{"created":"2021-03-01T06:59:56.496405+00:00","id":40334,"links":{},"metadata":{"_buckets":{"deposit":"ee78421d-290b-45d4-b105-beffcbc5fe8e"},"_deposit":{"id":"40334","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40334"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040334","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":"179","bibliographicPageStart":"109","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":"By using singular perturbation techniques, it is shown that an exothermal reaction-diffusion system with a small parameter in long cylindrical domains admits a family of transition layer solutions. The solutions exhibit spatial inhomogeneity in two directions, one in the axis of the cylinder and the other in the cross-section of the cylindrical domain. The profile of the solutions in the cross-sectional direction is determined by a family of solutions of a non-linear elliptic eigenvalue problem, called {\\it the perturbed Gelfand problem}. On the other hand, the profile of the solutions in the axial direction of the cylindrical domain has a sharp transition layer. The stability analysis is also carried out for the equilibrium solutions, which reveals that a Hopf-bifurcation occurs as some control parameters are varied, exhibiting spatio-temporal oscillations.","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":"MR1414623"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"35B25(MSC1991)"},{"subitem_text_value":"35B4(MSC1991)"},{"subitem_text_value":"35K57(MSC1991)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"1995-03-09"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Mimura, Masayasu"}],"nameIdentifiers":[{"nameIdentifier":"138931","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Sakamoto, Kunimochi"}],"nameIdentifiers":[{"nameIdentifier":"138932","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":"jms030108.pdf","filesize":[{"value":"1.2 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms030108.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40334/files/jms030108.pdf"},"version_id":"bcf7a7b4-3291-4543-bfe8-4e70afe98792"}]},"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":"Multi-dimensional transition layers for an exothermic reaction-diffusion system in long cylindrical domains","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Multi-dimensional transition layers for an exothermic reaction-diffusion system in long cylindrical domains"}]},"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":"40334","relation_version_is_last":true,"title":["Multi-dimensional transition layers for an exothermic reaction-diffusion system in long cylindrical domains"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:15:43.302632+00:00"}