{"id":"https://openalex.org/W4367298570","doi":"https://doi.org/10.1016/j.jde.2023.04.026","title":"Conditional regularity for the Navier\u2013Stokes\u2013Fourier system with Dirichlet boundary conditions","display_name":"Conditional regularity for the Navier\u2013Stokes\u2013Fourier system with Dirichlet boundary conditions","publication_year":2023,"publication_date":"2023-04-28","ids":{"openalex":"https://openalex.org/W4367298570","doi":"https://doi.org/10.1016/j.jde.2023.04.026"},"language":"en","primary_location":{"id":"doi:10.1016/j.jde.2023.04.026","doi":"https://doi.org/10.1016/j.jde.2023.04.026","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jde.2023.04.026","pdf_url":null,"source":{"id":"https://openalex.org/S200871675","display_name":"Journal of Differential Equations","issn_l":"0022-0396","issn":["0022-0396","1090-2732"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Differential Equations","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2301.13496","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034558784","display_name":"Danica Basari\u0107","orcid":"https://orcid.org/0000-0002-2096-9690","observed_orcids":["https://orcid.org/0000-0002-2096-9690"]},"institutions":[{"id":"https://openalex.org/I202391551","display_name":"Czech Academy of Sciences","ror":"https://ror.org/053avzc18","country_code":"CZ","type":"government","lineage":["https://openalex.org/I202391551"]},{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Danica Basari\u0107","raw_affiliation_strings":["Institute of Mathematics of the Czech Academy of Sciences, \u017ditn\u00e1 25, CZ-115 67 Praha 1, Czech Republic"],"raw_orcid":"https://orcid.org/0000-0002-2096-9690","affiliations":[{"raw_affiliation_string":"Institute of Mathematics of the Czech Academy of Sciences, \u017ditn\u00e1 25, CZ-115 67 Praha 1, Czech Republic","institution_ids":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074749816","display_name":"Eduard Feireisl","orcid":"https://orcid.org/0000-0002-3795-1315","observed_orcids":["https://orcid.org/0000-0002-3795-1315"]},"institutions":[{"id":"https://openalex.org/I202391551","display_name":"Czech Academy of Sciences","ror":"https://ror.org/053avzc18","country_code":"CZ","type":"government","lineage":["https://openalex.org/I202391551"]},{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Eduard Feireisl","raw_affiliation_strings":["Institute of Mathematics of the Czech Academy of Sciences, \u017ditn\u00e1 25, CZ-115 67 Praha 1, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics of the Czech Academy of Sciences, \u017ditn\u00e1 25, CZ-115 67 Praha 1, Czech Republic","institution_ids":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033642279","display_name":"Hana Mizerov\u00e1","orcid":"https://orcid.org/0009-0000-0633-806X","observed_orcids":["https://orcid.org/0009-0000-0633-806X"]},"institutions":[{"id":"https://openalex.org/I202391551","display_name":"Czech Academy of Sciences","ror":"https://ror.org/053avzc18","country_code":"CZ","type":"government","lineage":["https://openalex.org/I202391551"]},{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]},{"id":"https://openalex.org/I74788687","display_name":"Comenius University Bratislava","ror":"https://ror.org/0587ef340","country_code":"SK","type":"education","lineage":["https://openalex.org/I74788687"]}],"countries":["CZ","SK"],"is_corresponding":false,"raw_author_name":"Hana Mizerov\u00e1","raw_affiliation_strings":["Department of Mathematical Analysis and Numerical Mathematics, Comenius University, Mlynsk\u00e1 dolina, 842 48 Bratislava, Slovakia","Institute of Mathematics of the Czech Academy of Sciences, \u017ditn\u00e1 25, CZ-115 67 Praha 1, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Analysis and Numerical Mathematics, Comenius University, Mlynsk\u00e1 dolina, 842 48 Bratislava, Slovakia","institution_ids":["https://openalex.org/I74788687"]},{"raw_affiliation_string":"Institute of Mathematics of the Czech Academy of Sciences, \u017ditn\u00e1 25, CZ-115 67 Praha 1, Czech Republic","institution_ids":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034558784"],"corresponding_institution_ids":["https://openalex.org/I202391551","https://openalex.org/I4210120266"],"apc_list":{"value":2820,"currency":"USD","value_usd":2820},"apc_paid":null,"fwci":2.6221,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.90157948,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"365","issue":null,"first_page":"359","last_page":"378"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":1.0,"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":1.0,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.0,"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.0,"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/navier-stokes-fourier-system","display_name":"Navier-Stokes-Fourier