{"id":"https://openalex.org/W2047742176","doi":"https://doi.org/10.1137/s0036141003431554","title":"From Kinetic Equations to Multidimensional Isentropic Gas Dynamics Before Shocks","display_name":"From Kinetic Equations to Multidimensional Isentropic Gas Dynamics Before Shocks","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2047742176","doi":"https://doi.org/10.1137/s0036141003431554","mag":"2047742176"},"language":"en","primary_location":{"id":"doi:10.1137/s0036141003431554","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036141003431554","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical 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/A5055189800","display_name":"Florent Berthelin","orcid":null},"institutions":[{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"F. Berthelin","raw_affiliation_strings":["Universit\u00e9 de Nice Sophia Antipolis"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Nice Sophia Antipolis","institution_ids":["https://openalex.org/I201841394"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033336385","display_name":"Alexis Vasseur","orcid":null},"institutions":[{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"A. Vasseur","raw_affiliation_strings":["University of Nice Sophia Antipolis#TAB#"],"affiliations":[{"raw_affiliation_string":"University of Nice Sophia Antipolis#TAB#","institution_ids":["https://openalex.org/I201841394"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055189800"],"corresponding_institution_ids":["https://openalex.org/I201841394"],"apc_list":null,"apc_paid":null,"fwci":3.7387,"has_fulltext":false,"cited_by_count":71,"citation_normalized_percentile":{"value":0.92834891,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"36","issue":"6","first_page":"1807","last_page":"1835"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":1.0,"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":1.0,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9990000128746033,"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/isentropic-process","display_name":"Isentropic process","score":0.8269657492637634},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6644663214683533},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6431370973587036},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6112024784088135},{"id":"https://openalex.org/keywords/kinetic-energy","display_name":"Kinetic energy","score":0.5724735260009766},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4199099540710449},{"id":"https://openalex.org/keywords/gas-dynamics","display_name":"Gas dynamics","score":0.4190075099468231},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3989071249961853},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38954269886016846},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.2592236399650574},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22674906253814697},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.19548353552818298}],"concepts":[{"id":"https://openalex.org/C172959903","wikidata":"https://www.wikidata.org/wiki/Q907271","display_name":"Isentropic process","level":2,"score":0.8269657492637634},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6644663214683533},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6431370973587036},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6112024784088135},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.5724735260009766},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4199099540710449},{"id":"https://openalex.org/C95853316","wikidata":"https://www.wikidata.org/wiki/Q1144718","display_name":"Gas dynamics","level":2,"score":0.4190075099468231},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3989071249961853},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38954269886016846},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2592236399650574},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22674906253814697},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.19548353552818298},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0036141003431554","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036141003431554","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.487.7258","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.487.7258","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://rene.ma.utexas.edu/users/vasseur/preprints/berthelinvasseur.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1512919430","https://openalex.org/W1525065611","https://openalex.org/W1558534073","https://openalex.org/W1571871558","https://openalex.org/W1573547614","https://openalex.org/W1617977307","https://openalex.org/W1996940512","https://openalex.org/W1998982730","https://openalex.org/W2018277869","https://openalex.org/W2024232953","https://openalex.org/W2028172847","https://openalex.org/W2030731178","https://openalex.org/W2031801811","https://openalex.org/W2039997169","https://openalex.org/W2043798237","https://openalex.org/W2047160746","https://openalex.org/W2054989939","https://openalex.org/W2057432996","https://openalex.org/W2065075601","https://openalex.org/W2072668152","https://openalex.org/W2072696682","https://openalex.org/W2084184588","https://openalex.org/W2086788792","https://openalex.org/W2126095792","https://openalex.org/W2133414653","https://openalex.org/W2164832539","https://openalex.org/W2165098579","https://openalex.org/W2263170054","https://openalex.org/W2379456279","https://openalex.org/W2943672096","https://openalex.org/W3163608561","https://openalex.org/W4231817347","https://openalex.org/W4252960986","https://openalex.org/W4255388216"],"related_works":["https://openalex.org/W2783879869","https://openalex.org/W2153822684","https://openalex.org/W2041664202","https://openalex.org/W2331934617","https://openalex.org/W3099925930","https://openalex.org/W2018065383","https://openalex.org/W2387738704","https://openalex.org/W2018979944","https://openalex.org/W1971702062","https://openalex.org/W2091730616"],"abstract_inverted_index":{"Abstract.":[0],"This":[1],"article":[2],"is":[3,24,34,57,71,73],"devoted":[4],"to":[5,18],"the":[6,9,32,41,62],"proof":[7],"of":[8,61],"hydrodynamical":[10],"limit":[11,42],"from":[12],"kinetic":[13,55],"equations":[14],"(including":[15],"BGK-like":[16],"equations)":[17],"multidimensional":[19],"isentropic":[20],"gas":[21],"dynamics.":[22],"It":[23],"based":[25],"on":[26,40,50],"a":[27,47,68],"relative":[28],"entropy":[29],"method;":[30],"hence":[31],"derivation":[33],"valid":[35],"only":[36],"before":[37],"shocks":[38],"appear":[39],"system":[43,64],"solution.":[44],"However,":[45],"no":[46],"priori":[48],"knowledge":[49],"high":[51],"velocity":[52],"distributions":[53],"for":[54],"functions":[56],"needed.":[58],"The":[59],"case":[60],"Saint\u2013Venant":[63],"with":[65],"topography":[66],"(where":[67],"source":[69],"term":[70],"added)":[72],"included.":[74]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":11},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}