{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:48:51Z","timestamp":1777448931560,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3-4","license":[{"start":{"date-parts":[[2012,4,1]],"date-time":"2012-04-01T00:00:00Z","timestamp":1333238400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2012,4]]},"abstract":"<jats:p>In this paper, we are first interested in the compressible Navier\u2013Stokes equations with density dependent viscosities in bounded domains with non-homogeneous Dirichlet conditions. We study the well posedness of such models with density dependent viscosity coefficients in the non-stationary and in the stationary cases. We apply the last result in thin domains context, justifying the compressible Reynolds equations.<\/jats:p>","DOI":"10.3233\/asy-2011-1070","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:20:13Z","timestamp":1575055213000},"page":"193-231","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Compressible flows: New existence results and justification of the Reynolds asymptotic in thin films"],"prefix":"10.1177","volume":"76","author":[{"given":"Laurent","family":"Chupin","sequence":"first","affiliation":[{"name":"Laboratoire de Math\u00e9matiques, UMR 6620, Universit\u00e9 Blaise Pascal, Aubi\u00e8re, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R\u00e9my","family":"Sart","sequence":"additional","affiliation":[{"name":"Ecole Sup\u00e9rieure d'Ing\u00e9nieurs L\u00e9onard de Vinci, Paris La D\u00e9fense, France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2012,4,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2011-1070","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2011-1070","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:39:28Z","timestamp":1777379968000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2011-1070"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,4]]},"references-count":0,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2012,4]]}},"alternative-id":["10.3233\/ASY-2011-1070"],"URL":"https:\/\/doi.org\/10.3233\/asy-2011-1070","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,4]]}}}