{"id":"https://openalex.org/W2018907418","doi":"https://doi.org/10.1137/120875363","title":"Transonic Evaporation Waves in a Spherically Symmetric Nozzle","display_name":"Transonic Evaporation Waves in a Spherically Symmetric Nozzle","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2018907418","doi":"https://doi.org/10.1137/120875363","mag":"2018907418"},"language":"en","primary_location":{"id":"doi:10.1137/120875363","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120875363","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/A5101764662","display_name":"Xiao-Biao Lin","orcid":"https://orcid.org/0000-0001-6572-5545"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xiaobiao Lin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5089288259","display_name":"Martin Wechselberger","orcid":"https://orcid.org/0000-0003-2681-3440"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Martin Wechselberger","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":0.9123,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.72323242,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"46","issue":"2","first_page":"1472","last_page":"1504"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9990000128746033,"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":0.9990000128746033,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9976000189781189,"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.996999979019165,"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/transonic","display_name":"Transonic","score":0.9640851020812988},{"id":"https://openalex.org/keywords/supersonic-speed","display_name":"Supersonic speed","score":0.8300366401672363},{"id":"https://openalex.org/keywords/nozzle","display_name":"Nozzle","score":0.5347885489463806},{"id":"https://openalex.org/keywords/sonic-boom","display_name":"Sonic boom","score":0.48656928539276123},{"id":"https://openalex.org/keywords/evaporation","display_name":"Evaporation","score":0.48539695143699646},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48533645272254944},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.48038679361343384},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.4762601852416992},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4586186408996582},{"id":"https://openalex.org/keywords/choked-flow","display_name":"Choked flow","score":0.4309236407279968},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3643730580806732},{"id":"https://openalex.org/keywords/aerodynamics","display_name":"Aerodynamics","score":0.3371421694755554},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3252184987068176},{"id":"https://openalex.org/keywords/meteorology","display_name":"Meteorology","score":0.18766841292381287},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.1828242838382721}],"concepts":[{"id":"https://openalex.org/C103838597","wikidata":"https://www.wikidata.org/wiki/Q1579556","display_name":"Transonic","level":3,"score":0.9640851020812988},{"id":"https://openalex.org/C205991772","wikidata":"https://www.wikidata.org/wiki/Q221337","display_name":"Supersonic speed","level":2,"score":0.8300366401672363},{"id":"https://openalex.org/C56200935","wikidata":"https://www.wikidata.org/wiki/Q250840","display_name":"Nozzle","level":2,"score":0.5347885489463806},{"id":"https://openalex.org/C47338736","wikidata":"https://www.wikidata.org/wiki/Q333268","display_name":"Sonic boom","level":3,"score":0.48656928539276123},{"id":"https://openalex.org/C61441594","wikidata":"https://www.wikidata.org/wiki/Q132814","display_name":"Evaporation","level":2,"score":0.48539695143699646},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48533645272254944},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.48038679361343384},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.4762601852416992},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4586186408996582},{"id":"https://openalex.org/C197482802","wikidata":"https://www.wikidata.org/wiki/Q3523932","display_name":"Choked flow","level":3,"score":0.4309236407279968},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3643730580806732},{"id":"https://openalex.org/C13393347","wikidata":"https://www.wikidata.org/wiki/Q8424","display_name":"Aerodynamics","level":2,"score":0.3371421694755554},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3252184987068176},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.18766841292381287},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.1828242838382721}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/120875363","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120875363","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.47999998927116394,"display_name":"Life below water","id":"https://metadata.un.org/sdg/14"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W74344612","https://openalex.org/W99189181","https://openalex.org/W189700536","https://openalex.org/W192458744","https://openalex.org/W1532515344","https://openalex.org/W1565264866","https://openalex.org/W1969441199","https://openalex.org/W1974932669","https://openalex.org/W1976423909","https://openalex.org/W1985797955","https://openalex.org/W1986637289","https://openalex.org/W1986739294","https://openalex.org/W1987380795","https://openalex.org/W1988457076","https://openalex.org/W1993546660","https://openalex.org/W2000612434","https://openalex.org/W2009479465","https://openalex.org/W2011669849","https://openalex.org/W2016767879","https://openalex.org/W2021115967","https://openalex.org/W2025219198","https://openalex.org/W2025400741","https://openalex.org/W2028434297","https://openalex.org/W2050498656","https://openalex.org/W2055388258","https://openalex.org/W2059791857","https://openalex.org/W2081747907","https://openalex.org/W2088926276","https://openalex.org/W2093326764","https://openalex.org/W2093823001","https://openalex.org/W2116643462","https://openalex.org/W2127371986","https://openalex.org/W2134066908","https://openalex.org/W2154894922","https://openalex.org/W4232462536"],"related_works":["https://openalex.org/W2366779244","https://openalex.org/W3166410348","https://openalex.org/W1543008044","https://openalex.org/W3188807802","https://openalex.org/W4229039552","https://openalex.org/W2761883268","https://openalex.org/W3036816309","https://openalex.org/W1995212525","https://openalex.org/W4245955223","https://openalex.org/W848439203"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,12,79,83,102,112,120,130,150,154,161,165],"liquid-to-vapor":[4],"phase":[5],"transition":[6],"in":[7,16,49],"a":[8],"cone-shaped":[9],"nozzle.":[10],"Using":[11],"geometric":[13],"method":[14],"presented":[15],"[P.":[17],"Szmolyan":[18],"and":[19,31,45,52,88,132,144,157],"M.":[20],"Wechselberger,":[21],"J.":[22,56,92],"Differential":[23],"Equations,":[24],"200":[25],"(2004),":[26],"pp.":[27,37,61,97],"69--104],":[28],"[M.":[29],"Wechselberger":[30],"G.":[32],"Pettet,":[33],"Nonlinearity,":[34],"23":[35],"(2010),":[36],"1949--1969],":[38],"we":[39,100,125],"further":[40],"develop":[41],"results":[42],"on":[43,82],"subsonic":[44,142,151],"supersonic":[46,140,162],"evaporation":[47,135,145],"waves":[48,71,106,136,146],"[H.":[50,86],"Fan":[51,87],"X.-B.":[53,89],"Lin,":[54,90],"SIAM":[55,91],"Math.":[57,93],"Anal.,":[58,94],"44":[59,95],"(2012),":[60,96],"405--436]":[62],"to":[63,78,119,128,141,153],"transonic":[64,70,105],"waves.":[65],"It":[66],"is":[67],"known":[68],"that":[69,107,115,137,147],"do":[72],"not":[73],"exist":[74],"if":[75],"restricted":[76],"solely":[77],"slow":[80,84,166],"system":[81,114],"manifolds":[85],"405--436].":[98],"Thus":[99],"consider":[101],"existence":[103,131],"of":[104,111,134],"include":[108],"layer":[109],"solutions":[110],"fast":[113],"cross":[116,138],"or":[117],"connect":[118,148],"sonic":[121,155],"surface.":[122],"In":[123],"particular,":[124],"are":[126],"able":[127],"show":[129],"uniqueness":[133],"from":[139,149],"regions":[143],"region":[152],"surface":[156],"then":[158],"continue":[159],"onto":[160],"branch":[163],"via":[164],"flow.":[167]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
