{"id":"https://openalex.org/W3006144223","doi":"https://doi.org/10.1137/19m1265041","title":"Global Weak Solutions to the Cauchy Problem for a Two-Phase Model at a Node","display_name":"Global Weak Solutions to the Cauchy Problem for a Two-Phase Model at a Node","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3006144223","doi":"https://doi.org/10.1137/19m1265041","mag":"3006144223"},"language":"en","primary_location":{"id":"doi:10.1137/19m1265041","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1265041","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":true,"oa_status":"green","oa_url":"https://hdl.handle.net/10281/294228","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049255296","display_name":"Mauro Garavello","orcid":"https://orcid.org/0000-0002-6127-8984"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mauro Garavello","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5010070467","display_name":"Francesca Marcellini","orcid":"https://orcid.org/0000-0003-1619-6565"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Francesca Marcellini","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5049255296"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1487,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.41870303,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"52","issue":"2","first_page":"1567","last_page":"1590"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10524","display_name":"Traffic control and management","score":0.9977999925613403,"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":0.9977999925613403,"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":0.9797999858856201,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9085000157356262,"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/mathematics","display_name":"Mathematics","score":0.8023748397827148},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.7896744012832642},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.6991334557533264},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.67093825340271},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.6613290905952454},{"id":"https://openalex.org/keywords/cauchy-problem","display_name":"Cauchy problem","score":0.5858508348464966},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5188880562782288},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4359573423862457},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4104793071746826},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35854625701904297}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8023748397827148},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7896744012832642},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.6991334557533264},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.67093825340271},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.6613290905952454},{"id":"https://openalex.org/C153635880","wikidata":"https://www.wikidata.org/wiki/Q1412436","display_name":"Cauchy problem","level":3,"score":0.5858508348464966},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5188880562782288},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4359573423862457},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4104793071746826},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35854625701904297},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/19m1265041","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1265041","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:boa.unimib.it:10281/294228","is_oa":true,"landing_page_url":"https://hdl.handle.net/10281/294228","pdf_url":null,"source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.unibs.it:11379/527256","is_oa":false,"landing_page_url":"http://hdl.handle.net/11379/527256","pdf_url":null,"source":{"id":"https://openalex.org/S4306400804","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Brescia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"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"},{"id":"pmh:oai:iris.unibs.it:11379/530699","is_oa":true,"landing_page_url":"https://hdl.handle.net/11379/530699","pdf_url":null,"source":{"id":"https://openalex.org/S4306400804","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Brescia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:boa.unimib.it:10281/294228","is_oa":true,"landing_page_url":"https://hdl.handle.net/10281/294228","pdf_url":null,"source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.6700000166893005,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320333369","display_name":"Gruppo Nazionale per l'Analisi Matematica, la Probabilit\u00e0 e le loro Applicazioni","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1970599443","https://openalex.org/W1981908380","https://openalex.org/W1999194790","https://openalex.org/W2002658217","https://openalex.org/W2006848512","https://openalex.org/W2007793424","https://openalex.org/W2013961309","https://openalex.org/W2024969462","https://openalex.org/W2029465969","https://openalex.org/W2030745832","https://openalex.org/W2036117273","https://openalex.org/W2040976429","https://openalex.org/W2055374326","https://openalex.org/W2064002570","https://openalex.org/W2090596467","https://openalex.org/W2092652152","https://openalex.org/W2093921901","https://openalex.org/W2119826175","https://openalex.org/W2129198375","https://openalex.org/W2130259581","https://openalex.org/W2130448123","https://openalex.org/W2155297095","https://openalex.org/W2159422899","https://openalex.org/W2579383125","https://openalex.org/W2594502696","https://openalex.org/W2617434564","https://openalex.org/W2894281061","https://openalex.org/W2963624982","https://openalex.org/W2964116252"],"related_works":["https://openalex.org/W3143691993","https://openalex.org/W2177300204","https://openalex.org/W4254441412","https://openalex.org/W2999850718","https://openalex.org/W4287548472","https://openalex.org/W2548037050","https://openalex.org/W2400581667","https://openalex.org/W2128833876","https://openalex.org/W4213342640","https://openalex.org/W2049761058"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"a":[3,10,23,63,66],"system":[4,26],"of":[5,60,79,83,93,99],"two":[6],"conservation":[7],"laws":[8],"with":[9,16,65],"Lipschitz":[11],"continuous":[12],"flow":[13],"and":[14,40,70],"deals":[15],"solutions":[17,61],"to":[18,54],"the":[19,29,77,80,91,97,100],"Cauchy":[20],"problems":[21],"at":[22,62],"node.":[24],"The":[25],"considered":[27],"is":[28],"two-phase":[30],"traffic":[31],"model,":[32],"proposed":[33],"in":[34,57,90],"[R.":[35],"M.":[36,41],"Colombo,":[37],"F.":[38],"Marcellini,":[39],"Rascle,":[42],"SIAM":[43],"J.":[44],"Appl.":[45],"Math.,":[46],"70":[47],"(2010),":[48],"pp.":[49],"2652--2666].":[50],"We":[51],"are":[52,86],"able":[53],"provide":[55],"global":[56],"time":[58],"existence":[59],"node":[64],"single":[67],"incoming":[68],"road":[69],"$m$":[71],"outgoing":[72],"roads.":[73],"Neither":[74],"assumptions":[75],"on":[76,96],"smallness":[78],"total":[81],"variation":[82],"initial":[84,101],"data":[85],"required,":[87],"as":[88],"usual":[89],"case":[92],"systems,":[94],"nor":[95],"range":[98],"data.":[102]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
