{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T13:11:22Z","timestamp":1772284282724,"version":"3.50.1"},"reference-count":0,"publisher":"SAGE Publications","issue":"1-2","license":[{"start":{"date-parts":[[2011,10,1]],"date-time":"2011-10-01T00:00:00Z","timestamp":1317427200000},"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":[[2011,10]]},"abstract":"<jats:p> It is shown that the anelastic Oberbeck\u2013Boussinesq system is a small Mach, small P\u00e9clet and small Froude number limit of the complete Navier\u2013Stokes\u2013Fourier system for gases with large specific heat at constant volume. This result is obtained on an arbitrary large time interval. The proof allows an intrinsic view into the process of separation of fast oscillating acoustic waves, governed by a Lighthill-type equation, from the equations describing the slow fluid flows. This is a very useful information for numerical analysts. <\/jats:p>","DOI":"10.3233\/asy-2011-1056","type":"journal-article","created":{"date-parts":[[2019,11,30]],"date-time":"2019-11-30T00:18:43Z","timestamp":1575073123000},"page":"93-123","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["Rigorous derivation of the anelastic approximation to the Oberbeck\u2013Boussinesq equations"],"prefix":"10.1177","volume":"75","author":[{"given":"Anton\u00edn","family":"Novotn\u00fd","sequence":"first","affiliation":[{"name":"Universit\u00e9 du Sud Toulon-Var, BP 132, F-83957 La Garde Cedex, France"}]},{"given":"Michael","family":"R\u016f\u017ei\u010dka","sequence":"additional","affiliation":[{"name":"Angewandte Mathematik, Universit\u00e4t Freiburg, Eckerstr. 1, D-79104 Freiburg, Germany"}]},{"given":"Gudrun","family":"Th\u00e4ter","sequence":"additional","affiliation":[{"name":"Angewandte Mathematik IV, Universit\u00e4t Karlsruhe, D-76128 Karlsruhe, Germany"}]}],"member":"179","published-online":{"date-parts":[[2011,10,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2011-1056","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2011-1056","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,11]],"date-time":"2025-03-11T07:03:23Z","timestamp":1741676603000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2011-1056"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,10]]},"references-count":0,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2011,10]]}},"alternative-id":["10.3233\/ASY-2011-1056"],"URL":"https:\/\/doi.org\/10.3233\/asy-2011-1056","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,10]]}}}