{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,3]],"date-time":"2026-03-03T05:19:07Z","timestamp":1772515147484,"version":"3.50.1"},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013,10,1]]},"abstract":"<jats:title>Abstract.<\/jats:title><jats:p>\nExistence and uniqueness of generalized solutions\nto initial value problems for a class of abstract\ndifferential-algebraic equations (DAEs) is shown.\nThe class of equations covers, in particular, the Stokes and Oseen problem\ndescribing the motion of an incompressible\nor nearly incompressible Newtonian fluid\nbut also their spatial semi-discretization.\nThe equations are governed by a block operator matrix\nwith entries that fulfill suitable inf-sup conditions. The problem data are\nrequired to satisfy appropriate consistency conditions.\nThe results in infinite dimensions are compared in detail\nwith those known for the DAEs that arise after semi-discretization in space.\nExplicit solution formulas are derived in both cases.\n<\/jats:p>","DOI":"10.1515\/cmam-2013-0018","type":"journal-article","created":{"date-parts":[[2013,10,1]],"date-time":"2013-10-01T02:31:54Z","timestamp":1380594714000},"page":"443-470","source":"Crossref","is-referenced-by-count":31,"title":["Operator Differential-Algebraic Equations Arising in Fluid Dynamics"],"prefix":"10.1515","volume":"13","author":[{"given":"Etienne","family":"Emmrich","sequence":"first","affiliation":[{"name":"1Institut f\u00fcr Mathematik, TU Berlin, Stra\u00dfe des 17.\u00a0Juni 136, 10623 Berlin, Germany"}]},{"given":"Volker","family":"Mehrmann","sequence":"additional","affiliation":[{"name":"2Institut f\u00fcr Mathematik, TU Berlin, Stra\u00dfe des 17.\u00a0Juni 136, 10623 Berlin, Germany"}]}],"member":"374","container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/13\/4\/article-p443.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/downloadpdf\/journals\/cmam\/13\/4\/article-p443.xml","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,2,28]],"date-time":"2021-02-28T03:03:45Z","timestamp":1614481425000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2013-0018\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,10,1]]},"references-count":0,"journal-issue":{"issue":"4"},"URL":"https:\/\/doi.org\/10.1515\/cmam-2013-0018","relation":{},"ISSN":["1609-4840","1609-9389"],"issn-type":[{"value":"1609-4840","type":"print"},{"value":"1609-9389","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,10,1]]}}}