{"id":"https://openalex.org/W4386957692","doi":"https://doi.org/10.1137/22m152270x","title":"Cavity Dynamics and Regularity for Compressible Navier\u2013Stokes Equations","display_name":"Cavity Dynamics and Regularity for Compressible Navier\u2013Stokes Equations","publication_year":2023,"publication_date":"2023-09-22","ids":{"openalex":"https://openalex.org/W4386957692","doi":"https://doi.org/10.1137/22m152270x"},"language":"en","primary_location":{"id":"doi:10.1137/22m152270x","is_oa":true,"landing_page_url":"https://doi.org/10.1137/22m152270x","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/22M152270X?download=true","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://epubs.siam.org/doi/pdf/10.1137/22M152270X?download=true","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027545972","display_name":"Jae Ryong Kweon","orcid":"https://orcid.org/0000-0002-9252-5765"},"institutions":[{"id":"https://openalex.org/I123900574","display_name":"Pohang University of Science and Technology","ror":"https://ror.org/04xysgw12","country_code":"KR","type":"education","lineage":["https://openalex.org/I123900574"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Jae Ryong Kweon","raw_affiliation_strings":["Department of Mathematics, POSTECH, Pohang 790\u2013784, Kyoungbuk, Republic of Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, POSTECH, Pohang 790\u2013784, Kyoungbuk, Republic of Korea","institution_ids":["https://openalex.org/I123900574"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5027545972"],"corresponding_institution_ids":["https://openalex.org/I123900574"],"apc_list":null,"apc_paid":null,"fwci":0.4554,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56954154,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"55","issue":"5","first_page":"4599","last_page":"4639"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9958999752998352,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9945999979972839,"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/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.7723819613456726},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.749920666217804},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.7442591786384583},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6562367081642151},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.5951479077339172},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.559978187084198},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.48457324504852295},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4661368727684021},{"id":"https://openalex.org/keywords/inviscid-flow","display_name":"Inviscid flow","score":0.4424407482147217},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.431536465883255},{"id":"https://openalex.org/keywords/barotropic-fluid","display_name":"Barotropic fluid","score":0.4254082441329956},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3342753052711487},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.26799488067626953},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.2034066915512085},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17812129855155945}],"concepts":[{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.7723819613456726},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.749920666217804},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.7442591786384583},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6562367081642151},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.5951479077339172},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.559978187084198},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.48457324504852295},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4661368727684021},{"id":"https://openalex.org/C86252789","wikidata":"https://www.wikidata.org/wiki/Q2247765","display_name":"Inviscid flow","level":2,"score":0.4424407482147217},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.431536465883255},{"id":"https://openalex.org/C29712183","wikidata":"https://www.wikidata.org/wiki/Q739293","display_name":"Barotropic fluid","level":2,"score":0.4254082441329956},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3342753052711487},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.26799488067626953},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.2034066915512085},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17812129855155945},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m152270x","is_oa":true,"landing_page_url":"https://doi.org/10.1137/22m152270x","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/22M152270X?download=true","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1137/22m152270x","is_oa":true,"landing_page_url":"https://doi.org/10.1137/22m152270x","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/22M152270X?download=true","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.49000000953674316,"id":"https://metadata.un.org/sdg/14","display_name":"Life below water"}],"awards":[{"id":"https://openalex.org/G5331839704","display_name":null,"funder_award_id":"2018R1D1A1B06050386","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"}],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4386957692.pdf","grobid_xml":"https://content.openalex.org/works/W4386957692.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1549749298","https://openalex.org/W1550152218","https://openalex.org/W1569509154","https://openalex.org/W1586623601","https://openalex.org/W1986986128","https://openalex.org/W2016811874","https://openalex.org/W2025417680","https://openalex.org/W2028627366","https://openalex.org/W2029625741","https://openalex.org/W2030320478","https://openalex.org/W2042082553","https://openalex.org/W2059626895","https://openalex.org/W2089766803","https://openalex.org/W2095626383","https://openalex.org/W2101679467","https://openalex.org/W2132796867","https://openalex.org/W2134066908","https://openalex.org/W2152017835","https://openalex.org/W2164033023","https://openalex.org/W2625596161","https://openalex.org/W2742470390","https://openalex.org/W2943654865","https://openalex.org/W4292023257"],"related_works":["https://openalex.org/W1982761202","https://openalex.org/W2014661300","https://openalex.org/W2173826301","https://openalex.org/W4391013527","https://openalex.org/W1967385992","https://openalex.org/W2036607897","https://openalex.org/W2953303953","https://openalex.org/W3168427792","https://openalex.org/W2037332128","https://openalex.org/W4293086820"],"abstract_inverted_index":{"Abstract.":[0],"We":[1,49,76],"prove":[2],"the":[3,12,15,28,55,59,64,69,79,83,86,90,94,97,110,128,132],"global":[4],"existence":[5],"of":[6,14,18,96,131],"cavity":[7,47],"dynamics":[8],"and":[9,41,46,61,103],"regularity":[10],"for":[11],"solutions":[13],"Navier\u2013Stokes":[16],"equations":[17],"compressible":[19],"barotropic":[20],"flows":[21],"that":[22,78],"have":[23,106],"initially":[24],"jump":[25,42,56,107],"discontinuities":[26,43,108],"along":[27],"curve":[29,111,119],"grazing":[30],"two":[31],"nonconvex":[32],"corners.":[33],"Rectangular":[34],"cavities":[35],"may":[36],"produce":[37],"corner":[38,65,91],"shear":[39],"layers":[40],"between":[44],"lid":[45],"interior.":[48],"construct":[50],"a":[51],"vector":[52,81,88],"field":[53],"lifting":[54,87],"values":[57],"into":[58,85],"region":[60],"sort":[62],"out":[63],"singularity":[66,92],"functions":[67],"by":[68,114],"Lam\u00e9":[70],"system":[71],"with":[72],"zero":[73],"boundary":[74],"condition.":[75],"show":[77],"velocity":[80,104,133],"has":[82],"decomposition":[84,130],"plus":[89,93],"remainder":[95],"twice":[98],"differentiability.":[99],"The":[100,117],"fluid":[101],"density":[102],"gradient":[105],"across":[109],"as":[112],"predicted":[113],"Rankine\u2013Hugoniot":[115],"conditions.":[116],"interface":[118],"remains":[120],"[Formula:":[121,124],"see":[122,125],"text],":[123,126],"despite":[127],"singular":[129],"vector.":[134]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-08-24T07:32:12.397491","created_date":"2025-10-10T00:00:00"}