{"id":"https://openalex.org/W1618056923","doi":"https://doi.org/10.3233/asy-141261","title":"Persistence of regularity for the viscous Boussinesq equations with zero diffusivity","display_name":"Persistence of regularity for the viscous Boussinesq equations with zero diffusivity","publication_year":2015,"publication_date":"2015-02-01","ids":{"openalex":"https://openalex.org/W1618056923","doi":"https://doi.org/10.3233/asy-141261","mag":"1618056923"},"language":"en","primary_location":{"id":"doi:10.3233/asy-141261","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-141261","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic 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/A5102873604","display_name":"Weiwei Hu","orcid":"https://orcid.org/0000-0002-4752-0893"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Weiwei Hu","raw_affiliation_strings":["Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA. E-mails: weiweihu@usc.edu, kukavica@usc.edu, ziane@usc.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA. E-mails: weiweihu@usc.edu, kukavica@usc.edu, ziane@usc.edu","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015052144","display_name":"Igor Kukavica","orcid":"https://orcid.org/0000-0002-9234-2758"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Igor Kukavica","raw_affiliation_strings":["Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA. E-mails: weiweihu@usc.edu, kukavica@usc.edu, ziane@usc.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA. E-mails: weiweihu@usc.edu, kukavica@usc.edu, ziane@usc.edu","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052225945","display_name":"Mohammed Ziane","orcid":null},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mohammed Ziane","raw_affiliation_strings":["Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA. E-mails: weiweihu@usc.edu, kukavica@usc.edu, ziane@usc.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA. E-mails: weiweihu@usc.edu, kukavica@usc.edu, ziane@usc.edu","institution_ids":["https://openalex.org/I1174212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102873604"],"corresponding_institution_ids":["https://openalex.org/I1174212"],"apc_list":null,"apc_paid":null,"fwci":6.8261,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.9693447,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"91","issue":"2","first_page":"111","last_page":"124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9994999766349792,"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":0.9994999766349792,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9592999815940857,"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/persistence","display_name":"Persistence (discontinuity)","score":0.849962592124939},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.7630603313446045},{"id":"https://openalex.org/keywords/thermal-diffusivity","display_name":"Thermal diffusivity","score":0.6823505163192749},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4526911675930023},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4366673231124878},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.3735307455062866},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3727225661277771},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.34867197275161743},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.2821015417575836},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.2305263876914978},{"id":"https://openalex.org/keywords/geotechnical-engineering","display_name":"Geotechnical engineering","score":0.09959226846694946},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.03981873393058777}],"concepts":[{"id":"https://openalex.org/C2781009140","wikidata":"https://www.wikidata.org/wiki/Q7170389","display_name":"Persistence (discontinuity)","level":2,"score":0.849962592124939},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.7630603313446045},{"id":"https://openalex.org/C37668627","wikidata":"https://www.wikidata.org/wiki/Q3381809","display_name":"Thermal diffusivity","level":2,"score":0.6823505163192749},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4526911675930023},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4366673231124878},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3735307455062866},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3727225661277771},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.34867197275161743},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.2821015417575836},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.2305263876914978},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.09959226846694946},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.03981873393058777},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/asy-141261","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-141261","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","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":31,"referenced_works":["https://openalex.org/W1480681685","https://openalex.org/W1570440531","https://openalex.org/W1594533031","https://openalex.org/W1594759473","https://openalex.org/W1973030790","https://openalex.org/W1987628700","https://openalex.org/W1988712590","https://openalex.org/W1998082235","https://openalex.org/W2014172715","https://openalex.org/W2014477815","https://openalex.org/W2026641371","https://openalex.org/W2029545474","https://openalex.org/W2038081758","https://openalex.org/W2065486975","https://openalex.org/W2066949116","https://openalex.org/W2076582418","https://openalex.org/W2079706362","https://openalex.org/W2090881117","https://openalex.org/W2092679343","https://openalex.org/W2097270841","https://openalex.org/W2099711936","https://openalex.org/W2114304587","https://openalex.org/W2164723633","https://openalex.org/W2331312460","https://openalex.org/W2477040106","https://openalex.org/W2489456039","https://openalex.org/W2535973907","https://openalex.org/W2596083410","https://openalex.org/W2950587333","https://openalex.org/W2964140392","https://openalex.org/W3148800415"],"related_works":["https://openalex.org/W2768120831","https://openalex.org/W2080519218","https://openalex.org/W2902563245","https://openalex.org/W2147170865","https://openalex.org/W1554733636","https://openalex.org/W2478770834","https://openalex.org/W2334571699","https://openalex.org/W3098942149","https://openalex.org/W1997050101","https://openalex.org/W2749254521"],"abstract_inverted_index":{"We":[0,16],"address":[1,71],"the":[2,6,34,40,56,61,72],"global":[3],"regularity":[4,37,64],"for":[5,19,51,65,81],"2D":[7],"Boussinesq":[8],"equations":[9],"with":[10],"positive":[11,53],"viscosity":[12],"and":[13,44,78],"zero":[14],"diffusivity.":[15],"prove":[17],"that":[18],"data":[20],"(u":[21],"0":[22,24],",\u03c1":[23],")":[25],"in":[26],"H":[27,47,73],"s":[28,48,74,76],"\u00d7H":[29,49,75],"s\u22121":[30,50],",":[31],"where":[32],"1<s<2,":[33],"persistence":[35,62,77],"of":[36,63],"holds,":[38],"i.e.,":[39],"solution":[41],"(u(t),\u03c1(t))":[42],"exists":[43],"belongs":[45],"to":[46],"all":[52,66,82],"t.":[54],"Given":[55],"existing":[57],"results,":[58],"this":[59],"provides":[60],"s\u22650.":[67],"In":[68],"addition,":[69],"we":[70],"establish":[79],"it":[80],"s>1.":[83]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}