{"id":"https://openalex.org/W2167473116","doi":"https://doi.org/10.1137/07069211x","title":"On a Model of Multiphase Flow","display_name":"On a Model of Multiphase Flow","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2167473116","doi":"https://doi.org/10.1137/07069211x","mag":"2167473116"},"language":"en","primary_location":{"id":"doi:10.1137/07069211x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/07069211x","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/A5060211713","display_name":"Debora Amadori","orcid":"https://orcid.org/0000-0002-8939-6552"},"institutions":[{"id":"https://openalex.org/I26415053","display_name":"University of L'Aquila","ror":"https://ror.org/01j9p1r26","country_code":"IT","type":"education","lineage":["https://openalex.org/I26415053"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Debora Amadori","raw_affiliation_strings":["University of L'Aquila"],"affiliations":[{"raw_affiliation_string":"University of L'Aquila","institution_ids":["https://openalex.org/I26415053"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021686532","display_name":"Andrea Corli","orcid":"https://orcid.org/0000-0003-0600-4208"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andrea Corli","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5060211713"],"corresponding_institution_ids":["https://openalex.org/I26415053"],"apc_list":null,"apc_paid":null,"fwci":2.9998,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.91016091,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"40","issue":"1","first_page":"134","last_page":"166"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9994999766349792,"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.9994999766349792,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9883000254631042,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9563999772071838,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8474681377410889},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.7019343972206116},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5785679221153259},{"id":"https://openalex.org/keywords/conservation-of-mass","display_name":"Conservation of mass","score":0.5030378699302673},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.49928998947143555},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.48319709300994873},{"id":"https://openalex.org/keywords/cauchy-problem","display_name":"Cauchy problem","score":0.4787273108959198},{"id":"https://openalex.org/keywords/multiphase-flow","display_name":"Multiphase flow","score":0.4535742998123169},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4333127737045288},{"id":"https://openalex.org/keywords/two-fluid-model","display_name":"Two-fluid model","score":0.43116945028305054},{"id":"https://openalex.org/keywords/fluid-dynamics","display_name":"Fluid dynamics","score":0.4126480221748352},{"id":"https://openalex.org/keywords/two-phase-flow","display_name":"Two-phase flow","score":0.4104398488998413},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.24893569946289062},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1951676905155182},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10460925102233887}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8474681377410889},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.7019343972206116},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5785679221153259},{"id":"https://openalex.org/C157206272","wikidata":"https://www.wikidata.org/wiki/Q483948","display_name":"Conservation of mass","level":2,"score":0.5030378699302673},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49928998947143555},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.48319709300994873},{"id":"https://openalex.org/C153635880","wikidata":"https://www.wikidata.org/wiki/Q1412436","display_name":"Cauchy problem","level":3,"score":0.4787273108959198},{"id":"https://openalex.org/C2779379648","wikidata":"https://www.wikidata.org/wiki/Q1559665","display_name":"Multiphase flow","level":2,"score":0.4535742998123169},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4333127737045288},{"id":"https://openalex.org/C2780247500","wikidata":"https://www.wikidata.org/wiki/Q11838863","display_name":"Two-fluid model","level":2,"score":0.43116945028305054},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.4126480221748352},{"id":"https://openalex.org/C144308804","wikidata":"https://www.wikidata.org/wiki/Q232997","display_name":"Two-phase flow","level":3,"score":0.4104398488998413},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.24893569946289062},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1951676905155182},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10460925102233887},{"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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/07069211x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/07069211x","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:iris.unife.it:11392/470262","is_oa":false,"landing_page_url":"http://hdl.handle.net/11392/470262","pdf_url":null,"source":{"id":"https://openalex.org/S4306400369","display_name":"Institutional Research Information System University of Ferrara (University of Ferrara)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I201324441","host_organization_name":"University of Ferrara","host_organization_lineage":["https://openalex.org/I201324441"],"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":0.7200000286102295,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W20223369","https://openalex.org/W785437808","https://openalex.org/W1583897000","https://openalex.org/W1663229168","https://openalex.org/W1996669375","https://openalex.org/W2005419851","https://openalex.org/W2017935165","https://openalex.org/W2026388260","https://openalex.org/W2030852923","https://openalex.org/W2038991247","https://openalex.org/W2042771234","https://openalex.org/W2046162815","https://openalex.org/W2055057088","https://openalex.org/W2065330648","https://openalex.org/W2085399808","https://openalex.org/W2088607564","https://openalex.org/W2088926276","https://openalex.org/W2094651904","https://openalex.org/W2094940857","https://openalex.org/W2108253019","https://openalex.org/W2163199591","https://openalex.org/W4242434358"],"related_works":["https://openalex.org/W1488888950","https://openalex.org/W4240700198","https://openalex.org/W1517001366","https://openalex.org/W2577602185","https://openalex.org/W2587301085","https://openalex.org/W10626200","https://openalex.org/W2405396227","https://openalex.org/W1632811932","https://openalex.org/W2090020940","https://openalex.org/W998272608"],"abstract_inverted_index":{"We":[0],"consider":[1],"a":[2,16,48],"hyperbolic":[3],"system":[4,14],"of":[5,41,50,62],"three":[6],"conservation":[7],"laws":[8],"in":[9,24,44],"one":[10],"space":[11],"variable.":[12],"The":[13],"is":[15],"model":[17],"for":[18],"fluid":[19],"flow":[20],"allowing":[21],"phase":[22],"transitions;":[23],"this":[25],"case":[26],"the":[27,31,34,37,42,45,59,65],"state":[28],"variables":[29],"are":[30],"specific":[32],"volume,":[33],"velocity,":[35],"and":[36],"mass":[38],"density":[39],"fraction":[40],"vapor":[43],"fluid.":[46],"For":[47],"class":[49],"initial":[51],"data":[52],"having":[53],"large":[54],"total":[55],"variation":[56],"we":[57],"prove":[58],"global":[60],"existence":[61],"solutions":[63],"to":[64],"Cauchy":[66],"problem.":[67]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
