with non-vanishing outflow. In a previous paper of the first author, an exact solution is obtained for a simple boundary condition of non-vanishing outflow type: ${\\Vec u} = \\displaystyle{μ \\over R_i} {\\Vec e}_r + b_i{\\Vec e}_θ \\ \\mbox{ on } Γ_i, \\ i=1, 2, $ where $μ,b_1,b_2$ are arbitrary constants. In this paper, we show the existence of solutions satisfying the boundary condition: $ {\\Vec u} = \\{ \\displaystyle{μ \\over {R_i}}+ \\varphi_i(θ)\\}{\\Vec e}_r + \\{b_i + ψ_i(θ)\\} {\\Vec e}_{θ} \\ \\mbox{ on } \\ Γ_i,\\ i=1, 2, $ where $\\varphi_i(θ),ψ_i(θ)$ are $2 π$-periodic smooth function of $θ$, under some additional condition.", "subitem_description_type": "Abstract"}]}, "item_4_publisher_20": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "Graduate School of Mathematical Sciences, The University of Tokyo"}]}, "item_4_source_id_10": {"attribute_name": "書誌レコードID", "attribute_value_mlt": [{"subitem_source_identifier": "AA11021653", "subitem_source_identifier_type": "NCID"}]}, "item_4_source_id_8": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "13405705", "subitem_source_identifier_type": "ISSN"}]}, "item_4_subject_15": {"attribute_name": "日本十進分類法", "attribute_value_mlt": [{"subitem_subject": "415", "subitem_subject_scheme": "NDC"}]}, "item_4_text_16": {"attribute_name": "Mathematical Reviews Number", "attribute_value_mlt": [{"subitem_text_value": "MR1414620"}]}, "item_4_text_17": {"attribute_name": "Mathmatical Subject Classification", "attribute_value_mlt": [{"subitem_text_value": "76D05(MSC1991)"}, {"subitem_text_value": "35Q30(MSC1991)"}]}, "item_4_text_33": {"attribute_name": "原稿受領日", "attribute_value_mlt": [{"subitem_text_value": "1995-02-13"}]}, "item_4_text_34": {"attribute_name": "資源タイプ", "attribute_value_mlt": [{"subitem_text_value": "Departmental Bulletin Paper"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Morimoto, Hiroko"}], "nameIdentifiers": [{"nameIdentifier": "138928", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "ファイル情報", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2017-06-27"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "jms030105.pdf", "filesize": [{"value": "112.7 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 112700.0, "url": {"label": "jms030105.pdf", "url": "https://repository.dl.itc.u-tokyo.ac.jp/record/40331/files/jms030105.pdf"}, "version_id": "a42aebe5-08cd-4546-97b8-2e2981e8304c"}]}, "item_language": {"attribute_name": "言語", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "資源タイプ", "attribute_value_mlt": [{"resourcetype": "departmental bulletin paper", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "Perturbation of the Navier-Stokes flow in an annular domain with the non-vanishing outflow condition", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Perturbation of the Navier-Stokes flow in an annular domain with the non-vanishing outflow condition"}]}, "item_type_id": "4", "owner": "1", "path": ["7061", "7062"], "permalink_uri": "http://hdl.handle.net/2261/1546", "pubdate": {"attribute_name": "公開日", "attribute_value": "2008-03-04"}, "publish_date": "2008-03-04", "publish_status": "0", "recid": "40331", "relation": {}, "relation_version_is_last": true, "title": ["Perturbation of the Navier-Stokes flow in an annular domain with the non-vanishing outflow condition"], "weko_shared_id": null}
Perturbation of the Navier-Stokes flow in an annular domain with the non-vanishing outflow condition
http://hdl.handle.net/2261/1546
http://hdl.handle.net/2261/1546c804e1fd-08b2-4f44-8a81-a51239e8198d
名前 / ファイル | ライセンス | アクション |
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jms030105.pdf (112.7 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-03-04 | |||||
タイトル | ||||||
タイトル | Perturbation of the Navier-Stokes flow in an annular domain with the non-vanishing outflow condition | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Morimoto, Hiroko
× Morimoto, Hiroko |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | The boundary value problem of the Navier-Stokes equations has been studied so far only under the vanishing outflow condition due to Leray. We consider this problem in an annular domain $ D = \{ {\Vec x} \in {\bf R}^2 ; R_1 < |{\Vec x}| < R_2 \},$ under the boundary condition with non-vanishing outflow. In a previous paper of the first author, an exact solution is obtained for a simple boundary condition of non-vanishing outflow type: ${\Vec u} = \displaystyle{μ \over R_i} {\Vec e}_r + b_i{\Vec e}_θ \ \mbox{ on } Γ_i, \ i=1, 2, $ where $μ,b_1,b_2$ are arbitrary constants. In this paper, we show the existence of solutions satisfying the boundary condition: $ {\Vec u} = \{ \displaystyle{μ \over {R_i}}+ \varphi_i(θ)\}{\Vec e}_r + \{b_i + ψ_i(θ)\} {\Vec e}_{θ} \ \mbox{ on } \ Γ_i,\ i=1, 2, $ where $\varphi_i(θ),ψ_i(θ)$ are $2 π$-periodic smooth function of $θ$, under some additional condition. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 3, 号 1, p. 73-82, 発行日 1996 |
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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 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR1414620 | ||||||
Mathmatical Subject Classification | ||||||
76D05(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
35Q30(MSC1991) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
1995-02-13 |