{"id":"https://openalex.org/W35893928","doi":"https://doi.org/10.4310/maa.2001.v8.n1.a6","title":"Asymptotic profiles of nonstationary incompressible Navier\u2013Stokes flows in the half-space","display_name":"Asymptotic profiles of nonstationary incompressible Navier\u2013Stokes flows in the half-space","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W35893928","doi":"https://doi.org/10.4310/maa.2001.v8.n1.a6","mag":"35893928"},"language":"en","primary_location":{"id":"doi:10.4310/maa.2001.v8.n1.a6","doi":"https://doi.org/10.4310/maa.2001.v8.n1.a6","is_oa":true,"landing_page_url":"https://doi.org/10.4310/maa.2001.v8.n1.a6","pdf_url":"https://www.intlpress.com/site/pub/files/_fulltext/journals/maa/2001/0008/0001/MAA-2001-0008-0001-a006.pdf","source":{"id":"https://openalex.org/S2764760990","display_name":"Methods and Applications of Analysis","issn_l":"1073-2772","issn":["1073-2772","1945-0001"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4327904645","host_organization_name":"International Press of Boston","host_organization_lineage":["https://openalex.org/P4327904645"],"host_organization_lineage_names":["International Press of Boston"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Methods and Applications of Analysis","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.intlpress.com/site/pub/files/_fulltext/journals/maa/2001/0008/0001/MAA-2001-0008-0001-a006.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087053274","display_name":"Yoshiko Fujigaki","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I65837984","display_name":"Kobe University","ror":"https://ror.org/03tgsfw79","country_code":"JP","type":"education","lineage":["https://openalex.org/I65837984"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Yoshiko Fujigaki","raw_affiliation_strings":["Graduate School of Science and Technology Department of Mathematics Kobe University Faculty of Science, Kobe University Rokko, Kobe 657-8501, JAPAN Rokko, Kobe 657-8501, JAPAN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Science and Technology Department of Mathematics Kobe University Faculty of Science, Kobe University Rokko, Kobe 657-8501, JAPAN Rokko, Kobe 657-8501, JAPAN","institution_ids":["https://openalex.org/I65837984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029080963","display_name":"Tetsuro Miyakawa","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I65837984","display_name":"Kobe University","ror":"https://ror.org/03tgsfw79","country_code":"JP","type":"education","lineage":["https://openalex.org/I65837984"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tetsuro Miyakawa","raw_affiliation_strings":["Graduate School of Science and Technology Department of Mathematics Kobe University Faculty of Science, Kobe University Rokko, Kobe 657-8501, JAPAN Rokko, Kobe 657-8501, JAPAN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Science and Technology Department of Mathematics Kobe University Faculty of Science, Kobe University Rokko, Kobe 657-8501, JAPAN Rokko, Kobe 657-8501, JAPAN","institution_ids":["https://openalex.org/I65837984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5087053274"],"corresponding_institution_ids":["https://openalex.org/I65837984"],"apc_list":null,"apc_paid":null,"fwci":2.7995,"has_fulltext":true,"cited_by_count":46,"citation_normalized_percentile":{"value":0.87812475,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"8","issue":"1","first_page":"121","last_page":"158"},"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":9.999999747378752e-05,"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":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/navier-stokes-equations","display_name":"Navier-Stokes equations","score":0.9089999794960022},{"id":"https://openalex.org/keywords/long-time-behavior","display_name":"long-time behavior","score":0.7839999794960022},{"id":"https://openalex.org/keywords/upper-half-space","display_name":"upper half-space","score":0.8169999718666077},{"id":"https://openalex.org/keywords/weak-solutions","display_name":"weak solutions","score":0.7570000290870667},{"id":"https://openalex.org/keywords/strong-solutions","display_name":"strong solutions","score":0.9980000257492065},{"id":"https://openalex.org/keywords/whole-space","display_name":"whole space","score":0.5699999928474426},{"id":"https://openalex.org/keywords/asymptotic-profiles","display_name":"asymptotic