{"_buckets": {"deposit": "3974b9b9-c3e7-4b33-a33c-8d9674e476fe"}, "_deposit": {"id": "8573", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "8573"}, "status": "published"}, "_oai": {"id": "oai:nagoya.repo.nii.ac.jp:00008573", "sets": ["322"]}, "author_link": ["24132", "24133"], "item_10_biblio_info_6": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "1995-10", "bibliographicIssueDateType": "Issued"}, "bibliographicPageEnd": "366", "bibliographicPageStart": "339", "bibliographicVolumeNumber": "300", "bibliographic_titles": [{"bibliographic_title": "Journal of Fluid Mechanics Digital Archive", "bibliographic_titleLang": "en"}]}]}, "item_10_description_4": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "The evolution of a small but finite three-dimensional disturbance on a flat uniform vortex sheet is analysed on the basis of a Lagrangian representation of the motion.The sheet at time t is expanded in a double periodic Fourier series: R(λ-1,λ-2,t)=(λ-1,λ-2,0)+∑-n,m A-n,m exp[i(nλ-1+δmλ-2],where λ-1 and λ-2 are Langrangian parameters in the streamwise and spanwise directions, respectively, and δ is the aspect ratio of the periodic domain of the disturbance. By generalizing Moore\u0027s analysis for two-dimensional motion to three dimensions, we derive evolution equations for the Fourier coefficients A-n,-m. The behaviour of A-n,-m is investigated by both numerical integration of a set of truncated equations and a leading-order asymptotic analysis valid at large t. Both the numerical integration and the asymptotic analysis valid at large t. Both the numerical integration and the asymptotic analysis show that a singularity appears at a finite time t-c=O(1nε^{-1}) where ε is the amplitude of the initial disturbance. The singularity is such that A-n,-o=O(t-c^{-1}) behaves like n^{-5/2}, while A-n,±1=O(εt-c) behaves like n^{-3/2} for large n. The evolution of A-0,-m(spanwise mode) is also studied by an asysmptotic analysis valid at large t. The analysis shows that a singularity appears at a finite time t=O(ε^{-1}) and the singularity is characterized by A-0,-2 ∝K^{-5/2} for large K.", "subitem_description_language": "en", "subitem_description_type": "Abstract"}]}, "item_10_identifier_60": {"attribute_name": "URI", "attribute_value_mlt": [{"subitem_identifier_type": "HDL", "subitem_identifier_uri": "http://hdl.handle.net/2237/10324"}]}, "item_10_publisher_32": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "Cambridge University Press", "subitem_publisher_language": "en"}]}, "item_10_relation_11": {"attribute_name": "DOI", "attribute_value_mlt": [{"subitem_relation_type": "isVersionOf", "subitem_relation_type_id": {"subitem_relation_type_id_text": "https://doi.org/10.1017/S0022112095003715", "subitem_relation_type_select": "DOI"}}]}, "item_10_rights_12": {"attribute_name": "権利", "attribute_value_mlt": [{"subitem_rights": "Cambridge University Press", "subitem_rights_language": "en"}]}, "item_10_select_15": {"attribute_name": "著者版フラグ", "attribute_value_mlt": [{"subitem_select_item": "publisher"}]}, "item_10_source_id_7": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "0022-1120", "subitem_source_identifier_type": "PISSN"}]}, "item_10_text_14": {"attribute_name": "フォーマット", "attribute_value_mlt": [{"subitem_text_value": "application/pdf"}]}, "item_1615787544753": {"attribute_name": "出版タイプ", "attribute_value_mlt": [{"subitem_version_resource": "http://purl.org/coar/version/c_970fb48d4fbd8a85", "subitem_version_type": "VoR"}]}, "item_access_right": {"attribute_name": "アクセス権", "attribute_value_mlt": [{"subitem_access_right": "open access", "subitem_access_right_uri": "http://purl.org/coar/access_right/c_abf2"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "ISHIHARA, TAKASHI", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "24132", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "KANEDA, YUKIO", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "24133", "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": "2018-02-19"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "Ishihara_Takashi_journal_of_fluid_mechanics_v300.pdf", "filesize": [{"value": "1.1 MB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 1100000.0, "url": {"label": "Ishihara_Takashi_journal_of_fluid_mechanics_v300.pdf", "objectType": "fulltext", "url": "https://nagoya.repo.nii.ac.jp/record/8573/files/Ishihara_Takashi_journal_of_fluid_mechanics_v300.pdf"}, "version_id": "de427b17-d827-46cf-939a-58a07b7b23fd"}]}, "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": "journal article", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "Singularity formation in three-dimensional motion of a vortex sheet", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Singularity formation in three-dimensional motion of a vortex sheet", "subitem_title_language": "en"}]}, "item_type_id": "10", "owner": "1", "path": ["322"], "permalink_uri": "http://hdl.handle.net/2237/10324", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2008-08-05"}, "publish_date": "2008-08-05", "publish_status": "0", "recid": "8573", "relation": {}, "relation_version_is_last": true, "title": ["Singularity formation in three-dimensional motion of a vortex sheet"], "weko_shared_id": -1}