{"id":"https://openalex.org/W1984711826","doi":"https://doi.org/10.1137/s0036139994270449","title":"Maximal Effective Diffusivity for Time-Periodic Incompressible Fluid Flows","display_name":"Maximal Effective Diffusivity for Time-Periodic Incompressible Fluid Flows","publication_year":1996,"publication_date":"1996-02-01","ids":{"openalex":"https://openalex.org/W1984711826","doi":"https://doi.org/10.1137/s0036139994270449","mag":"1984711826"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139994270449","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139994270449","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","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/A5014334832","display_name":"Igor Mezi\u0107","orcid":"https://orcid.org/0000-0002-2873-9013"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Igor Mezi\u0107","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027454138","display_name":"John F. Brady","orcid":"https://orcid.org/0000-0001-5817-9128"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"John F. Brady","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5067867570","display_name":"Stephen Wiggins","orcid":"https://orcid.org/0000-0002-0780-0911"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stephen Wiggins","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.8236,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.96148074,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"56","issue":"1","first_page":"40","last_page":"56"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9983999729156494,"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"}},"topics":[{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9983999729156494,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9939000010490417,"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.9901999831199646,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/thermal-diffusivity","display_name":"Thermal diffusivity","score":0.9052658081054688},{"id":"https://openalex.org/keywords/p\u00e9clet-number","display_name":"P\u00e9clet number","score":0.7218760848045349},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.6018748879432678},{"id":"https://openalex.org/keywords/ergodic-theory","display_name":"Ergodic theory","score":0.6016536355018616},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.5863569974899292},{"id":"https://openalex.org/keywords/mass-diffusivity","display_name":"Mass diffusivity","score":0.5070798397064209},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4587344229221344},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.43234866857528687},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39639216661453247},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3418493866920471},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.21018612384796143}],"concepts":[{"id":"https://openalex.org/C37668627","wikidata":"https://www.wikidata.org/wiki/Q3381809","display_name":"Thermal diffusivity","level":2,"score":0.9052658081054688},{"id":"https://openalex.org/C205684552","wikidata":"https://www.wikidata.org/wiki/Q899769","display_name":"P\u00e9clet number","level":2,"score":0.7218760848045349},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.6018748879432678},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.6016536355018616},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.5863569974899292},{"id":"https://openalex.org/C203496682","wikidata":"https://www.wikidata.org/wiki/Q604008","display_name":"Mass diffusivity","level":3,"score":0.5070798397064209},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4587344229221344},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.43234866857528687},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39639216661453247},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3418493866920471},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.21018612384796143}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036139994270449","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139994270449","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","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/W120469748","https://openalex.org/W1547249381","https://openalex.org/W1589522393","https://openalex.org/W1603131869","https://openalex.org/W1964783557","https://openalex.org/W1968312031","https://openalex.org/W1980078733","https://openalex.org/W1992044958","https://openalex.org/W1997260956","https://openalex.org/W1999976251","https://openalex.org/W2001991165","https://openalex.org/W2007409053","https://openalex.org/W2008962126","https://openalex.org/W2008995486","https://openalex.org/W2011177468","https://openalex.org/W2050204796","https://openalex.org/W2052976800","https://openalex.org/W2060325616","https://openalex.org/W2073950953","https://openalex.org/W2076373833","https://openalex.org/W2082993983","https://openalex.org/W2089980668","https://openalex.org/W2130928138","https://openalex.org/W2136964092","https://openalex.org/W2165817755","https://openalex.org/W3105062674","https://openalex.org/W4211016790","https://openalex.org/W4229647010","https://openalex.org/W4255043764","https://openalex.org/W4294967943","https://openalex.org/W4300943935"],"related_works":["https://openalex.org/W1991376628","https://openalex.org/W2023596821","https://openalex.org/W1510283712","https://openalex.org/W2015733608","https://openalex.org/W2008967719","https://openalex.org/W2080685063","https://openalex.org/W1970208896","https://openalex.org/W2365710061","https://openalex.org/W2091383165","https://openalex.org/W2333496662"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,95],"establish":[4],"conditions":[5,37,57],"for":[6,21,143],"the":[7,13,23,44,49,53,65,71,77,97,141],"maximal,":[8],"$Pe^2":[9,72,106,153],"$,":[10],"behavior":[11,75],"of":[12,43,48,60,64,76,85,99,121,125],"effective":[14,55,78,108,114,145],"diffusivity":[15,56,79,109,115,146],"in":[16,41,58,102,155],"time-periodic":[17],"incompressible":[18],"velocity":[19,66,129,136],"fields":[20,137],"both":[22],"$Pe":[24,29],"\\to":[25,30],"\\infty":[26],"$":[27,73,82,107,154],"and":[28,80,110,140],"0$":[31],"limits.":[32],"Using":[33],"ergodic":[34],"theory,":[35],"these":[36],"can":[38,116],"be":[39],"interpreted":[40],"terms":[42,59],"Lagrangian":[45],"time":[46],"averages":[47],"velocity.":[50],"We":[51],"reinterpret":[52],"maximal":[54,113],"a":[61,86,103,119,122,126],"Poincar\u00e9":[62],"map":[63],"field.":[67,130],"The":[68],"connection":[69],"between":[70],"asymptotic":[74,83],"$t^2":[81],"dispersion":[84],"nondiffusive":[87],"tracer":[88],"is":[89,158],"established.":[90,159],"Several":[91],"examples":[92],"are":[93,138],"analyzed:":[94],"relate":[96],"existence":[98],"accelerator":[100],"modes":[101],"flow":[104],"with":[105,147],"show":[111],"how":[112],"appear":[117],"as":[118],"result":[120],"time-dependent":[123,134,156],"perturbation":[124],"steady":[127],"cellular":[128],"Also,":[131],"three-dimensional,":[132],"symmetric,":[133],"duct":[135],"analyzed,":[139],"mechanism":[142],"an":[144],"Peclet":[148],"number":[149],"dependence":[150],"other":[151],"than":[152],"flows":[157]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}