{"id":"https://openalex.org/W2062142591","doi":"https://doi.org/10.1137/s0036141002411490","title":"A Multiclass Homogenized Hyperbolic Model of Traffic Flow","display_name":"A Multiclass Homogenized Hyperbolic Model of Traffic Flow","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2062142591","doi":"https://doi.org/10.1137/s0036141002411490","mag":"2062142591"},"language":"en","primary_location":{"id":"doi:10.1137/s0036141002411490","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036141002411490","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/A5039331556","display_name":"Patrizia Bagnerini","orcid":"https://orcid.org/0000-0003-1743-1512"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"P. Bagnerini","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5072780317","display_name":"M. Rascle","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Rascle","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.3169,"has_fulltext":false,"cited_by_count":67,"citation_normalized_percentile":{"value":0.97443684,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"35","issue":"4","first_page":"949","last_page":"973"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10524","display_name":"Traffic control and management","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10524","display_name":"Traffic control and management","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T11500","display_name":"Evacuation and Crowd Dynamics","score":0.9294000267982483,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9275000095367432,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7556681632995605},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7555885314941406},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.7459221482276917},{"id":"https://openalex.org/keywords/microscopic-traffic-flow-model","display_name":"Microscopic traffic flow model","score":0.5745512247085571},{"id":"https://openalex.org/keywords/homogenization","display_name":"Homogenization (climate)","score":0.5617020726203918},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5386777520179749},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4971635639667511},{"id":"https://openalex.org/keywords/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.4510877728462219},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44345685839653015},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.4268607199192047},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3985957205295563},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1983773410320282},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.16265547275543213},{"id":"https://openalex.org/keywords/traffic-generation-model","display_name":"Traffic generation model","score":0.11307185888290405},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08861121535301208}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7556681632995605},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7555885314941406},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.7459221482276917},{"id":"https://openalex.org/C205269179","wikidata":"https://www.wikidata.org/wiki/Q17144160","display_name":"Microscopic traffic flow model","level":3,"score":0.5745512247085571},{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.5617020726203918},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5386777520179749},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4971635639667511},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.4510877728462219},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44345685839653015},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4268607199192047},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3985957205295563},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1983773410320282},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.16265547275543213},{"id":"https://openalex.org/C176715033","wikidata":"https://www.wikidata.org/wiki/Q2080768","display_name":"Traffic generation model","level":2,"score":0.11307185888290405},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08861121535301208},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/s0036141002411490","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036141002411490","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:10.1.1.57.6163","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.57.6163","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.77.678","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.77.678","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.hyke.org/preprint/2003/07/077.ps","raw_type":"text"},{"id":"pmh:oai:iris.unige.it:11567/214022","is_oa":false,"landing_page_url":"https://hdl.handle.net/11567/214022","pdf_url":null,"source":{"id":"https://openalex.org/S4377196291","display_name":"CINECA IRIS Institutial Research Information System (University of Genoa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I83816512","host_organization_name":"University of Genoa","host_organization_lineage":["https://openalex.org/I83816512"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.550000011920929,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W63101075","https://openalex.org/W305332711","https://openalex.org/W1181980667","https://openalex.org/W1524203899","https://openalex.org/W1532515344","https://openalex.org/W1556837715","https://openalex.org/W1571871558","https://openalex.org/W1583897000","https://openalex.org/W1587459041","https://openalex.org/W1588430195","https://openalex.org/W1593038947","https://openalex.org/W1600967930","https://openalex.org/W1639449914","https://openalex.org/W1964672341","https://openalex.org/W1965765437","https://openalex.org/W1972578258","https://openalex.org/W1982194338","https://openalex.org/W1985997661","https://openalex.org/W1986788497","https://openalex.org/W1999447349","https://openalex.org/W2024998495","https://openalex.org/W2029465969","https://openalex.org/W2034976587","https://openalex.org/W2038327721","https://openalex.org/W2038831503","https://openalex.org/W2046162815","https://openalex.org/W2055374326","https://openalex.org/W2056138668","https://openalex.org/W2070936113","https://openalex.org/W2073078790","https://openalex.org/W2076319278","https://openalex.org/W2080132243","https://openalex.org/W2082427418","https://openalex.org/W2086453056","https://openalex.org/W2090076044","https://openalex.org/W2092412082","https://openalex.org/W2119826175","https://openalex.org/W2120378838","https://openalex.org/W2124298315","https://openalex.org/W2130448123","https://openalex.org/W2164832539","https://openalex.org/W2264401660","https://openalex.org/W2280409710","https://openalex.org/W3214949967","https://openalex.org/W4229588332","https://openalex.org/W4255388216","https://openalex.org/W4285719527","https://openalex.org/W4388322678"],"related_works":["https://openalex.org/W2104620528","https://openalex.org/W140119233","https://openalex.org/W2006251942","https://openalex.org/W2757910772","https://openalex.org/W4249473811","https://openalex.org/W2394422079","https://openalex.org/W2364741597","https://openalex.org/W1492688905","https://openalex.org/W2524071042","https://openalex.org/W2792985587"],"abstract_inverted_index":{"We":[0,30,105],"introduce":[1],"a":[2,39,58,118],"new":[3],"homogenized":[4,99,135],"hyperbolic":[5],"(multiclass)":[6],"traffic":[7],"flow":[8],"model,":[9],"which":[10],"allows":[11],"us":[12],"to":[13,52],"take":[14],"into":[15],"account":[16],"the":[17,32,45,54,64,68,71,74,79,98,108,111,132,139,143],"behaviors":[18],"of":[19,22,70,73,117,142],"different":[20,75],"type":[21],"vehicles":[23],"(cars,":[24],"trucks,":[25],"buses,":[26],"etc.)":[27],"and":[28,42,60,95,103],"drivers.":[29],"discretize":[31],"starting":[33],"Lagrangian":[34],"system":[35],"introduced":[36],"below":[37],"with":[38,122],"Godunov":[40],"scheme,":[41],"we":[43,96,129],"let":[44],"mesh":[46],"size":[47],"h":[48],"in":[49,78,90,93,126],"(x,t)":[50],"go":[51],"0:":[53],"typical":[55],"length":[56],"(of":[57],"vehicle)":[59],"time":[61],"vanish.":[62],"Therefore,":[63],"variables---here":[65],"(w,a)---which":[66],"describe":[67,97],"heterogeneity":[69],"reactions":[72],"car-driver":[76],"pairs":[77],"traffic,":[80],"develop":[81],"large":[82],"oscillations":[83,89],"when":[84],"$h\\rightarrow":[85],"0$.":[86],"These":[87],"(known)":[88],"(w,a)":[91],"persist":[92],"time,":[94],"relations":[100],"between":[101],"velocity":[102,109],"density.":[104],"show":[106],"that":[107,131],"is":[110,137],"unique":[112],"solution":[113],"\"\u00e0":[114],"la":[115],"Kruzkov\"":[116],"scalar":[119],"conservation":[120],"law,":[121],"variable":[123],"coefficients,":[124],"discontinuous":[125],"x.":[127],"Finally,":[128],"prove":[130],"same":[133],"macroscopic":[134],"model":[136],"also":[138],"hydrodynamic":[140],"limit":[141],"corresponding":[144],"multiclass":[145],"Follow-the-Leader":[146],"model.":[147]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
