{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:56:41Z","timestamp":1760245001648,"version":"build-2065373602"},"reference-count":7,"publisher":"Elsevier BV","issue":"3","license":[{"start":{"date-parts":[[2002,4,1]],"date-time":"2002-04-01T00:00:00Z","timestamp":1017619200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2002,4,1]],"date-time":"2002-04-01T00:00:00Z","timestamp":1017619200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":4125,"URL":"http:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Applied Mathematics Letters"],"published-print":{"date-parts":[[2002,4]]},"DOI":"10.1016\/s0893-9659(01)00142-2","type":"journal-article","created":{"date-parts":[[2002,10,10]],"date-time":"2002-10-10T17:49:49Z","timestamp":1034272189000},"page":"347-354","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":1,"title":["Existence and positivity of a system k-\u03b5 with a production term of the Rayleigh-Taylor type"],"prefix":"10.1016","volume":"15","author":[{"given":"O.D.","family":"Lafitte","sequence":"first","affiliation":[]}],"member":"78","reference":[{"issue":"1","key":"10.1016\/S0893-9659(01)00142-2_BIB1","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1051\/m2an:1999110","article-title":"Coupling the Stokes and the Navier Stokes equations with two scalar nonlinear parabolic equations","volume":"33","author":"Gomez Marmol","year":"1999","journal-title":"Math. Modell. Num. Anal."},{"key":"10.1016\/S0893-9659(01)00142-2_BIB2","unstructured":"B. Mohammadi and O. Pironneau, Analysis of the k-\u03b5 turbulence model, In Research in Applied Mathematics, Volume 31, Masson."},{"issue":"I","key":"10.1016\/S0893-9659(01)00142-2_BIB3","first-page":"835","article-title":"Mod\u00e8les de turbulences et \u00e9quations paraboliques","volume":"317","author":"Lewandowski","year":"1993","journal-title":"C. R. Acad. Sci"},{"issue":"2","key":"10.1016\/S0893-9659(01)00142-2_BIB4","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1142\/S0218202593000114","article-title":"Existence and positivity results for the \u03c6-\u03b8 and a modified k-\u03b5 two equations turbulence models","volume":"3","author":"Lewandowski","year":"1993","journal-title":"Math. Models and Methods in Appl. Sci."},{"key":"10.1016\/S0893-9659(01)00142-2_BIB5","doi-asserted-by":"crossref","first-page":"1685","DOI":"10.1063\/1.857576","article-title":"A k-\u03b5 model for turbulent mixing in Schock tube flows induced by Rayleigh Taylor instability","volume":"2","author":"Gauthier","year":"1990","journal-title":"Phys. Fluids A"},{"key":"10.1016\/S0893-9659(01)00142-2_BIB6","article-title":"R\u00e9sultats math\u00e9matiques connus sur le mod\u00e8le k-\u03b5 et extensions","author":"Lafitte","year":"1998","journal-title":"Note CEA 2828"},{"year":"1998","author":"Wilcox","key":"10.1016\/S0893-9659(01)00142-2_BIB7"}],"container-title":["Applied Mathematics Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0893965901001422?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0893965901001422?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:03:37Z","timestamp":1760238217000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0893965901001422"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,4]]},"references-count":7,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2002,4]]}},"alternative-id":["S0893965901001422"],"URL":"https:\/\/doi.org\/10.1016\/s0893-9659(01)00142-2","relation":{},"ISSN":["0893-9659"],"issn-type":[{"type":"print","value":"0893-9659"}],"subject":[],"published":{"date-parts":[[2002,4]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Existence and positivity of a system k-\u03b5 with a production term of the Rayleigh-Taylor type","name":"articletitle","label":"Article Title"},{"value":"Applied Mathematics Letters","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/S0893-9659(01)00142-2","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"converted-article","name":"content_type","label":"Content Type"},{"value":"Copyright \u00a9 2002 Published by Elsevier Ltd.","name":"copyright","label":"Copyright"}]}}