equations","score":0.9860000014305115},{"id":"https://openalex.org/keywords/conditional-regularity","display_name":"conditional regularity","score":0.9779999852180481},{"id":"https://openalex.org/keywords/dirichlet-boundary-conditions","display_name":"Dirichlet boundary conditions","score":0.9300000071525574},{"id":"https://openalex.org/keywords/nonhomogeneous-boundary-conditions","display_name":"nonhomogeneous boundary conditions","score":0.9789999723434448},{"id":"https://openalex.org/keywords/regularity-criteria","display_name":"regularity criteria","score":0.5720000267028809},{"id":"https://openalex.org/keywords/bounded-density","display_name":"bounded density","score":0.6800000071525574}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7750966548919678},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7412363290786743},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.6668267250061035},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5983795523643494},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5970587134361267},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.5571703314781189},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.5461188554763794},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.473524808883667},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.4198853373527527},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4091235101222992}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/j.jde.2023.04.026","doi":"https://doi.org/10.1016/j.jde.2023.04.026","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jde.2023.04.026","pdf_url":null,"source":{"id":"https://openalex.org/S200871675","display_name":"Journal of Differential Equations","issn_l":"0022-0396","issn":["0022-0396","1090-2732"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Differential Equations","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2301.13496","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2301.13496","pdf_url":"https://arxiv.org/pdf/2301.13496","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:re.public.polimi.it:11311/1269493","doi":null,"is_oa":false,"landing_page_url":"https://hdl.handle.net/11311/1269493","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2301.13496","doi":"https://doi.org/10.48550/arxiv.2301.13496","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2301.13496","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2301.13496","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2301.13496","pdf_url":"https://arxiv.org/pdf/2301.13496","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1741043573","display_name":null,"funder_award_id":"67985840","funder_id":"https://openalex.org/F4320322482","funder_display_name":"Akademie V\u011bd \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G7574269588","display_name":null,"funder_award_id":"67985840","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G8724909601","display_name":null,"funder_award_id":"21--02411S","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"}],"funders":[{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"},{"id":"https://openalex.org/F4320322482","display_name":"Akademie V\u011bd \u010cesk\u00e9 Republiky","ror":"https://ror.org/053avzc18"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4367298570.pdf","grobid_xml":"https://content.openalex.org/works/W4367298570.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1502305313","https://openalex.org/W1975514117","https://openalex.org/W1982637288","https://openalex.org/W2000936983","https://openalex.org/W2032024523","https://openalex.org/W2060821921","https://openalex.org/W2063309685","https://openalex.org/W2068740901","https://openalex.org/W2091169336","https://openalex.org/W2119701048","https://openalex.org/W2503698781","https://openalex.org/W2572878773","https://openalex.org/W2964118263","https://openalex.org/W2985181968","https://openalex.org/W3120171153","https://openalex.org/W3166295189","https://openalex.org/W4205791012","https://openalex.org/W4249213735","https://openalex.org/W4283695950","https://openalex.org/W4283701483","https://openalex.org/W4390340865"],"related_works":["https://openalex.org/W4403758561","https://openalex.org/W4411704844","https://openalex.org/W2312906412","https://openalex.org/W4312651512","https://openalex.org/W2130848767","https://openalex.org/W2063309685","https://openalex.org/W4388093401","https://openalex.org/W3198163286","https://openalex.org/W2050537303","https://openalex.org/W3099562674"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2023-04-29T00:00:00"}