{"id":"https://openalex.org/W2154921941","doi":"https://doi.org/10.1007/s00332-014-9220-y","title":"Eventual Regularity of the Two-Dimensional Boussinesq Equations with Supercritical Dissipation","display_name":"Eventual Regularity of the Two-Dimensional Boussinesq Equations with Supercritical Dissipation","publication_year":2014,"publication_date":"2014-08-26","ids":{"openalex":"https://openalex.org/W2154921941","doi":"https://doi.org/10.1007/s00332-014-9220-y","mag":"2154921941"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-014-9220-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-014-9220-y","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","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/A5016812181","display_name":"Quansen Jiu","orcid":null},"institutions":[{"id":"https://openalex.org/I96852419","display_name":"Capital Normal University","ror":"https://ror.org/005edt527","country_code":"CN","type":"education","lineage":["https://openalex.org/I96852419"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Quansen Jiu","raw_affiliation_strings":["School of Mathematics, Capital Normal University, Beijing, 100037, People\u2019s Republic of China","School of Mathematics, Capital Normal University, Beijing, 100037, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Capital Normal University, Beijing, 100037, People\u2019s Republic of China","institution_ids":["https://openalex.org/I96852419"]},{"raw_affiliation_string":"School of Mathematics, Capital Normal University, Beijing, 100037, People's Republic of China","institution_ids":["https://openalex.org/I96852419"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100368783","display_name":"Jiahong Wu","orcid":"https://orcid.org/0000-0001-9496-9709"},"institutions":[{"id":"https://openalex.org/I3019309368","display_name":"North Minzu University","ror":"https://ror.org/05xjevr11","country_code":"CN","type":"education","lineage":["https://openalex.org/I3019309368"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiahong Wu","raw_affiliation_strings":["Department of Mathematics, Beifang University of Nationalities, Ningxia, 750021, People\u2019s Republic of China","Department of Mathematics, Beifang University of Nationalities, Ningxia, 750021, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Beifang University of Nationalities, Ningxia, 750021, People\u2019s Republic of China","institution_ids":["https://openalex.org/I3019309368"]},{"raw_affiliation_string":"Department of Mathematics, Beifang University of Nationalities, Ningxia, 750021, People's Republic of China","institution_ids":["https://openalex.org/I3019309368"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033641926","display_name":"Wanrong Yang","orcid":"https://orcid.org/0000-0002-3087-0651"},"institutions":[{"id":"https://openalex.org/I115475287","display_name":"Oklahoma State University","ror":"https://ror.org/01g9vbr38","country_code":"US","type":"education","lineage":["https://openalex.org/I115475287"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wanrong Yang","raw_affiliation_strings":["Department of Mathematics, Oklahoma State University, 401 Mathematical Sciences, Stillwater, OK, 74078, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Oklahoma State University, 401 Mathematical Sciences, Stillwater, OK, 74078, USA","institution_ids":["https://openalex.org/I115475287"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100368783"],"corresponding_institution_ids":["https://openalex.org/I3019309368"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":7.0072,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.97520539,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"25","issue":"1","first_page":"37","last_page":"58"},"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":0.996399998664856,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.983299970626831,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/dissipation","display_name":"Dissipation","score":0.7138965725898743},{"id":"https://openalex.org/keywords/supercritical-fluid","display_name":"Supercritical fluid","score":0.6811290979385376},{"id":"https://openalex.org/keywords/fractional-laplacian","display_name":"Fractional Laplacian","score":0.6489142775535583},{"id":"https://openalex.org/keywords/vorticity","display_name":"Vorticity","score":0.6025248765945435},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.5418288707733154},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5347228646278381},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42979371547698975},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.42761823534965515},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.32980412244796753},{"id":"https://openalex.org/keywords/vortex","display_name":"Vortex","score":0.25671881437301636},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.1883203685283661},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.1107165515422821}],"concepts":[{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.7138965725898743},{"id":"https://openalex.org/C118419359","wikidata":"https://www.wikidata.org/wiki/Q682585","display_name":"Supercritical fluid","level":2,"score":0.6811290979385376},{"id":"https://openalex.org/C2775913539","wikidata":"https://www.wikidata.org/wiki/Q30694381","display_name":"Fractional Laplacian","level":2,"score":0.6489142775535583},{"id":"https://openalex.org/C200114574","wikidata":"https://www.wikidata.org/wiki/Q1143513","display_name":"Vorticity","level":3,"score":0.6025248765945435},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5418288707733154},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5347228646278381},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42979371547698975},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.42761823534965515},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.32980412244796753},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.25671881437301636},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1883203685283661},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.1107165515422821}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00332-014-9220-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-014-9220-y","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W67812752","https://openalex.org/W570977054","https://openalex.org/W588707587","https://openalex.org/W643794297","https://openalex.org/W1488877410","https://openalex.org/W1509925099","https://openalex.org/W1519453618","https://openalex.org/W1555782160","https://openalex.org/W1644741422","https://openalex.org/W1671394886","https://openalex.org/W1883276306","https://openalex.org/W1973030790","https://openalex.org/W1974679103","https://openalex.org/W1976694225","https://openalex.org/W1982827359","https://openalex.org/W2000556400","https://openalex.org/W2002399926","https://openalex.org/W2006455026","https://openalex.org/W2011455594","https://openalex.org/W2014137435","https://openalex.org/W2015488004","https://openalex.org/W2018396200","https://openalex.org/W2018766993","https://openalex.org/W2026641371","https://openalex.org/W2027200237","https://openalex.org/W2029545474","https://openalex.org/W2056562282","https://openalex.org/W2060099728","https://openalex.org/W2061090450","https://openalex.org/W2061542451","https://openalex.org/W2065486975","https://openalex.org/W2072267888","https://openalex.org/W2083855949","https://openalex.org/W2095625660","https://openalex.org/W2102375137","https://openalex.org/W2104068969","https://openalex.org/W2135860354","https://openalex.org/W2136343001","https://openalex.org/W2146809306","https://openalex.org/W2164723633","https://openalex.org/W2486821353","https://openalex.org/W2963242777","https://openalex.org/W2963448709","https://openalex.org/W2963992580","https://openalex.org/W2964140392","https://openalex.org/W3098536117","https://openalex.org/W3105916216","https://openalex.org/W3149400087","https://openalex.org/W4298011665","https://openalex.org/W4307237617","https://openalex.org/W4403100983"],"related_works":["https://openalex.org/W3196163622","https://openalex.org/W2370685986","https://openalex.org/W2040168466","https://openalex.org/W4388805554","https://openalex.org/W2371292460","https://openalex.org/W2130313128","https://openalex.org/W7632529","https://openalex.org/W4386148387","https://openalex.org/W4288359299","https://openalex.org/W4387159293"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
