{"id":"https://openalex.org/W4406091313","doi":"https://doi.org/10.1137/24m1635661","title":"Effective Velocity and \\({L^\\infty }\\)-based Well-Posedness for Incompressible Fluids with Odd Viscosity","display_name":"Effective Velocity and \\({L^\\infty }\\)-based Well-Posedness for Incompressible Fluids with Odd Viscosity","publication_year":2025,"publication_date":"2025-01-06","ids":{"openalex":"https://openalex.org/W4406091313","doi":"https://doi.org/10.1137/24m1635661"},"language":"en","primary_location":{"id":"doi:10.1137/24m1635661","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1635661","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://bird.bcamath.org/bitstream/20.500.11824/1912/1/F-V_odd-full_BCAM.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040493763","display_name":"Francesco Fanelli","orcid":"https://orcid.org/0000-0003-0606-7241"},"institutions":[{"id":"https://openalex.org/I110594554","display_name":"Ikerbasque","ror":"https://ror.org/01cc3fy72","country_code":"ES","type":"other","lineage":["https://openalex.org/I110594554"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Francesco Fanelli","raw_affiliation_strings":["Basque Center for Applied Mathematics and Ikerbasque, Basque Foundation for Science, Bilbao, Spain"],"raw_orcid":"https://orcid.org/0000-0003-0606-7241","affiliations":[{"raw_affiliation_string":"Basque Center for Applied Mathematics and Ikerbasque, Basque Foundation for Science, Bilbao, Spain","institution_ids":["https://openalex.org/I110594554"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033336385","display_name":"Alexis Vasseur","orcid":null},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alexis F. Vasseur","raw_affiliation_strings":["Department of Mathematics, University of Texas at Austin, Austin, TX 78712 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Texas at Austin, Austin, TX 78712 USA","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5040493763"],"corresponding_institution_ids":["https://openalex.org/I110594554"],"apc_list":null,"apc_paid":null,"fwci":10.0725,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.97154869,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"57","issue":"1","first_page":"153","last_page":"189"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9995999932289124,"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":0.9995999932289124,"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/T11366","display_name":"Elasticity and Material Modeling","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9944000244140625,"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":0.7511853575706482},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.69085693359375},{"id":"https://openalex.org/keywords/viscosity","display_name":"Viscosity","score":0.659171462059021},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5391197204589844},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.19555073976516724},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1882895827293396},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.12381526827812195}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7511853575706482},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.69085693359375},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.659171462059021},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5391197204589844},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.19555073976516724},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1882895827293396},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.12381526827812195}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/24m1635661","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1635661","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:bird.bcamath.org:20.500.11824/1912","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11824/1912","pdf_url":"https://bird.bcamath.org/bitstream/20.500.11824/1912/1/F-V_odd-full_BCAM.pdf","source":{"id":"https://openalex.org/S4306401608","display_name":"BIRD (Basque Center for Applied Mathematics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2802176441","host_organization_name":"Basque Center for Applied Mathematics","host_organization_lineage":["https://openalex.org/I2802176441"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:bird.bcamath.org:20.500.11824/1912","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11824/1912","pdf_url":"https://bird.bcamath.org/bitstream/20.500.11824/1912/1/F-V_odd-full_BCAM.pdf","source":{"id":"https://openalex.org/S4306401608","display_name":"BIRD (Basque Center for Applied Mathematics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2802176441","host_organization_name":"Basque Center for Applied Mathematics","host_organization_lineage":["https://openalex.org/I2802176441"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1161975333","display_name":"Critical Regularity, Interfaces, Scale Interactions and Singularities in the dynamics of non-homogeneous fluids","funder_award_id":"ANR-20-CE40-0020","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G4144808793","display_name":null,"funder_award_id":"2306852","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8797394126","display_name":null,"funder_award_id":"ANR-20-CE40-0020-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4406091313.pdf"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W166242285","https://openalex.org/W1489373617","https://openalex.org/W1553227124","https://openalex.org/W1785317621","https://openalex.org/W1975933690","https://openalex.org/W1989231059","https://openalex.org/W1989271293","https://openalex.org/W1989534021","https://openalex.org/W1999307350","https://openalex.org/W2010799484","https://openalex.org/W2024482949","https://openalex.org/W2028479871","https://openalex.org/W2030587235","https://openalex.org/W2067143447","https://openalex.org/W2093110305","https://openalex.org/W2119624667","https://openalex.org/W2136582280","https://openalex.org/W2487275477","https://openalex.org/W2595122526","https://openalex.org/W2963693218","https://openalex.org/W2963911010","https://openalex.org/W3089107865","https://openalex.org/W3093558111","https://openalex.org/W3101255108","https://openalex.org/W3135334532","https://openalex.org/W3181209001","https://openalex.org/W3195034625","https://openalex.org/W4230585119","https://openalex.org/W4310616844"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"The":[0],"present":[1],"paper":[2],"is":[3,160],"concerned":[4],"with":[5,92],"the":[6,25,32,44,51,54,58,61,68,82,93,96,103,107,130,133,140,157,170],"well-posedness":[7,115],"theory":[8,116],"for":[9,129,152],"non-homogeneous":[10],"incompressible":[11],"fluids":[12],"exhibiting":[13],"odd":[14,27],"(non-dissipative)":[15],"viscosity":[16,28],"effects.":[17],"Differently":[18],"from":[19],"previous":[20],"works,":[21],"we":[22,42,76,109],"consider":[23],"here":[24],"full":[26],"tensor.":[29],"Similarly":[30],"to":[31,163],"work":[33],"of":[34,46,57,63,67,72,81,85,95,102,106,132,142],"Bresch":[35],"and":[36,60,124],"Desjardins":[37],"in":[38,50,113,117,139],"compressible":[39],"fluid":[40,59],"mechanics,":[41],"identify":[43],"presence":[45],"an":[47],"effective":[48,74],"velocity":[49,55],"system,":[52],"linking":[53],"field":[56],"gradient":[62],"a":[64,78,89,111,126],"suitable":[65],"function":[66],"density.":[69],"By":[70,99],"use":[71],"this":[73],"velocity,":[75],"propose":[77],"new":[79,104],"formulation":[80,105],"original":[83],"system":[84],"equations,":[86,108],"thus":[87],"highlighting":[88],"strong":[90],"similarity":[91],"equations":[94],"ideal":[97],"magnetohydrodynamics.":[98],"taking":[100],"advantage":[101],"establish":[110],"local":[112],"time":[114,165],"Besov":[118],"spaces":[119],"based":[120],"on":[121],"L":[122],"\u221e":[123],"prove":[125],"lower":[127],"bound":[128],"lifespan":[131],"solutions":[134],"implying":[135],"\u201casymptotically":[136],"global\u201d":[137],"existence:":[138],"regime":[141],"small":[143,153],"initial":[144],"density":[145],"variations,":[146],"\u03c10":[147],"\u2212":[148],"1":[149],"=":[150],"O(\u03b5)":[151],"\u03b5":[154,176],">":[155,167],"0,":[156],"corresponding":[158],"solution":[159],"defined":[161],"up":[162],"some":[164],"T\u03b5":[166,172],"0":[168,178],"satisfying":[169],"property":[171],"\u2212\u2192":[173],"+\u221e":[174],"when":[175],"\u2192":[177],"+.":[179]},"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2025-12-27T23:08:20.325037","created_date":"2025-10-10T00:00:00"}
