{"id":"https://openalex.org/W2005419851","doi":"https://doi.org/10.1137/s0036139903429671","title":"The Riemann Problem for Reversible Reactive Flows with Metastability","display_name":"The Riemann Problem for Reversible Reactive Flows with Metastability","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2005419851","doi":"https://doi.org/10.1137/s0036139903429671","mag":"2005419851"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139903429671","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139903429671","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/A5021686532","display_name":"Andrea Corli","orcid":"https://orcid.org/0000-0003-0600-4208"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Andrea Corli","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5037891818","display_name":"Haitao Fan","orcid":"https://orcid.org/0000-0002-5821-9609"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Haitao Fan","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5021686532"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3842,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.76870748,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"65","issue":"2","first_page":"426","last_page":"457"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9991000294685364,"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":0.9991000294685364,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9919999837875366,"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"}},{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9915000200271606,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/riemann-problem","display_name":"Riemann problem","score":0.9190000295639038},{"id":"https://openalex.org/keywords/riemann-solver","display_name":"Riemann solver","score":0.6961405277252197},{"id":"https://openalex.org/keywords/riemann-hypothesis","display_name":"Riemann hypothesis","score":0.635695219039917},{"id":"https://openalex.org/keywords/shock-wave","display_name":"Shock wave","score":0.5512092709541321},{"id":"https://openalex.org/keywords/volume-viscosity","display_name":"Volume viscosity","score":0.5393794178962708},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.48701244592666626},{"id":"https://openalex.org/keywords/metastability","display_name":"Metastability","score":0.4856247007846832},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.46928489208221436},{"id":"https://openalex.org/keywords/rarefaction","display_name":"Rarefaction (ecology)","score":0.45410239696502686},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3974148631095886},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.37321746349334717},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35475391149520874},{"id":"https://openalex.org/keywords/viscosity","display_name":"Viscosity","score":0.3398500978946686},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.308224618434906},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.11854732036590576},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09839174151420593}],"concepts":[{"id":"https://openalex.org/C40709475","wikidata":"https://www.wikidata.org/wiki/Q2152221","display_name":"Riemann problem","level":3,"score":0.9190000295639038},{"id":"https://openalex.org/C120796332","wikidata":"https://www.wikidata.org/wiki/Q6153788","display_name":"Riemann solver","level":3,"score":0.6961405277252197},{"id":"https://openalex.org/C199479865","wikidata":"https://www.wikidata.org/wiki/Q205966","display_name":"Riemann hypothesis","level":2,"score":0.635695219039917},{"id":"https://openalex.org/C70477161","wikidata":"https://www.wikidata.org/wiki/Q190688","display_name":"Shock wave","level":2,"score":0.5512092709541321},{"id":"https://openalex.org/C181556327","wikidata":"https://www.wikidata.org/wiki/Q4014770","display_name":"Volume viscosity","level":3,"score":0.5393794178962708},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.48701244592666626},{"id":"https://openalex.org/C89464430","wikidata":"https://www.wikidata.org/wiki/Q849516","display_name":"Metastability","level":2,"score":0.4856247007846832},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.46928489208221436},{"id":"https://openalex.org/C132705693","wikidata":"https://www.wikidata.org/wiki/Q7294543","display_name":"Rarefaction (ecology)","level":3,"score":0.45410239696502686},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3974148631095886},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.37321746349334717},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35475391149520874},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.3398500978946686},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.308224618434906},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.11854732036590576},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09839174151420593},{"id":"https://openalex.org/C53565203","wikidata":"https://www.wikidata.org/wiki/Q17146659","display_name":"Species richness","level":2,"score":0.0},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0036139903429671","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139903429671","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.unife.it:11392/1199924","is_oa":false,"landing_page_url":"http://hdl.handle.net/11392/1199924","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W285505819","https://openalex.org/W1554134448","https://openalex.org/W1976423909","https://openalex.org/W2000612434","https://openalex.org/W2003004957","https://openalex.org/W2017935165","https://openalex.org/W2031287560","https://openalex.org/W2038991247","https://openalex.org/W2059791857","https://openalex.org/W2060264993","https://openalex.org/W2067327618","https://openalex.org/W2077061939","https://openalex.org/W2086688865","https://openalex.org/W2088926276","https://openalex.org/W2120632549"],"related_works":["https://openalex.org/W3195766120","https://openalex.org/W569491316","https://openalex.org/W2036623811","https://openalex.org/W2379245068","https://openalex.org/W2161856882","https://openalex.org/W2133986346","https://openalex.org/W3174853118","https://openalex.org/W4385807557","https://openalex.org/W4387025432","https://openalex.org/W2099400260"],"abstract_inverted_index":{"A":[0],"hyperbolic":[1],"model":[2,10,80,106,148,156],"for":[3,104,109],"dynamic":[4],"phase":[5],"transitions":[6],"is":[7],"studied.":[8],"The":[9,147,155],"involves":[11],"three":[12],"phases:":[13],"liquid,":[14],"vapor,":[15],"and":[16,29,49,84,92,165,178],"a":[17],"mixture":[18],"of":[19,38,42,68,78,100,115,162],"them.":[20],"Metastable":[21],"regions":[22],"are":[23,51,55,72,81,107,119,130,175],"present":[24],"both":[25,150],"in":[26,30,87,121],"the":[27,31,36,43,66,79,101,105,116,122],"liquid":[28],"vapor":[32],"phase.":[33],"Results":[34],"on":[35,96,140],"behavior":[37,67],"traveling":[39,69],"wave":[40,70],"profiles":[41,71],"model,":[44],"involving":[45,171],"viscosity,":[46],"species":[47],"diffusion":[48],"relaxation,":[50],"obtained.":[52],"These":[53],"behaviors":[54],"consistent":[56],"with":[57],"physical":[58,117],"intuitions.":[59],"Admissibility":[60],"criteria":[61],"(kinetic":[62],"relations)":[63],"that":[64],"mimic":[65],"then":[73],"proposed.":[74],"Admissible":[75],"basic":[76],"waves":[77,174],"liquefaction,":[82],"evaporation,":[83],"isobaric":[85],"waves,":[86,98,163],"addition":[88],"to":[89,132],"Lax":[90],"shock":[91],"rarefaction":[93],"waves.":[94,167],"Based":[95],"these":[97,172],"solutions":[99,129,136,170],"Riemann":[102,111,126],"problem":[103],"constructed":[108],"general":[110],"initial":[112,127],"data.":[113],"Most":[114],"phenomena":[118],"embodied":[120],"solver.":[123],"For":[124],"some":[125],"data":[128],"expected":[131],"be":[133],"nonunique.":[134],"Which":[135],"actually":[137],"appear":[138],"depends":[139],"whether":[141],"nucleation":[142],"already":[143],"occurred":[144],"or":[145],"not.":[146],"admits":[149],"solutions,":[151],"as":[152],"it":[153],"should.":[154],"also":[157,176],"has":[158],"two":[159,173],"other":[160],"types":[161],"collapsing":[164],"explosion":[166],"More":[168],"complicated":[169],"proposed":[177],"discussed.":[179]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
