{"id":"https://openalex.org/W4387740148","doi":"https://doi.org/10.1137/22m1543288","title":"Derivation and Stability Analysis of a Macroscopic Multilane Model for Traffic Flow","display_name":"Derivation and Stability Analysis of a Macroscopic Multilane Model for Traffic Flow","publication_year":2023,"publication_date":"2023-10-18","ids":{"openalex":"https://openalex.org/W4387740148","doi":"https://doi.org/10.1137/22m1543288"},"language":"en","primary_location":{"id":"doi:10.1137/22m1543288","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1543288","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","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/A5056903402","display_name":"Matteo Piu","orcid":null},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Matteo Piu","raw_affiliation_strings":["Corresponding author. Department of Basic and Applied Sciences for Engineering, Sapienza - University of Rome, Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Corresponding author. Department of Basic and Applied Sciences for Engineering, Sapienza - University of Rome, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030773854","display_name":"Micha\u00ebl Herty","orcid":"https://orcid.org/0000-0002-6262-2927"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Herty","raw_affiliation_strings":["Institute of Applied Mathematics, RWTH Aachen University, Aachen, Germany"],"raw_orcid":"https://orcid.org/0000-0002-6262-2927","affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics, RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033971904","display_name":"Gabriella Puppo","orcid":"https://orcid.org/0000-0003-3953-5566"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Gabriella Puppo","raw_affiliation_strings":["Department of Mathematics, Sapienza - University of Rome, Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sapienza - University of Rome, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5056903402"],"corresponding_institution_ids":["https://openalex.org/I861853513"],"apc_list":null,"apc_paid":null,"fwci":0.1793,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.48508166,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"83","issue":"5","first_page":"2052","last_page":"2072"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10524","display_name":"Traffic control and management","score":0.9997000098228455,"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":0.9997000098228455,"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/T10698","display_name":"Transportation Planning and Optimization","score":0.9708999991416931,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11500","display_name":"Evacuation and Crowd Dynamics","score":0.9527000188827515,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.725796103477478},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5999297499656677},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5513642430305481},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5495365262031555},{"id":"https://openalex.org/keywords/microscopic-traffic-flow-model","display_name":"Microscopic traffic flow model","score":0.5075141191482544},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.501194953918457},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4602597653865814},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.45047199726104736},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4393526613712311},{"id":"https://openalex.org/keywords/traffic-flow","display_name":"Traffic flow (computer networking)","score":0.43504321575164795},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2801482081413269},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27370327711105347},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1915244162082672},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13436728715896606},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08263522386550903},{"id":"https://openalex.org/keywords/traffic-generation-model","display_name":"Traffic generation model","score":0.07949456572532654}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.725796103477478},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5999297499656677},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5513642430305481},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5495365262031555},{"id":"https://openalex.org/C205269179","wikidata":"https://www.wikidata.org/wiki/Q17144160","display_name":"Microscopic traffic flow model","level":3,"score":0.5075141191482544},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.501194953918457},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4602597653865814},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.45047199726104736},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4393526613712311},{"id":"https://openalex.org/C207512268","wikidata":"https://www.wikidata.org/wiki/Q3074551","display_name":"Traffic flow (computer networking)","level":2,"score":0.43504321575164795},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2801482081413269},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27370327711105347},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1915244162082672},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13436728715896606},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08263522386550903},{"id":"https://openalex.org/C176715033","wikidata":"https://www.wikidata.org/wiki/Q2080768","display_name":"Traffic generation model","level":2,"score":0.07949456572532654},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/22m1543288","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1543288","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:iris.uniroma1.it:11573/1700209","is_oa":false,"landing_page_url":"https://hdl.handle.net/11573/1700209","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","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":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G171175040","display_name":null,"funder_award_id":"320021702/GRK2326","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G4227797601","display_name":null,"funder_award_id":"ERS SFDdM035","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5633510957","display_name":null,"funder_award_id":"HE5386/18-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5774465177","display_name":null,"funder_award_id":"B06 of CRC1481","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7432695391","display_name":null,"funder_award_id":"333849990/IRTG-2379","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1519527152","https://openalex.org/W1998162278","https://openalex.org/W2029465969","https://openalex.org/W2049176600","https://openalex.org/W2070936113","https://openalex.org/W2093921901","https://openalex.org/W2099308299","https://openalex.org/W2118590834","https://openalex.org/W2130448123","https://openalex.org/W2948110959","https://openalex.org/W2963406308","https://openalex.org/W2965257940","https://openalex.org/W2972946967","https://openalex.org/W2981197727","https://openalex.org/W4220892399","https://openalex.org/W4322391125","https://openalex.org/W4383505278"],"related_works":["https://openalex.org/W1906120563","https://openalex.org/W2088532502","https://openalex.org/W4376632305","https://openalex.org/W2368210942","https://openalex.org/W1521507142","https://openalex.org/W2126403470","https://openalex.org/W2612093077","https://openalex.org/W2052374615","https://openalex.org/W3131219808","https://openalex.org/W2160506827"],"abstract_inverted_index":{"The":[0,39,52,65],"mathematical":[1],"modeling":[2],"and":[3,49,76,79],"the":[4,11,55,58,61,70,74,80,83],"stability":[5,56,84],"analysis":[6,53],"of":[7,35,54,57,60,82],"multilane":[8],"traffic":[9],"in":[10],"macroscopic":[12,40,75],"scale":[13],"is":[14,42,63],"considered.":[15],"We":[16],"propose":[17],"a":[18,32],"new":[19],"first":[20],"order":[21],"model":[22,62],"derived":[23,43],"from":[24],"microscopic":[25,77],"dynamics":[26],"with":[27],"lane":[28],"changing,":[29],"leading":[30],"to":[31],"coupled":[33],"system":[34],"hyperbolic":[36],"balance":[37],"laws.":[38],"limit":[41],"without":[44],"assuming":[45],"ad":[46],"hoc":[47],"space":[48],"time":[50],"scalings.":[51],"equilibria":[59],"discussed.":[64],"proposed":[66],"numerical":[67],"tests":[68],"confirm":[69],"theoretical":[71],"findings":[72],"between":[73],"modeling,":[78],"results":[81],"analysis.":[85]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2023-10-19T00:00:00"}