{"id":"https://openalex.org/W2409505079","doi":"https://doi.org/10.1007/s00211-016-0812-3","title":"On time periodic solutions, asymptotic stability and bifurcations of Navier-Stokes equations","display_name":"On time periodic solutions, asymptotic stability and bifurcations of Navier-Stokes equations","publication_year":2016,"publication_date":"2016-06-13","ids":{"openalex":"https://openalex.org/W2409505079","doi":"https://doi.org/10.1007/s00211-016-0812-3","mag":"2409505079"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-016-0812-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-016-0812-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","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/A5056329854","display_name":"Chun-Hsiung Hsia","orcid":"https://orcid.org/0000-0001-6719-3845"},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]},{"id":"https://openalex.org/I4210119858","display_name":"National Center for Theoretical Sciences","ror":"https://ror.org/02mfp0b67","country_code":"TW","type":"facility","lineage":["https://openalex.org/I4210119858"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Chun-Hsiung Hsia","raw_affiliation_strings":["Department of Mathematics, Institute of Applied Mathematical Sciences, National Center for Theoretical Sciences, National Taiwan University, No. 1, Sec. 4, Roosevelt Rd, Taipei, 10617, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Institute of Applied Mathematical Sciences, National Center for Theoretical Sciences, National Taiwan University, No. 1, Sec. 4, Roosevelt Rd, Taipei, 10617, Taiwan","institution_ids":["https://openalex.org/I4210119858","https://openalex.org/I16733864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023336468","display_name":"Chang\u2010Yeol Jung","orcid":"https://orcid.org/0000-0002-6047-4107"},"institutions":[{"id":"https://openalex.org/I48566637","display_name":"Ulsan National Institute of Science and Technology","ror":"https://ror.org/017cjz748","country_code":"KR","type":"education","lineage":["https://openalex.org/I48566637"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Chang-Yeol Jung","raw_affiliation_strings":["Department of Mathematical Sciences, School of Natural Science, Ulsan National Institute of Science and Technology, UNIST-gil 50, Ulsan, 689-798, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, School of Natural Science, Ulsan National Institute of Science and Technology, UNIST-gil 50, Ulsan, 689-798, Republic of Korea","institution_ids":["https://openalex.org/I48566637"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112691062","display_name":"Thien Binh Nguyen","orcid":null},"institutions":[{"id":"https://openalex.org/I48566637","display_name":"Ulsan National Institute of Science and Technology","ror":"https://ror.org/017cjz748","country_code":"KR","type":"education","lineage":["https://openalex.org/I48566637"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Thien Binh Nguyen","raw_affiliation_strings":["Department of Mathematical Sciences, School of Natural Science, Ulsan National Institute of Science and Technology, UNIST-gil 50, Ulsan, 689-798, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, School of Natural Science, Ulsan National Institute of Science and Technology, UNIST-gil 50, Ulsan, 689-798, Republic of Korea","institution_ids":["https://openalex.org/I48566637"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001649065","display_name":"Ming\u2010Cheng Shiue","orcid":null},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Ming-Cheng Shiue","raw_affiliation_strings":["Department of Applied Mathematics, National Chiao Tung University, Hsinchu, 300, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, National Chiao Tung University, Hsinchu, 300, Taiwan","institution_ids":["https://openalex.org/I148366613"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5056329854"],"corresponding_institution_ids":["https://openalex.org/I16733864","https://openalex.org/I4210119858"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.1468,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.85727507,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"135","issue":"2","first_page":"607","last_page":"638"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9990000128746033,"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":0.9990000128746033,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9988999962806702,"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"}},{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9973999857902527,"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/mathematics","display_name":"Mathematics","score":0.7096424102783203},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.5771255493164062},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5680641531944275},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5586199760437012},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.52805095911026},{"id":"https://openalex.org/keywords/periodic-function","display_name":"Periodic function","score":0.49354851245880127},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.44874873757362366},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20171263813972473},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1522166132926941}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7096424102783203},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.5771255493164062},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5680641531944275},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5586199760437012},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.52805095911026},{"id":"https://openalex.org/C98644592","wikidata":"https://www.wikidata.org/wiki/Q184743","display_name":"Periodic function","level":2,"score":0.49354851245880127},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.44874873757362366},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20171263813972473},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1522166132926941},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00211-016-0812-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-016-0812-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:scholarworks.unist.ac.kr:201301/19857","is_oa":false,"landing_page_url":"https://scholarworks.unist.ac.kr/handle/201301/19857","pdf_url":null,"source":{"id":"https://openalex.org/S4306401118","display_name":"Scholarworks@UNIST (Ulsan National Institute of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I48566637","host_organization_name":"Ulsan National Institute of Science and Technology","host_organization_lineage":["https://openalex.org/I48566637"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"ARTICLE"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W76965081","https://openalex.org/W226420949","https://openalex.org/W1466924688","https://openalex.org/W1521778258","https://openalex.org/W1526067714","https://openalex.org/W1570440531","https://openalex.org/W1594759473","https://openalex.org/W1598074861","https://openalex.org/W1970508899","https://openalex.org/W1974383656","https://openalex.org/W1982561209","https://openalex.org/W2018196189","https://openalex.org/W2020192690","https://openalex.org/W2027255085","https://openalex.org/W2031950962","https://openalex.org/W2040322249","https://openalex.org/W2041071707","https://openalex.org/W2047533501","https://openalex.org/W2054506282","https://openalex.org/W2056267338","https://openalex.org/W2056554819","https://openalex.org/W2065396076","https://openalex.org/W2065909972","https://openalex.org/W2093032836","https://openalex.org/W2115858260","https://openalex.org/W2123775046","https://openalex.org/W2126764629","https://openalex.org/W2142523768","https://openalex.org/W2316924707","https://openalex.org/W2497754766","https://openalex.org/W3101323184","https://openalex.org/W3148800415","https://openalex.org/W4292519254"],"related_works":["https://openalex.org/W2004357175","https://openalex.org/W2064502186","https://openalex.org/W1990192565","https://openalex.org/W2168410743","https://openalex.org/W2347513878","https://openalex.org/W4213328329","https://openalex.org/W2356502513","https://openalex.org/W2324792952","https://openalex.org/W2390889401","https://openalex.org/W2005577739"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
