{"id":"https://openalex.org/W2101873481","doi":"https://doi.org/10.3233/asy-2011-1070","title":"Compressible flows: New existence results and justification of the Reynolds asymptotic in thin films","display_name":"Compressible flows: New existence results and justification of the Reynolds asymptotic in thin films","publication_year":2012,"publication_date":"2012-04-01","ids":{"openalex":"https://openalex.org/W2101873481","doi":"https://doi.org/10.3233/asy-2011-1070","mag":"2101873481"},"language":"en","primary_location":{"id":"doi:10.3233/asy-2011-1070","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2011-1070","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048482854","display_name":"Laurent Chupin","orcid":"https://orcid.org/0000-0002-4221-0095"},"institutions":[{"id":"https://openalex.org/I198244214","display_name":"Universit\u00e9 Clermont Auvergne","ror":"https://ror.org/01a8ajp46","country_code":"FR","type":"education","lineage":["https://openalex.org/I198244214"]},{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques Blaise Pascal","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Laurent Chupin","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques, UMR 6620, Universit\u00e9 Blaise Pascal, Aubi\u00e8re, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques, UMR 6620, Universit\u00e9 Blaise Pascal, Aubi\u00e8re, France","institution_ids":["https://openalex.org/I4210155549","https://openalex.org/I198244214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026251310","display_name":"R\u00e9my Sart","orcid":null},"institutions":[{"id":"https://openalex.org/I4210141169","display_name":"Ecole Sup\u00e9rieure d'Ing\u00e9nieurs L\u00e9onard de Vinci","ror":"https://ror.org/04sgy3p75","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210121459","https://openalex.org/I4210141169"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"R\u00e9my Sart","raw_affiliation_strings":["Ecole Sup\u00e9rieure d'Ing\u00e9nieurs L\u00e9onard de Vinci, Paris La D\u00e9fense, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ecole Sup\u00e9rieure d'Ing\u00e9nieurs L\u00e9onard de Vinci, Paris La D\u00e9fense, France","institution_ids":["https://openalex.org/I4210141169"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5048482854"],"corresponding_institution_ids":["https://openalex.org/I198244214","https://openalex.org/I4210155549"],"apc_list":null,"apc_paid":null,"fwci":0.8182,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.71386133,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"76","issue":"3-4","first_page":"193","last_page":"231"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/reynolds-number","display_name":"Reynolds number","score":0.6255202889442444},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.6122365593910217},{"id":"https://openalex.org/keywords/reynolds-equation","display_name":"Reynolds equation","score":0.5893969535827637},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.5613839030265808},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.3673381209373474},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3658679127693176},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3442828059196472},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.32964688539505005},{"id":"https://openalex.org/keywords/turbulence","display_name":"Turbulence","score":0.12566933035850525}],"concepts":[{"id":"https://openalex.org/C182748727","wikidata":"https://www.wikidata.org/wiki/Q178932","display_name":"Reynolds number","level":3,"score":0.6255202889442444},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.6122365593910217},{"id":"https://openalex.org/C157334427","wikidata":"https://www.wikidata.org/wiki/Q7319639","display_name":"Reynolds equation","level":4,"score":0.5893969535827637},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5613839030265808},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3673381209373474},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3658679127693176},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3442828059196472},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.32964688539505005},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.12566933035850525}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/asy-2011-1070","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2011-1070","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1443873450","display_name":"Analyse et Calcul des Effets de Rugosit\u00e9 sur les Ecoulements","funder_award_id":"ANR-08-JCJC-0104","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W100168077","https://openalex.org/W1969543804","https://openalex.org/W1970139181","https://openalex.org/W1997482974","https://openalex.org/W2013484458","https://openalex.org/W2015368175","https://openalex.org/W2024192716","https://openalex.org/W2024482949","https://openalex.org/W2030587235","https://openalex.org/W2040695198","https://openalex.org/W2058943328","https://openalex.org/W2067286816","https://openalex.org/W2078187711","https://openalex.org/W2093508578","https://openalex.org/W2127065883","https://openalex.org/W2989195467","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2012983134","https://openalex.org/W4388599312","https://openalex.org/W2053355289","https://openalex.org/W4205276374","https://openalex.org/W2368811332","https://openalex.org/W2090218458","https://openalex.org/W2324719679","https://openalex.org/W2044068067","https://openalex.org/W3217400126","https://openalex.org/W2390251251"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"are":[4],"first":[5],"interested":[6],"in":[7,16,36,40,49],"the":[8,25,37,41,46,54],"compressible":[9,55],"Navier\u2013Stokes":[10],"equations":[11],"with":[12,19,31],"density":[13,32],"dependent":[14,33],"viscosities":[15],"bounded":[17],"domains":[18,51],"non-homogeneous":[20],"Dirichlet":[21],"conditions.":[22],"We":[23,44],"study":[24],"well":[26],"posedness":[27],"of":[28],"such":[29],"models":[30],"viscosity":[34],"coefficients":[35],"non-stationary":[38],"and":[39],"stationary":[42],"cases.":[43],"apply":[45],"last":[47],"result":[48],"thin":[50],"context,":[52],"justifying":[53],"Reynolds":[56],"equations.":[57]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-06-23T06:36:01.041984","created_date":"2025-10-10T00:00:00"}
