{"id":"https://openalex.org/W2005995888","doi":"https://doi.org/10.1006/jdeq.2001.4161","title":"Weak Entropy Boundary Conditions for Isentropic Gas Dynamics via Kinetic Relaxation","display_name":"Weak Entropy Boundary Conditions for Isentropic Gas Dynamics via Kinetic Relaxation","publication_year":2002,"publication_date":"2002-10-01","ids":{"openalex":"https://openalex.org/W2005995888","doi":"https://doi.org/10.1006/jdeq.2001.4161","mag":"2005995888"},"language":"en","primary_location":{"id":"doi:10.1006/jdeq.2001.4161","doi":"https://doi.org/10.1006/jdeq.2001.4161","is_oa":true,"landing_page_url":"https://doi.org/10.1006/jdeq.2001.4161","pdf_url":null,"source":{"id":"https://openalex.org/S200871675","display_name":"Journal of Differential Equations","issn_l":"0022-0396","issn":["0022-0396","1090-2732"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-2","norway-2"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Differential Equations","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.1006/jdeq.2001.4161","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055189800","display_name":"Florent Berthelin","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I12449238","display_name":"Universit\u00e9 d'Orl\u00e9ans","ror":"https://ror.org/014zrew76","country_code":"FR","type":"education","lineage":["https://openalex.org/I12449238"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"F. Berthelin","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques, Universit\u00e9 d'Orl\u00e9ans, UMR 6628, BP 6759, 45067, Orl\u00e9ans cedex 2, Francef1florent.berthelin@labomath.univ-orleans.frf1"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques, Universit\u00e9 d'Orl\u00e9ans, UMR 6628, BP 6759, 45067, Orl\u00e9ans cedex 2, Francef1florent.berthelin@labomath.univ-orleans.frf1","institution_ids":["https://openalex.org/I12449238"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005991575","display_name":"Fran\u00e7ois Bouchut","orcid":"https://orcid.org/0000-0002-2545-1655","observed_orcids":["https://orcid.org/0000-0002-2545-1655"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210127506","display_name":"D\u00e9partement de math\u00e9matiques et applications","ror":"https://ror.org/03k9z2963","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I2746051580","https://openalex.org/I29607241","https://openalex.org/I4210127506"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"F. Bouchut","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques et Applications, Ecole Normale Sup\u00e9rieure et CNRS, UMR 8553, 45, rue d'Ulm, 75230, Paris cedex 05, Francef2francois.bouchut@ens.frf2"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques et Applications, Ecole Normale Sup\u00e9rieure et CNRS, UMR 8553, 45, rue d'Ulm, 75230, Paris cedex 05, Francef2francois.bouchut@ens.frf2","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210127506"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":2.7587,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.88018868,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"185","issue":"1","first_page":"251","last_page":"270"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.899399995803833,"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":0.899399995803833,"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":0.061900001019239426,"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.018200000748038292,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bgk-kinetic-model","display_name":"BGK kinetic model","score":0.7900000214576721},{"id":"https://openalex.org/keywords/isentropic-gas-dynamics","display_name":"isentropic gas dynamics","score":0.9629999995231628},{"id":"https://openalex.org/keywords/dirichlet-boundary-conditions","display_name":"Dirichlet boundary conditions","score":0.7440000176429749},{"id":"https://openalex.org/keywords/compensated-compactness","display_name":"compensated compactness","score":0.7570000290870667},{"id":"https://openalex.org/keywords/entropy-flux","display_name":"entropy flow","score":0.6159999966621399}],"concepts":[{"id":"https://openalex.org/C172959903","wikidata":"https://www.wikidata.org/wiki/Q907271","display_name":"Isentropic process","level":2,"score":0.8863465785980225},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7773726582527161},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.7507826685905457},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5820379853248596},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5665062069892883},{"id":"https://openalex.org/C95853316","wikidata":"https://www.wikidata.org/wiki/Q1144718","display_name":"Gas dynamics","level":2,"score":0.5436559915542603},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.5029539465904236},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.49761560559272766},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44628825783729553},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.40561428666114807},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.35883739590644836},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20953506231307983},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.19926124811172485},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.19031500816345215}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1006/jdeq.2001.4161","doi":"https://doi.org/10.1006/jdeq.2001.4161","is_oa":true,"landing_page_url":"https://doi.org/10.1006/jdeq.2001.4161","pdf_url":null,"source":{"id":"https://openalex.org/S200871675","display_name":"Journal of Differential Equations","issn_l":"0022-0396","issn":["0022-0396","1090-2732"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-2","norway-2"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Differential Equations","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.13.9896","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.13.9896","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.univ-orleans.fr/SCIENCES/MAPMO/publications/mapmo2001/mapmo0108.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.648.5489","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.648.5489","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://perso-math.univ-mlv.fr/users/bouchut.francois/publications/BGKbord.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1006/jdeq.2001.4161","doi":"https://doi.org/10.1006/jdeq.2001.4161","is_oa":true,"landing_page_url":"https://doi.org/10.1006/jdeq.2001.4161","pdf_url":null,"source":{"id":"https://openalex.org/S200871675","display_name":"Journal of Differential Equations","issn_l":"0022-0396","issn":["0022-0396","1090-2732"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-2","norway-2"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Differential Equations","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W70793058","https://openalex.org/W129231897","https://openalex.org/W1534086370","https://openalex.org/W1564176825","https://openalex.org/W1617977307","https://openalex.org/W1981857852","https://openalex.org/W1982305009","https://openalex.org/W1985637508","https://openalex.org/W1994710706","https://openalex.org/W1994930222","https://openalex.org/W2006424975","https://openalex.org/W2012050331","https://openalex.org/W2017042872","https://openalex.org/W2017628809","https://openalex.org/W2019422073","https://openalex.org/W2029811565","https://openalex.org/W2039997169","https://openalex.org/W2040330758","https://openalex.org/W2042618327","https://openalex.org/W2045452373","https://openalex.org/W2051014922","https://openalex.org/W2064988553","https://openalex.org/W2065075601","https://openalex.org/W2073006041","https://openalex.org/W2075610411","https://openalex.org/W2088607564","https://openalex.org/W2088655341","https://openalex.org/W2092281858","https://openalex.org/W2096223665","https://openalex.org/W2120329382","https://openalex.org/W2133414653","https://openalex.org/W2471141189","https://openalex.org/W3021722416","https://openalex.org/W4285719527","https://openalex.org/W6679822873","https://openalex.org/W6719425838","https://openalex.org/W6720856627"],"related_works":["https://openalex.org/W2783879869","https://openalex.org/W2041664202","https://openalex.org/W2113623746","https://openalex.org/W2078884646","https://openalex.org/W1998295555","https://openalex.org/W2287785514","https://openalex.org/W2783613418","https://openalex.org/W2575497488","https://openalex.org/W4240963738","https://openalex.org/W3181954191"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-09-16T18:09:00.828671","created_date":"2025-10-10T00:00:00"}
