{"id":"https://openalex.org/W2010789282","doi":"https://doi.org/10.1137/090776755","title":"The Navier\u2013Stokes\u2013Vlasov\u2013Fokker\u2013Planck System near Equilibrium","display_name":"The Navier\u2013Stokes\u2013Vlasov\u2013Fokker\u2013Planck System near Equilibrium","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2010789282","doi":"https://doi.org/10.1137/090776755","mag":"2010789282"},"language":"en","primary_location":{"id":"doi:10.1137/090776755","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090776755","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/A5107231358","display_name":"Thierry Goudon","orcid":"https://orcid.org/0000-0003-3700-9845"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Thierry Goudon","raw_affiliation_strings":["SImulations and Modeling for PArticles and Fluids"],"affiliations":[{"raw_affiliation_string":"SImulations and Modeling for PArticles and Fluids","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082426409","display_name":"Ling-Bing He","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lingbing He","raw_affiliation_strings":["Department of Mathematical Sciences"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040818448","display_name":"Ayman Moussa","orcid":"https://orcid.org/0000-0001-5802-6797"},"institutions":[{"id":"https://openalex.org/I4210150889","display_name":"Center for MathematicaL studies and their Applications","ror":"https://ror.org/05pabaz56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I11559806","https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I4210141950","https://openalex.org/I4210150889"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ayman Moussa","raw_affiliation_strings":["Centre de Math\u00e9matiques et de Leurs Applications"],"affiliations":[{"raw_affiliation_string":"Centre de Math\u00e9matiques et de Leurs Applications","institution_ids":["https://openalex.org/I4210150889"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100405781","display_name":"Ping Zhang","orcid":"https://orcid.org/0000-0001-9163-6191"},"institutions":[{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ping Zhang","raw_affiliation_strings":["Academy of Mathematics and Systems Science"],"affiliations":[{"raw_affiliation_string":"Academy of Mathematics and Systems Science","institution_ids":["https://openalex.org/I4210120485"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5107231358"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.0262,"has_fulltext":true,"cited_by_count":100,"citation_normalized_percentile":{"value":0.97670765,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"42","issue":"5","first_page":"2177","last_page":"2202"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9998999834060669,"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":0.9998999834060669,"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.996399998664856,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9937000274658203,"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/fokker\u2013planck-equation","display_name":"Fokker\u2013Planck equation","score":0.8728963732719421},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5963252186775208},{"id":"https://openalex.org/keywords/vlasov-equation","display_name":"Vlasov equation","score":0.5828771591186523},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.5311571359634399},{"id":"https://openalex.org/keywords/drag","display_name":"Drag","score":0.48177143931388855},{"id":"https://openalex.org/keywords/hypoelliptic-operator","display_name":"Hypoelliptic operator","score":0.42639413475990295},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3962424695491791},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3858954608440399},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.31726205348968506},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.20648780465126038},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.15421387553215027},{"id":"https://openalex.org/keywords/plasma","display_name":"Plasma","score":0.10032913088798523},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07662633061408997}],"concepts":[{"id":"https://openalex.org/C69123182","wikidata":"https://www.wikidata.org/wiki/Q891766","display_name":"Fokker\u2013Planck equation","level":3,"score":0.8728963732719421},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5963252186775208},{"id":"https://openalex.org/C186175660","wikidata":"https://www.wikidata.org/wiki/Q2323892","display_name":"Vlasov equation","level":3,"score":0.5828771591186523},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5311571359634399},{"id":"https://openalex.org/C72921944","wikidata":"https://www.wikidata.org/wiki/Q206621","display_name":"Drag","level":2,"score":0.48177143931388855},{"id":"https://openalex.org/C187123786","wikidata":"https://www.wikidata.org/wiki/Q4138816","display_name":"Hypoelliptic operator","level":4,"score":0.42639413475990295},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3962424695491791},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3858954608440399},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31726205348968506},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.20648780465126038},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.15421387553215027},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.10032913088798523},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07662633061408997},{"id":"https://openalex.org/C13982400","wikidata":"https://www.wikidata.org/wiki/Q1129902","display_name":"Linear differential equation","level":3,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/090776755","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090776755","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:HAL:hal-00652341v1","is_oa":false,"landing_page_url":"https://hal.inria.fr/hal-00652341","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0036-1410","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:inria-00384364v1","is_oa":false,"landing_page_url":"https://inria.hal.science/inria-00384364","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Mathematical Analysis, 2010, 42 (5), &#x27E8;10.1137/090776755&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.699999988079071,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2082826544","display_name":null,"funder_award_id":"Postdoctoral","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2519587668","display_name":null,"funder_award_id":"0421101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3193728207","display_name":"RI: Small: Early Elementary Reading Verification in Challenging Acoustic Environments","funder_award_id":"2008043","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6258415954","display_name":null,"funder_award_id":"Chinese","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6309937428","display_name":null,"funder_award_id":"10421101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321133","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W369446010","https://openalex.org/W574578250","https://openalex.org/W1591390169","https://openalex.org/W1984323626","https://openalex.org/W1990210120","https://openalex.org/W1990233096","https://openalex.org/W1994725903","https://openalex.org/W1995389117","https://openalex.org/W2001067699","https://openalex.org/W2001815174","https://openalex.org/W2003495424","https://openalex.org/W2008833708","https://openalex.org/W2013368579","https://openalex.org/W2017554246","https://openalex.org/W2018186438","https://openalex.org/W2027564485","https://openalex.org/W2039042227","https://openalex.org/W2039481916","https://openalex.org/W2040648700","https://openalex.org/W2043934169","https://openalex.org/W2044546384","https://openalex.org/W2055287230","https://openalex.org/W2056518217","https://openalex.org/W2062135433","https://openalex.org/W2065986550","https://openalex.org/W2075521344","https://openalex.org/W2090385746","https://openalex.org/W2091098121","https://openalex.org/W2091535382","https://openalex.org/W2145729192","https://openalex.org/W2198964494","https://openalex.org/W2297845504","https://openalex.org/W2321512936","https://openalex.org/W3105454053","https://openalex.org/W4252960986"],"related_works":["https://openalex.org/W2384969540","https://openalex.org/W3101856323","https://openalex.org/W2117781922","https://openalex.org/W2963942940","https://openalex.org/W2058057793","https://openalex.org/W1974770235","https://openalex.org/W2041866828","https://openalex.org/W4299443637","https://openalex.org/W2137607580","https://openalex.org/W2008436424"],"abstract_inverted_index":{"International":[0],"audience":[1]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":5}],"updated_date":"2026-03-22T08:09:32.410652","created_date":"2025-10-10T00:00:00"}
