{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:46:17Z","timestamp":1777448777557,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3-4","license":[{"start":{"date-parts":[[2009,10,1]],"date-time":"2009-10-01T00:00:00Z","timestamp":1254355200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2009,10]]},"abstract":"<jats:p>The present paper deals with non-Newtonian viscoelastic flows of Oldroyd-B type in thin domains. Such geometries arise for example in the context of lubrication. More precisely, we justify rigorously the asymptotic model obtained heuristically by proving the mathematical convergence of the Navier\u2013Stokes\/Oldroyd-B system towards the asymptotic model.<\/jats:p>","DOI":"10.3233\/asy-2009-0940","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:07:22Z","timestamp":1575054442000},"page":"185-211","source":"Crossref","is-referenced-by-count":5,"title":["Viscoelastic fluids in thin domains: A mathematical proof"],"prefix":"10.1177","volume":"64","author":[{"given":"Guy","family":"Bayada","sequence":"first","affiliation":[{"name":"INSA-Lyon, Institut Camille Jordan, CNRS UMR 5208"},{"name":"INSA-Lyon, LAMCOS, CNRS UMR 5259"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Laurent","family":"Chupin","sequence":"additional","affiliation":[{"name":"INSA-Lyon, LAMCOS, CNRS UMR 5259"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"B\u00e9r\u00e9nice","family":"Grec","sequence":"additional","affiliation":[{"name":"Ecole Centrale de Lyon, Institut Camille Jordan, CNRS UMR 5208"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2009,10,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2009-0940","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2009-0940","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:38:56Z","timestamp":1777379936000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2009-0940"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,10]]},"references-count":0,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2009,10]]}},"alternative-id":["10.3233\/ASY-2009-0940"],"URL":"https:\/\/doi.org\/10.3233\/asy-2009-0940","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,10]]}}}