{"created":"2021-03-01T07:17:06.567978+00:00","id":37955,"links":{},"metadata":{"_buckets":{"deposit":"c924920b-7719-4113-9ca7-ce19e19b2a56"},"_deposit":{"id":"37955","owners":[],"pid":{"revision_id":0,"type":"depid","value":"37955"},"status":"published"},"_oai":{"id":"oai:tsukuba.repo.nii.ac.jp:00037955","sets":["117:5114","3:62:5586:2869"]},"item_5_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2016-07","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"7","bibliographicPageEnd":"3774","bibliographicPageStart":"3741","bibliographicVolumeNumber":"36","bibliographic_titles":[{"bibliographic_title":" Discrete and continuous dynamical systems. Series A  "}]}]},"item_5_creator_3":{"attribute_name":"著者別名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"久保, 隆徹"}],"nameIdentifiers":[{},{},{}]}]},"item_5_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":" In this paper, we prove a local in time unique existence theorem for some two phase problem of compressible and compressible barotropic viscous fluid flow without surface tension in the Lp in time and the Lq in space framework with 2<p<∞ and N<q<∞ under the assumption that the initial domain is a uniform W2−1/qq domain in RN(N≥2). After transforming a unknown time dependent domain to the initial domain by the Lagrangian transformation, we solve the problem by the contraction mapping principle with the maximal Lp-Lq regularity of the generalized Stokes operator for the compressible viscous fluid flow with free boundary condition. The key step of our method is to prove the existence of R-bounded solution operator to resolvent problem corresponding to linearized problem. The R-boundedness combined with Weis's operator valued Fourier multiplier theorem implies the generation of analytic semigroup and the maximal Lp-Lq regularity theorem.","subitem_description_type":"Abstract"}]},"item_5_publisher_27":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"American Institute of Mathematical Sciences"}]},"item_5_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"10.3934/dcds.2016.36.3741","subitem_relation_type_select":"DOI"}}]},"item_5_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"This is a pre-copy-editing, author-produced PDF of an article accepted for publication in  Discrete and continuous dynamical systems. Series A following peer review. The definitive publisher-authenticated version Pages: 3741 - 3774, Volume 36, Issue 7, July 2016 is available online at: http://dx.doi.org/10.3934/dcds.2016.36.3741."}]},"item_5_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"author"}]},"item_5_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"1078-0947","subitem_source_identifier_type":"ISSN"}]},"item_5_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11026216","subitem_source_identifier_type":"NCID"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Soga, Kohei"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Shibata, Yoshihiro"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Kubo, Takayuki"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-04-01"}],"displaytype":"detail","filename":"DCDS-A_36-7.pdf","filesize":[{"value":"242.0 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"DCDS-A_36-7","url":"https://tsukuba.repo.nii.ac.jp/record/37955/files/DCDS-A_36-7.pdf"},"version_id":"ab1e2708-7501-4150-97a4-2e756ed190e0"}]},"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":"On some two phase problem for compressible and compressible viscous fluid flow separated by sharp interface","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"On some two phase problem for compressible and compressible viscous fluid flow separated by sharp interface"}]},"item_type_id":"5","owner":"1","path":["5114","2869"],"pubdate":{"attribute_name":"公開日","attribute_value":"2016-05-13"},"publish_date":"2016-05-13","publish_status":"0","recid":"37955","relation_version_is_last":true,"title":["On some two phase problem for compressible and compressible viscous fluid flow separated by sharp interface"],"weko_creator_id":"1","weko_shared_id":5},"updated":"2022-04-27T09:07:35.973419+00:00"}