{"id":"https://openalex.org/W2043135825","doi":"https://doi.org/10.1137/100809842","title":"Time Periodic Solutions of the Navier\u2013Stokes Equations with Nonzero Constant Boundary Conditions at Infinity","display_name":"Time Periodic Solutions of the Navier\u2013Stokes Equations with Nonzero Constant Boundary Conditions at Infinity","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2043135825","doi":"https://doi.org/10.1137/100809842","mag":"2043135825"},"language":"en","primary_location":{"id":"doi:10.1137/100809842","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100809842","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://archive-ouverte.unige.ch/unige:36398","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031651058","display_name":"Guillaume van Baalen","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Guillaume van Baalen","raw_affiliation_strings":["Boston University"],"affiliations":[{"raw_affiliation_string":"Boston University","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080606198","display_name":"Peter Wittwer","orcid":"https://orcid.org/0000-0001-6416-4424"},"institutions":[{"id":"https://openalex.org/I114457229","display_name":"University of Geneva","ror":"https://ror.org/01swzsf04","country_code":"CH","type":"education","lineage":["https://openalex.org/I114457229"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Peter Wittwer","raw_affiliation_strings":["University of Geneva;"],"affiliations":[{"raw_affiliation_string":"University of Geneva;","institution_ids":["https://openalex.org/I114457229"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031651058"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4644,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.87684848,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"43","issue":"4","first_page":"1787","last_page":"1809"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9932000041007996,"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":0.9932000041007996,"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/T11254","display_name":"Fluid Dynamics and Vibration Analysis","score":0.992900013923645,"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"}},{"id":"https://openalex.org/T13951","display_name":"Fluid dynamics and aerodynamics studies","score":0.9926999807357788,"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/mathematics","display_name":"Mathematics","score":0.7915217876434326},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.7767559289932251},{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.680724024772644},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6671229004859924},{"id":"https://openalex.org/keywords/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.5385853052139282},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.5148410201072693},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.5139645934104919},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.48076507449150085},{"id":"https://openalex.org/keywords/periodic-boundary-conditions","display_name":"Periodic boundary conditions","score":0.4758700728416443},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4500860273838043},{"id":"https://openalex.org/keywords/moving-frame","display_name":"Moving frame","score":0.4353669285774231},{"id":"https://openalex.org/keywords/constant-angular-velocity","display_name":"Constant angular velocity","score":0.4103856384754181},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.3973844647407532},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.29640141129493713},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17762231826782227},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.12908637523651123},{"id":"https://openalex.org/keywords/angular-velocity","display_name":"Angular velocity","score":0.10974878072738647}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7915217876434326},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.7767559289932251},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.680724024772644},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6671229004859924},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.5385853052139282},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5148410201072693},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.5139645934104919},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.48076507449150085},{"id":"https://openalex.org/C112675119","wikidata":"https://www.wikidata.org/wiki/Q2992284","display_name":"Periodic boundary conditions","level":3,"score":0.4758700728416443},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4500860273838043},{"id":"https://openalex.org/C11302649","wikidata":"https://www.wikidata.org/wiki/Q6927157","display_name":"Moving frame","level":3,"score":0.4353669285774231},{"id":"https://openalex.org/C141694779","wikidata":"https://www.wikidata.org/wiki/Q5163644","display_name":"Constant angular velocity","level":3,"score":0.4103856384754181},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.3973844647407532},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.29640141129493713},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17762231826782227},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.12908637523651123},{"id":"https://openalex.org/C5594486","wikidata":"https://www.wikidata.org/wiki/Q161635","display_name":"Angular velocity","level":2,"score":0.10974878072738647},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/100809842","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100809842","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:unige.ch:unige:36398","is_oa":true,"landing_page_url":"https://archive-ouverte.unige.ch/unige:36398","pdf_url":null,"source":{"id":"https://openalex.org/S4306402259","display_name":"Archive ouverte UNIGE (University of Geneva)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I114457229","host_organization_name":"University of Geneva","host_organization_lineage":["https://openalex.org/I114457229"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ISSN: 0036-1410","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:unige.ch:unige:36398","is_oa":true,"landing_page_url":"https://archive-ouverte.unige.ch/unige:36398","pdf_url":null,"source":{"id":"https://openalex.org/S4306402259","display_name":"Archive ouverte UNIGE (University of Geneva)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I114457229","host_organization_name":"University of Geneva","host_organization_lineage":["https://openalex.org/I114457229"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ISSN: 0036-1410","raw_type":"Text"},"sustainable_development_goals":[{"display_name":"Life below water","id":"https://metadata.un.org/sdg/14","score":0.4699999988079071}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1598074861","https://openalex.org/W1982640887","https://openalex.org/W2018196189","https://openalex.org/W2044762232","https://openalex.org/W2061972173","https://openalex.org/W2067094831","https://openalex.org/W2072978086","https://openalex.org/W2131351160","https://openalex.org/W2467278134"],"related_works":["https://openalex.org/W2306553012","https://openalex.org/W4251417359","https://openalex.org/W2381059884","https://openalex.org/W4229993731","https://openalex.org/W2372756075","https://openalex.org/W1979193983","https://openalex.org/W2942927957","https://openalex.org/W2039757541","https://openalex.org/W1492916324","https://openalex.org/W2182642872"],"abstract_inverted_index":{"We":[0],"construct":[1],"solutions":[2,29,33,68],"for":[3,80],"the":[4,35,58,76,78,81,101],"Navier\u2013Stokes":[5],"equations":[6],"in":[7,20,69,86,109],"three":[8],"dimensions":[9],"with":[10,57,112],"a":[11,21,38,70,87,110,115],"time":[12],"periodic":[13],"force":[14],"which":[15,40,54,89,106],"is":[16,55,84,90,96],"of":[17,34,37,72],"compact":[18],"support":[19],"frame":[22,71,88],"that":[23],"moves":[24,41],"at":[25,46,92],"constant":[26,47,93],"speed.":[27],"These":[28],"are":[30,107],"related":[31],"to":[32,62,75,114],"problem":[36,83],"body":[39],"within":[42],"an":[43,52],"incompressible":[44],"fluid":[45],"speed":[48,94],"and":[49],"rotates":[50],"around":[51],"axis":[53],"aligned":[56],"motion.":[59],"In":[60],"contrast":[61],"other":[63],"authors":[64],"who":[65],"analyze":[66],"stationary":[67],"reference":[73],"attached":[74],"body,":[77],"analysis":[79],"present":[82,108],"done":[85],"moving":[91],"but":[95],"not":[97],"rotating.":[98],"This":[99],"avoids":[100],"unpleasant":[102],"unbounded":[103],"linear":[104],"terms":[105],"description":[111],"respect":[113],"rotating":[116],"frame.":[117]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}