{"id":"https://openalex.org/W4297726434","doi":"https://doi.org/10.1145/3545839.3545844","title":"A new proposal of power series method to solve the Navier-Stokes equations: application contexts and perspectives","display_name":"A new proposal of power series method to solve the Navier-Stokes equations: application contexts and perspectives","publication_year":2022,"publication_date":"2022-06-17","ids":{"openalex":"https://openalex.org/W4297726434","doi":"https://doi.org/10.1145/3545839.3545844"},"language":"en","primary_location":{"id":"doi:10.1145/3545839.3545844","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3545839.3545844","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 5th International Conference on Mathematics and Statistics","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://bia.unibz.it/esploro/outputs/conferenceProceeding/A-new-proposal-of-power-series/991006490896701241","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047664773","display_name":"Paola Lecca","orcid":"https://orcid.org/0000-0002-7224-136X"},"institutions":[{"id":"https://openalex.org/I171543936","display_name":"Free University of Bozen-Bolzano","ror":"https://ror.org/012ajp527","country_code":"IT","type":"education","lineage":["https://openalex.org/I171543936"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Paola Lecca","raw_affiliation_strings":["Faculty of Computer Science, Free University of Bozen-Bolzano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, Free University of Bozen-Bolzano, Italy","institution_ids":["https://openalex.org/I171543936"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039627791","display_name":"Angela Re","orcid":"https://orcid.org/0000-0002-3179-6967"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]},{"id":"https://openalex.org/I30771326","display_name":"Italian Institute of Technology","ror":"https://ror.org/042t93s57","country_code":"IT","type":"facility","lineage":["https://openalex.org/I30771326"]},{"id":"https://openalex.org/I4210139629","display_name":"Environment Park","ror":"https://ror.org/03te9j613","country_code":"IT","type":"archive","lineage":["https://openalex.org/I4210139629"]},{"id":"https://openalex.org/I4210150908","display_name":"Center for Sustainable Future Technologies","ror":"https://ror.org/05qp1qg36","country_code":"IT","type":"facility","lineage":["https://openalex.org/I30771326","https://openalex.org/I4210150908"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Angela Re","raw_affiliation_strings":["Centre for Sustainable Future Technologies, Fondazione, Istituto Italiano di Tecnologia, Environment Park, Italy and Department of Applied Science and Technology, Politecnico di Torino, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Sustainable Future Technologies, Fondazione, Istituto Italiano di Tecnologia, Environment Park, Italy and Department of Applied Science and Technology, Politecnico di Torino, Italy","institution_ids":["https://openalex.org/I4210150908","https://openalex.org/I177477856","https://openalex.org/I4210139629","https://openalex.org/I30771326"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10653973,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"21","last_page":"35"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9991000294685364,"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":0.9991000294685364,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10104","display_name":"Nanofluid Flow and Heat Transfer","score":0.9937000274658203,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.8153133392333984},{"id":"https://openalex.org/keywords/power-series","display_name":"Power series","score":0.6973056793212891},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.6690266132354736},{"id":"https://openalex.org/keywords/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.5381105542182922},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5291203260421753},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4876309931278229},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46923333406448364},{"id":"https://openalex.org/keywords/conservation-of-mass","display_name":"Conservation of mass","score":0.43253546953201294},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42409494519233704},{"id":"https://openalex.org/keywords/fluid-dynamics","display_name":"Fluid dynamics","score":0.41808751225471497},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.41774508357048035},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.40082815289497375},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34301137924194336},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31612902879714966},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2068762183189392},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.1012793779373169}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8153133392333984},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.6973056793212891},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6690266132354736},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.5381105542182922},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5291203260421753},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4876309931278229},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46923333406448364},{"id":"https://openalex.org/C157206272","wikidata":"https://www.wikidata.org/wiki/Q483948","display_name":"Conservation of mass","level":2,"score":0.43253546953201294},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42409494519233704},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.41808751225471497},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.41774508357048035},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.40082815289497375},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34301137924194336},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31612902879714966},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2068762183189392},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1012793779373169},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3545839.3545844","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3545839.3545844","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 