{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,20]],"date-time":"2025-09-20T19:47:13Z","timestamp":1758397633947,"version":"3.38.0"},"reference-count":22,"publisher":"SAGE Publications","issue":"1-2","license":[{"start":{"date-parts":[[2019,8,12]],"date-time":"2019-08-12T00:00:00Z","timestamp":1565568000000},"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":[[2019,8,12]]},"abstract":"<jats:p> We consider a singular limit for the compressible Euler system in the low Mach number regime driven by a large external force. We show that any dissipative measure-valued solution approaches a solution of the lake equation in the asymptotic regime of low Mach and Froude numbers. The result holds for the ill-prepared initial data creating rapidly oscillating acoustic waves. We use dispersive estimates of Strichartz type to eliminate the effect of the acoustic waves in the asymptotic limit. <\/jats:p>","DOI":"10.3233\/asy-191518","type":"journal-article","created":{"date-parts":[[2019,8,13]],"date-time":"2019-08-13T15:27:40Z","timestamp":1565710060000},"page":"59-72","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["On a singular limit for the stratified compressible Euler system"],"prefix":"10.1177","volume":"114","author":[{"given":"Eduard","family":"Feireisl","sequence":"first","affiliation":[{"name":"Institute of Mathematics of the Academy of Sciences of the Czech Republic, Zitna 25, 11567, Praha 1, Czech Republic. E-mail:\u00a0"},{"name":"Technical University Berlin, Institute of Mathematics, Strasse des 17. Juni 136, 10623 Berlin, Germany"}]},{"given":"Tong","family":"Tang","sequence":"additional","affiliation":[{"name":"Institute of Mathematics of the Academy of Sciences of the Czech Republic, Zitna 25, 11567, Praha 1, Czech Republic. E-mail:\u00a0"},{"name":"Department of Mathematics, College of Sciences, Hohai University, Nanjing 210098, P.R.\u00a0China. E-mail:\u00a0"}]}],"member":"179","published-online":{"date-parts":[[2019,8,12]]},"reference":[{"doi-asserted-by":"publisher","key":"ref001","DOI":"10.1088\/0951-7715\/19\/3\/004"},{"doi-asserted-by":"publisher","key":"ref002","DOI":"10.1007\/s00033-018-0951-8"},{"key":"ref003","doi-asserted-by":"crossref","first-page":"1227","DOI":"10.2969\/jmsj\/77337733","volume":"70","author":"B\u0159ezina J.","year":"2018","journal-title":"J. Math. Soc. 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