{"id":"https://openalex.org/W2948219639","doi":"https://doi.org/10.1137/18m1179924","title":"Global Conic Shock Wave for the Steady Supersonic Flow Past a Curved Cone","display_name":"Global Conic Shock Wave for the Steady Supersonic Flow Past a Curved Cone","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2948219639","doi":"https://doi.org/10.1137/18m1179924","mag":"2948219639"},"language":"en","primary_location":{"id":"doi:10.1137/18m1179924","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1179924","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/A5079577517","display_name":"Dian Hu","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Dian Hu","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5101561520","display_name":"Yongqian Zhang","orcid":"https://orcid.org/0000-0002-5498-5867"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yongqian Zhang","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079577517"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.9821,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.91224607,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"51","issue":"3","first_page":"2372","last_page":"2389"},"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9990000128746033,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9980000257492065,"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":0.698502779006958},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.6872433423995972},{"id":"https://openalex.org/keywords/conic-section","display_name":"Conic section","score":0.6853445172309875},{"id":"https://openalex.org/keywords/generatrix","display_name":"Generatrix","score":0.6583775877952576},{"id":"https://openalex.org/keywords/supersonic-speed","display_name":"Supersonic speed","score":0.6219979524612427},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5897135734558105},{"id":"https://openalex.org/keywords/shock-wave","display_name":"Shock wave","score":0.5688282251358032},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5516977906227112},{"id":"https://openalex.org/keywords/choked-flow","display_name":"Choked flow","score":0.5396471619606018},{"id":"https://openalex.org/keywords/shock","display_name":"Shock (circulatory)","score":0.5238927602767944},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4755301773548126},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.44353875517845154},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.42161160707473755},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3013136386871338}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.698502779006958},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.6872433423995972},{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.6853445172309875},{"id":"https://openalex.org/C2778589270","wikidata":"https://www.wikidata.org/wiki/Q549388","display_name":"Generatrix","level":2,"score":0.6583775877952576},{"id":"https://openalex.org/C205991772","wikidata":"https://www.wikidata.org/wiki/Q221337","display_name":"Supersonic speed","level":2,"score":0.6219979524612427},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5897135734558105},{"id":"https://openalex.org/C70477161","wikidata":"https://www.wikidata.org/wiki/Q190688","display_name":"Shock wave","level":2,"score":0.5688282251358032},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5516977906227112},{"id":"https://openalex.org/C197482802","wikidata":"https://www.wikidata.org/wiki/Q3523932","display_name":"Choked flow","level":3,"score":0.5396471619606018},{"id":"https://openalex.org/C2781300812","wikidata":"https://www.wikidata.org/wiki/Q178061","display_name":"Shock (circulatory)","level":2,"score":0.5238927602767944},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4755301773548126},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.44353875517845154},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.42161160707473755},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3013136386871338},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/18m1179924","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1179924","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":[],"awards":[{"id":"https://openalex.org/G6119115988","display_name":null,"funder_award_id":"B08018","funder_id":"https://openalex.org/F4320327912","funder_display_name":"Higher Education Discipline Innovation Project"},{"id":"https://openalex.org/G6790503282","display_name":null,"funder_award_id":"11401209","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8514182365","display_name":null,"funder_award_id":"11421061","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8751231661","display_name":null,"funder_award_id":"222201514323","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320327912","display_name":"Higher Education Discipline Innovation Project","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1975831307","https://openalex.org/W1975868805","https://openalex.org/W1985600324","https://openalex.org/W1985818596","https://openalex.org/W1990572924","https://openalex.org/W1992528736","https://openalex.org/W2012925462","https://openalex.org/W2014250706","https://openalex.org/W2025334356","https://openalex.org/W2041423792","https://openalex.org/W2063575794","https://openalex.org/W2066784287","https://openalex.org/W2073088548"],"related_works":["https://openalex.org/W3119298418","https://openalex.org/W288999701","https://openalex.org/W3046912805","https://openalex.org/W2086718032","https://openalex.org/W811836655","https://openalex.org/W3103795021","https://openalex.org/W1986240054","https://openalex.org/W1517637992","https://openalex.org/W592105277","https://openalex.org/W2116823285"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,83],"establish":[4],"the":[5,32,38,42,45,80,85,90],"global":[6,91],"existence":[7],"of":[8,31,44],"a":[9,16,21,25,56,62,72],"steady":[10,26],"symmetric":[11,22],"conic":[12],"shock":[13],"wave":[14],"when":[15],"supersonic":[17],"incoming":[18,33],"flow":[19,34],"hits":[20],"cone":[23,46],"for":[24,79],"potential":[27],"flow.":[28],"The":[29],"speed":[30],"is":[35,47,76],"close":[36],"to":[37,49,60,88],"limit":[39],"speed,":[40],"and":[41,59],"generatrix":[43],"assumed":[48],"have":[50,61],"an":[51],"attack":[52],"angle":[53],"less":[54],"than":[55],"critical":[57],"value":[58],"decay":[63],"rate":[64],"on":[65,71],"its":[66],"second":[67],"order":[68],"derivatives.":[69],"Based":[70],"background":[73],"solution,":[74],"which":[75],"introduced":[77],"here":[78],"first":[81],"time,":[82],"apply":[84],"characteristic":[86],"method":[87],"construct":[89],"solution.":[92]},"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":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
