{"id":"https://openalex.org/W2931531289","doi":"https://doi.org/10.3934/nhm.2019015","title":"Non-local multi-class traffic flow models","display_name":"Non-local multi-class traffic flow models","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2931531289","doi":"https://doi.org/10.3934/nhm.2019015","mag":"2931531289"},"language":"en","primary_location":{"id":"doi:10.3934/nhm.2019015","is_oa":true,"landing_page_url":"https://doi.org/10.3934/nhm.2019015","pdf_url":null,"source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks &amp; Heterogeneous Media","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.3934/nhm.2019015","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038644720","display_name":"Felisia Angela Chiarello","orcid":"https://orcid.org/0000-0002-5506-9086"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Felisia Angela Chiarello","raw_affiliation_strings":["Analysis and Control of Unsteady Models for Engineering Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Analysis and Control of Unsteady Models for Engineering Sciences","institution_ids":[]}]},{"author_position":"middle","author":{"id":null,"display_name":",Inria Sophia Antipolis - M\u00e9diterran\u00e9e, Universit\u00e9 C\u00f4te d'Azur, Inria, CNRS, LJAD, 2004 route des Lucioles - BP 93, 06902 Sophia Antipolis Cedex, France","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":",Inria Sophia Antipolis - M\u00e9diterran\u00e9e, Universit\u00e9 C\u00f4te d'Azur, Inria, CNRS, LJAD, 2004 route des Lucioles - BP 93, 06902 Sophia Antipolis Cedex, France","raw_affiliation_strings":["Analysis and Control of Unsteady Models for Engineering Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Analysis and Control of Unsteady Models for Engineering Sciences","institution_ids":[]}]},{"author_position":"last","author":{"id":null,"display_name":"Paola Goatin","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Paola Goatin","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":2.1961,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.87056884,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"14","issue":"2","first_page":"371","last_page":"387"},"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":0.9965000152587891,"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":0.9904999732971191,"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/godunovs-scheme","display_name":"Godunov's scheme","score":0.7507272958755493},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6542932987213135},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6441923379898071},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6208604574203491},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.6099841594696045},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5620105266571045},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5382286310195923},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5235164761543274},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5172639489173889},{"id":"https://openalex.org/keywords/traffic-flow","display_name":"Traffic flow (computer networking)","score":0.4554429352283478},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.42877358198165894},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3826180100440979},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.36816853284835815},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3378641605377197},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.30173367261886597},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1120053231716156}],"concepts":[{"id":"https://openalex.org/C146705398","wikidata":"https://www.wikidata.org/wiki/Q4291826","display_name":"Godunov's scheme","level":3,"score":0.7507272958755493},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6542932987213135},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6441923379898071},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6208604574203491},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.6099841594696045},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5620105266571045},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5382286310195923},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5235164761543274},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5172639489173889},{"id":"https://openalex.org/C207512268","wikidata":"https://www.wikidata.org/wiki/Q3074551","display_name":"Traffic flow (computer networking)","level":2,"score":0.4554429352283478},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.42877358198165894},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3826180100440979},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.36816853284835815},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3378641605377197},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30173367261886597},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1120053231716156},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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},{"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},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3934/nhm.2019015","is_oa":true,"landing_page_url":"https://doi.org/10.3934/nhm.2019015","pdf_url":null,"source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks &amp; Heterogeneous Media","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:3270b4a5f7e74aa48f651388109c83a3","is_oa":false,"landing_page_url":"https://doaj.org/article/3270b4a5f7e74aa48f651388109c83a3","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"Networks and Heterogeneous Media, Vol 14, Iss 2, Pp 371-387 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3934/nhm.2019015","is_oa":true,"landing_page_url":"https://doi.org/10.3934/nhm.2019015","pdf_url":null,"source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks &amp; Heterogeneous Media","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.699999988079071}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2520772736","https://openalex.org/W2027379071","https://openalex.org/W177459275","https://openalex.org/W3003413378","https://openalex.org/W4236992944","https://openalex.org/W4234499290","https://openalex.org/W643187300","https://openalex.org/W3015048096","https://openalex.org/W4205200891","https://openalex.org/W2267387804"],"abstract_inverted_index":{"We":[0,24,53],"prove":[1],"the":[2,26,45,60,74],"existence":[3],"for":[4,10,44],"small":[5],"times":[6],"of":[7,13,47,62,65,76],"weak":[8],"solutions":[9],"a":[11,29],"class":[12],"non-local":[14],"systems":[15],"in":[16,21,51],"one":[17],"space":[18],"dimension,":[19],"arising":[20],"traffic":[22,79],"modeling.":[23],"approximate":[25,48],"problem":[27],"by":[28],"Godunov":[30],"type":[31],"numerical":[32,57],"scheme":[33],"and":[34,41,67],"we":[35,68],"provide":[36],"uniform":[37],"${{\\mathbf{L}}^\\infty":[38],"}":[39],"$":[40],"BV":[42],"estimates":[43],"sequence":[46],"solutions,":[49],"locally":[50],"time.":[52],"finally":[54],"present":[55],"some":[56],"simulations":[58],"illustrating":[59],"behavior":[61],"different":[63],"classes":[64],"vehicles":[66],"analyze":[69],"two":[70],"cost":[71],"functionals":[72],"measuring":[73],"dependence":[75],"congestion":[77],"on":[78],"composition.":[80]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2025-10-10T00:00:00"}
