{"created":"2021-03-01T06:59:56.294903+00:00","id":40331,"links":{},"metadata":{"_buckets":{"deposit":"31b9f8b3-8248-4c48-a69b-3a0d5b6cb5ce"},"_deposit":{"id":"40331","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40331"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040331","sets":["312:6865:7055:7061","9:504:6868:7057:7062"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1996","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"82","bibliographicPageStart":"73","bibliographicVolumeNumber":"3","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_13":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"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.","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_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","filename":"jms030105.pdf","filesize":[{"value":"112.7 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","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"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-03-04"},"publish_date":"2008-03-04","publish_status":"0","recid":"40331","relation_version_is_last":true,"title":["Perturbation of the Navier-Stokes flow in an annular domain with the non-vanishing outflow condition"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:15:38.402908+00:00"}