{"id":"https://openalex.org/W3184001747","doi":"https://doi.org/10.1137/23m155222x","title":"Mixing for Generic Rough Shear Flows","display_name":"Mixing for Generic Rough Shear Flows","publication_year":2023,"publication_date":"2023-11-07","ids":{"openalex":"https://openalex.org/W3184001747","doi":"https://doi.org/10.1137/23m155222x","mag":"3184001747"},"language":"en","primary_location":{"id":"doi:10.1137/23m155222x","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/23m155222x","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":"http://infoscience.epfl.ch/record/308661","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006749463","display_name":"Lucio Galeati","orcid":"https://orcid.org/0000-0001-8187-9245"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Lucio Galeati","raw_affiliation_strings":["AMCV Group, EPFL Lausanne, 1015 Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"AMCV Group, EPFL Lausanne, 1015 Lausanne, Switzerland","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002317619","display_name":"Massimiliano Gubinelli","orcid":"https://orcid.org/0000-0002-4014-2949"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Massimiliano Gubinelli","raw_affiliation_strings":["Mathematical Institute, University of Oxford, Oxford OX2 6GG, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Oxford, Oxford OX2 6GG, United Kingdom","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5006749463"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0732,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68261735,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"55","issue":"6","first_page":"7240","last_page":"7272"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.998199999332428,"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":0.998199999332428,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9883000254631042,"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/T10067","display_name":"Stochastic processes and financial applications","score":0.9596999883651733,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/inviscid-flow","display_name":"Inviscid flow","score":0.9543176889419556},{"id":"https://openalex.org/keywords/mixing","display_name":"Mixing (physics)","score":0.8248625993728638},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6762930154800415},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4658423662185669},{"id":"https://openalex.org/keywords/dissipation","display_name":"Dissipation","score":0.46067580580711365},{"id":"https://openalex.org/keywords/shear","display_name":"Shear (geology)","score":0.44429585337638855},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.42419230937957764},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38705211877822876},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3289848864078522},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.19189757108688354},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.17206624150276184},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1197214126586914},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.05655398964881897}],"concepts":[{"id":"https://openalex.org/C86252789","wikidata":"https://www.wikidata.org/wiki/Q2247765","display_name":"Inviscid flow","level":2,"score":0.9543176889419556},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.8248625993728638},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6762930154800415},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4658423662185669},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.46067580580711365},{"id":"https://openalex.org/C96035792","wikidata":"https://www.wikidata.org/wiki/Q43606218","display_name":"Shear (geology)","level":2,"score":0.44429585337638855},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.42419230937957764},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38705211877822876},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3289848864078522},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.19189757108688354},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.17206624150276184},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1197214126586914},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.05655398964881897},{"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/C5900021","wikidata":"https://www.wikidata.org/wiki/Q163082","display_name":"Petrology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/23m155222x","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/23m155222x","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:infoscience.epfl.ch:308661","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/308661","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"WoS","raw_type":"research article"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:308661","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/308661","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"WoS","raw_type":"research article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3655418302","display_name":null,"funder_award_id":"CRC 1060","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G687830878","display_name":null,"funder_award_id":"EXC-2047/1-390685813","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G8118356716","display_name":null,"funder_award_id":"211504053","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W166242285","https://openalex.org/W246015835","https://openalex.org/W835076124","https://openalex.org/W1546342646","https://openalex.org/W1554577510","https://openalex.org/W1938003173","https://openalex.org/W1941432311","https://openalex.org/W1983028847","https://openalex.org/W1998045092","https://openalex.org/W2011796652","https://openalex.org/W2013722052","https://openalex.org/W2021265085","https://openalex.org/W2023110771","https://openalex.org/W2035449125","https://openalex.org/W2038598995","https://openalex.org/W2112250505","https://openalex.org/W2125431827","https://openalex.org/W2133995075","https://openalex.org/W2136250419","https://openalex.org/W2154627175","https://openalex.org/W2271999072","https://openalex.org/W2282582044","https://openalex.org/W2284159715","https://openalex.org/W2416392160","https://openalex.org/W2596601497","https://openalex.org/W2597407549","https://openalex.org/W2806151361","https://openalex.org/W2902444779","https://openalex.org/W2949328167","https://openalex.org/W2949768529","https://openalex.org/W2963709756","https://openalex.org/W2963856888","https://openalex.org/W2964267134","https://openalex.org/W2975619651","https://openalex.org/W2991180617","https://openalex.org/W3011175734","https://openalex.org/W3015138867","https://openalex.org/W3015980083","https://openalex.org/W3043921992","https://openalex.org/W3080250954","https://openalex.org/W3088994988","https://openalex.org/W3092143728","https://openalex.org/W3098064140","https://openalex.org/W3098658577","https://openalex.org/W3102134589","https://openalex.org/W3103244781","https://openalex.org/W3105207339","https://openalex.org/W3105919586","https://openalex.org/W3122228854","https://openalex.org/W3151469632","https://openalex.org/W3162505712","https://openalex.org/W4244823317","https://openalex.org/W4249571512","https://openalex.org/W4297834176"],"related_works":["https://openalex.org/W1486213812","https://openalex.org/W2804509140","https://openalex.org/W1644877668","https://openalex.org/W2963995572","https://openalex.org/W1602020813","https://openalex.org/W3186153824","https://openalex.org/W4324319056","https://openalex.org/W2415733166","https://openalex.org/W2151502314","https://openalex.org/W2100454106"],"abstract_inverted_index":{"We":[0,37],"study":[1],"mixing":[2,48,75],"and":[3,24,40,87,96,109],"diffusion":[4],"properties":[5],"of":[6,22,81],"passive":[7],"scalars":[8],"driven":[9],"by":[10,85,106],"generic":[11],"rough":[12],"shear":[13],"flows.":[14],"Genericity":[15],"is":[16,26],"here":[17],"understood":[18],"in":[19,28,45,49,72],"the":[20,29,73,79,103],"sense":[21],"prevalence,":[23],"(ir)regularity":[25],"measured":[27],"Besov-Nikolskii":[30],"scale":[31],"B\\\\alpha":[32],"1,\\\\infty,":[33],"\\\\alpha":[34],"\\\\in":[35],"(0,1).":[36],"provide":[38,97],"upper":[39],"lower":[41],"bounds,":[42],"showing":[43],"that,":[44],"general,":[46],"inviscid":[47,74],"H1/2":[50],"holds":[51,62],"sharply":[52],"with":[53,63],"rate":[54,64],"r(t)":[55],"\\\\sim":[56,66],"t1/(2\\\\alpha":[57],"),":[58],"while":[59],"enhanced":[60],"dissipation":[61],"r(\\\\nu)":[65],"\\\\nu\\\\alpha":[67],"/(\\\\alpha":[68],"+2).":[69],"Our":[70],"results":[71],"case":[76],"rely":[77],"on":[78],"concept":[80],"\\\\rho-irregularity,":[82],"first":[83],"introduced":[84],"Catellier":[86],"Gubinelli":[88],"[Stochastic":[89],"Process.":[90],"Appl.,":[91],"126":[92],"(2016),":[93],"pp.":[94],"2323-2366],":[95],"some":[98],"new":[99],"insights":[100],"compared":[101],"to":[102],"behavior":[104],"predicted":[105],"Colombo,":[107],"Zelati,":[108],"Widmayer":[110],"[Ars":[111],"Inveniendi":[112],"Anal.":[113],"(2021)].":[114]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-12-25T23:11:45.687758","created_date":"2025-10-10T00:00:00"}