5th International Conference on Mathematics and Statistics","raw_type":"proceedings-article"},{"id":"pmh:oai:unibz.it:11292778300001241","is_oa":true,"landing_page_url":"https://bia.unibz.it/esploro/outputs/conferenceProceeding/A-new-proposal-of-power-series/991006490896701241","pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"View","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:unibz.it:11292778300001241","is_oa":true,"landing_page_url":"https://bia.unibz.it/esploro/outputs/conferenceProceeding/A-new-proposal-of-power-series/991006490896701241","pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"View","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":61,"referenced_works":["https://openalex.org/W273642483","https://openalex.org/W616225202","https://openalex.org/W1555627060","https://openalex.org/W1985817879","https://openalex.org/W1987761593","https://openalex.org/W1988891641","https://openalex.org/W2003654949","https://openalex.org/W2004931082","https://openalex.org/W2009455882","https://openalex.org/W2009872297","https://openalex.org/W2013277595","https://openalex.org/W2016961231","https://openalex.org/W2025592354","https://openalex.org/W2036623811","https://openalex.org/W2050610490","https://openalex.org/W2053543922","https://openalex.org/W2076582418","https://openalex.org/W2080922987","https://openalex.org/W2082311321","https://openalex.org/W2083342349","https://openalex.org/W2087404487","https://openalex.org/W2103566196","https://openalex.org/W2106040360","https://openalex.org/W2141577168","https://openalex.org/W2150549799","https://openalex.org/W2150766400","https://openalex.org/W2325304209","https://openalex.org/W2346091668","https://openalex.org/W2403334663","https://openalex.org/W2538523722","https://openalex.org/W2548635687","https://openalex.org/W2551891825","https://openalex.org/W2553549812","https://openalex.org/W2563751010","https://openalex.org/W2575983139","https://openalex.org/W2740770692","https://openalex.org/W2890512769","https://openalex.org/W2913175532","https://openalex.org/W2914418309","https://openalex.org/W2916250957","https://openalex.org/W2962723841","https://openalex.org/W2963204934","https://openalex.org/W2965612715","https://openalex.org/W3003990368","https://openalex.org/W3019009969","https://openalex.org/W3033370949","https://openalex.org/W3083911355","https://openalex.org/W3087418049","https://openalex.org/W3105060540","https://openalex.org/W3180308207","https://openalex.org/W3202304191","https://openalex.org/W4200469736","https://openalex.org/W4205106801","https://openalex.org/W4206065904","https://openalex.org/W4210596909","https://openalex.org/W4251254470","https://openalex.org/W4252388400","https://openalex.org/W4297162517","https://openalex.org/W4300712473","https://openalex.org/W4383877227","https://openalex.org/W6772470503"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W4301247218","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W2129818458","https://openalex.org/W4289551052","https://openalex.org/W4238094165","https://openalex.org/W2143146578","https://openalex.org/W3080913109"],"abstract_inverted_index":{"In":[0,116],"this":[1,26],"work":[2],"we":[3,91,122,145],"investigate":[4],"the":[5,9,12,46,60,63,69,76,79,84,97,106,124,152,161,176,202,206,212,214,223,226],"possibility":[6],"of":[7,11,35,49,62,83,108,110,120,137,139,154,169,175,228],"expressing":[8],"solution":[10,38,85,217,230],"Navier-Stokes":[13,125],"equations":[14,126],"as":[15,86,181],"a":[16,37,50,87,128,147,167,185,229,242],"power":[17,88,215,232],"series.":[18,89],"Although":[19],"there":[20],"have":[21],"been":[22],"many":[23],"studies":[24],"on":[25,96,201,209],"subject,":[27],"it":[28,189,240],"is":[29,166,218,241],"still":[30],"much":[31],"debated.":[32],"The":[33,58,163],"existence":[34,80],"such":[36,180],"and":[39,72,81,99,113,131,142,144,172,190,205,210,225],"its":[40,193],"uniqueness":[41,82],"are":[42,75],"debated,":[43],"especially":[44],"in":[45,53,160,211,231,247],"general":[47],"case":[48,250],"non-stationary":[51,132],"fluid":[52,64,133],"two":[54],"or":[55],"three":[56],"dimensions.":[57],"greater":[59],"complexity":[61],"dynamical":[65],"phenomenon":[66],"under":[67,198],"consideration,":[68],"more":[70],"controversial":[71],"therefore":[73],"uncertain":[74],"deductions":[77],"about":[78,192],"Here,":[90],"ask":[92],"some":[93],"crucial":[94],"questions":[95],"matter":[98],"try":[100],"to":[101,187],"give":[102],"an":[103],"answer":[104],"from":[105,134],"point":[107],"view":[109],"applied":[111],"mathematics":[112],"numerical":[114],"analysis.":[115],"particular,":[117],"by":[118,238],"way":[119,244],"example,":[121],"construct":[123],"for":[127,151],"compressible,":[129],"multicomponent":[130],"elementary":[135],"principles":[136],"conservation":[138],"mass,":[140],"momentum":[141],"energy,":[143],"introduce":[146],"bump":[148,164,203],"function":[149,165,168],"model":[150],"presence":[153],"different":[155,158],"components":[156,177],"and/or":[157],"phases":[159],"fluid.":[162],"space,":[170],"time":[171],"physical":[173],"characteristics":[174],"(and/or":[178],"phases)":[179],"density.":[182],"We":[183,195,220],"present":[184],"method":[186],"calculate":[188],"discuss":[191,222],"uniqueness.":[194],"show":[196],"that":[197],"certain":[199],"conditions":[200],"function,":[204],"forces":[207],"acting":[208],"fluid,":[213],"series":[216],"unique.":[219],"finally":[221],"advantages":[224],"limitations":[227],"series,":[233],"concluding":[234],"that,":[235],"although":[236],"plagued":[237],"limitations,":[239],"viable":[243],"forward":[245],"even":[246],"highly":[248],"complex":[249],"studies.":[251]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}