{"id":"https://openalex.org/W1845614515","doi":"https://doi.org/10.1137/140992217","title":"Steady Viscous Compressible Channel Flows","display_name":"Steady Viscous Compressible Channel Flows","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W1845614515","doi":"https://doi.org/10.1137/140992217","mag":"1845614515"},"language":"en","primary_location":{"id":"doi:10.1137/140992217","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140992217","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/A5034513473","display_name":"Yan Guo","orcid":"https://orcid.org/0000-0003-4706-1639"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Yan Guo","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100557052","display_name":"Song Jiang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Song Jiang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5085871793","display_name":"Chunhui Zhou","orcid":"https://orcid.org/0000-0002-2097-5580"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chunhui Zhou","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034513473"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.1498,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.90415425,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"47","issue":"5","first_page":"3648","last_page":"3670"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9925000071525574,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9891999959945679,"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":0.7738301753997803},{"id":"https://openalex.org/keywords/mach-number","display_name":"Mach number","score":0.724658727645874},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6842512488365173},{"id":"https://openalex.org/keywords/inflow","display_name":"Inflow","score":0.6590263843536377},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.5767585039138794},{"id":"https://openalex.org/keywords/reynolds-number","display_name":"Reynolds number","score":0.5670773386955261},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5183507204055786},{"id":"https://openalex.org/keywords/a-priori-estimate","display_name":"A priori estimate","score":0.492497056722641},{"id":"https://openalex.org/keywords/isentropic-process","display_name":"Isentropic process","score":0.4883996844291687},{"id":"https://openalex.org/keywords/compressible-flow","display_name":"Compressible flow","score":0.4800228178501129},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.44399285316467285},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.43982675671577454},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.38605639338493347},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2849409580230713},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18352484703063965}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7738301753997803},{"id":"https://openalex.org/C165231844","wikidata":"https://www.wikidata.org/wiki/Q160669","display_name":"Mach number","level":2,"score":0.724658727645874},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6842512488365173},{"id":"https://openalex.org/C2776132308","wikidata":"https://www.wikidata.org/wiki/Q11070850","display_name":"Inflow","level":2,"score":0.6590263843536377},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5767585039138794},{"id":"https://openalex.org/C182748727","wikidata":"https://www.wikidata.org/wiki/Q178932","display_name":"Reynolds number","level":3,"score":0.5670773386955261},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5183507204055786},{"id":"https://openalex.org/C2775918384","wikidata":"https://www.wikidata.org/wiki/Q4660961","display_name":"A priori estimate","level":2,"score":0.492497056722641},{"id":"https://openalex.org/C172959903","wikidata":"https://www.wikidata.org/wiki/Q907271","display_name":"Isentropic process","level":2,"score":0.4883996844291687},{"id":"https://openalex.org/C5192115","wikidata":"https://www.wikidata.org/wiki/Q2705141","display_name":"Compressible flow","level":3,"score":0.4800228178501129},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.44399285316467285},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.43982675671577454},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.38605639338493347},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2849409580230713},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18352484703063965},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/140992217","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140992217","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":[{"display_name":"Life below water","score":0.4699999988079071,"id":"https://metadata.un.org/sdg/14"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1966376266","https://openalex.org/W1970349938","https://openalex.org/W1979745933","https://openalex.org/W1986986128","https://openalex.org/W1991557840","https://openalex.org/W2028627366","https://openalex.org/W2030320478","https://openalex.org/W2040359509","https://openalex.org/W2049478707","https://openalex.org/W2052728445","https://openalex.org/W2057561640","https://openalex.org/W2068740901","https://openalex.org/W2073370369","https://openalex.org/W2073901178","https://openalex.org/W2078842885","https://openalex.org/W2082230023","https://openalex.org/W2094419662","https://openalex.org/W2118088901","https://openalex.org/W2275613184","https://openalex.org/W2492185385","https://openalex.org/W2963041265","https://openalex.org/W2963610925","https://openalex.org/W2963826673","https://openalex.org/W4243738351"],"related_works":["https://openalex.org/W2003759032","https://openalex.org/W2886057782","https://openalex.org/W1999987928","https://openalex.org/W1650570090","https://openalex.org/W3182950612","https://openalex.org/W1982072888","https://openalex.org/W1983059297","https://openalex.org/W4246698579","https://openalex.org/W2088380080","https://openalex.org/W2063009362"],"abstract_inverted_index":{"We":[0],"prove":[1],"the":[2,10,34,42,52,55,59],"existence":[3],"and":[4,39],"uniqueness":[5],"of":[6,41],"strong":[7],"solutions":[8],"to":[9,62],"steady":[11],"isentropic":[12],"compressible":[13],"Navier--Stokes":[14],"equations":[15],"with":[16],"inflow":[17],"boundary":[18],"condition":[19],"in":[20],"a":[21,26,36],"two-dimensional":[22],"finite":[23],"channel":[24],"near":[25],"uniform":[27],"flow.":[28],"The":[29],"proof":[30],"is":[31],"based":[32],"on":[33],"delicate":[35],"priori":[37],"estimates":[38],"exploitation":[40],"elliptic":[43],"theory.":[44],"For":[45],"our":[46],"result,":[47],"we":[48],"do":[49],"not":[50],"require":[51],"velocity,":[53],"density,":[54],"Reynolds":[56],"number,":[57],"or":[58],"Mach":[60],"number":[61],"be":[63],"small.":[64]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