profiles","score":0.7409999966621399}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8540573120117188},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.7246402502059937},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.5872862935066223},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5474293231964111},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5091297030448914},{"id":"https://openalex.org/C50415386","wikidata":"https://www.wikidata.org/wiki/Q1663717","display_name":"Incompressible flow","level":3,"score":0.4573826193809509},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2613016664981842},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.23216715455055237},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.1822199523448944},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10859528183937073},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.4310/maa.2001.v8.n1.a6","doi":"https://doi.org/10.4310/maa.2001.v8.n1.a6","is_oa":true,"landing_page_url":"https://doi.org/10.4310/maa.2001.v8.n1.a6","pdf_url":"https://www.intlpress.com/site/pub/files/_fulltext/journals/maa/2001/0008/0001/MAA-2001-0008-0001-a006.pdf","source":{"id":"https://openalex.org/S2764760990","display_name":"Methods and Applications of Analysis","issn_l":"1073-2772","issn":["1073-2772","1945-0001"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4327904645","host_organization_name":"International Press of Boston","host_organization_lineage":["https://openalex.org/P4327904645"],"host_organization_lineage_names":["International Press of Boston"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Methods and Applications of Analysis","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.623.210","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.623.210","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1225-2.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.4310/maa.2001.v8.n1.a6","doi":"https://doi.org/10.4310/maa.2001.v8.n1.a6","is_oa":true,"landing_page_url":"https://doi.org/10.4310/maa.2001.v8.n1.a6","pdf_url":"https://www.intlpress.com/site/pub/files/_fulltext/journals/maa/2001/0008/0001/MAA-2001-0008-0001-a006.pdf","source":{"id":"https://openalex.org/S2764760990","display_name":"Methods and Applications of Analysis","issn_l":"1073-2772","issn":["1073-2772","1945-0001"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4327904645","host_organization_name":"International Press of Boston","host_organization_lineage":["https://openalex.org/P4327904645"],"host_organization_lineage_names":["International Press of Boston"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Methods and Applications of Analysis","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G4569754126","display_name":"Functional-analytic study on incompressible viscous fluid flows","funder_award_id":"10440045","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W35893928.pdf","grobid_xml":"https://content.openalex.org/works/W35893928.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1968974550","https://openalex.org/W1982418511","https://openalex.org/W1985765218","https://openalex.org/W1985880958","https://openalex.org/W2002508570","https://openalex.org/W2008948780","https://openalex.org/W2024035323","https://openalex.org/W2028127257","https://openalex.org/W2031343718","https://openalex.org/W2044196646","https://openalex.org/W2045884245","https://openalex.org/W2069367520","https://openalex.org/W2155546069","https://openalex.org/W3109334054"],"related_works":["https://openalex.org/W2191246793","https://openalex.org/W2010330150","https://openalex.org/W2009833918","https://openalex.org/W4229688500","https://openalex.org/W7145999856","https://openalex.org/W2963264123","https://openalex.org/W2002508570","https://openalex.org/W779705250","https://openalex.org/W2065746737","https://openalex.org/W81276710"],"abstract_inverted_index":{"We":[0],"are":[1],"interested":[2],"in":[3,17,23],"the":[4,14,18,24],"large-time":[5],"asymptotic":[6],"behavior":[7],"of":[8,13],"weak":[9],"and":[10,22],"strong":[11],"solutions":[12],"Navier-Stokes":[15],"system":[16],"whole-space":[19],"R":[20],"\u2019":[21],"upper":[25],"half-space":[26],"$\\\\mathrm{R}_{+}^{n}":[27],"$":[28,40,49,55],",":[29],"n":[30],"$\\\\geq":[31,53],"2":[32],"$:":[33],"$\\\\partial_{t}u+u":[34],"$.":[35,46],"Vu":[36],"$=\\\\Delta":[37],"u-\\\\nabla":[38],"p":[39],"(x":[41,50],"$\\\\in":[42,51],"D^{n},$t":[43,52],"$>0)$":[44],"$\\\\nabla":[45],"u":[47],"$=0":[48],"0)":[54],"(NS)":[56]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-09-08T07:41:39.490200","created_date":"2016-06-24T00:00:00"}
