{"id":"https://openalex.org/W2912531604","doi":"https://doi.org/10.1137/19m1252958","title":"On the Low Mach Number Limit for Quantum Navier--Stokes Equations","display_name":"On the Low Mach Number Limit for Quantum Navier--Stokes Equations","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2912531604","doi":"https://doi.org/10.1137/19m1252958","mag":"2912531604"},"language":"en","primary_location":{"id":"doi:10.1137/19m1252958","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1252958","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1902.00402","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088537602","display_name":"Paolo Antonelli","orcid":"https://orcid.org/0000-0001-8211-8296"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Paolo Antonelli","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083188435","display_name":"Lars Eric Hientzsch","orcid":"https://orcid.org/0000-0002-5001-9530"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lars Eric Hientzsch","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5061123335","display_name":"Pierangelo Marcati","orcid":"https://orcid.org/0000-0001-6528-6562"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pierangelo Marcati","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5088537602"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.1292,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.91382159,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"52","issue":"6","first_page":"6105","last_page":"6139"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.9987999796867371,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.984000027179718,"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/mach-number","display_name":"Mach number","score":0.7584288120269775},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6219883561134338},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5691261887550354},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.5548862218856812},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5284982323646545},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.49205487966537476},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.44401639699935913},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4364944398403168},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.42372533679008484},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4170834422111511},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.41198989748954773},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.3474733233451843},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.32613372802734375},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.10168856382369995}],"concepts":[{"id":"https://openalex.org/C165231844","wikidata":"https://www.wikidata.org/wiki/Q160669","display_name":"Mach number","level":2,"score":0.7584288120269775},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6219883561134338},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5691261887550354},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5548862218856812},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5284982323646545},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49205487966537476},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.44401639699935913},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4364944398403168},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.42372533679008484},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4170834422111511},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.41198989748954773},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3474733233451843},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.32613372802734375},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.10168856382369995},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/19m1252958","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1252958","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:arXiv.org:1902.00402","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.00402","pdf_url":"https://arxiv.org/pdf/1902.00402","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:pub.uni-bielefeld.de:2958318","is_oa":false,"landing_page_url":"https://pub.uni-bielefeld.de/record/2958318","pdf_url":null,"source":{"id":"https://openalex.org/S4306401670","display_name":"PUB \u2013 Publications at Bielefeld University (Bielefeld University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I20121455","host_organization_name":"Bielefeld University","host_organization_lineage":["https://openalex.org/I20121455"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"http://purl.org/coar/resource_type/c_6501"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1902.00402","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.00402","pdf_url":"https://arxiv.org/pdf/1902.00402","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.7099999785423279,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G4821329654","display_name":null,"funder_award_id":"GNAMPA","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""},{"id":"https://openalex.org/G5489438895","display_name":null,"funder_award_id":"2015YCJY3A 003","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"},{"id":"https://openalex.org/F4320333369","display_name":"Gruppo Nazionale per l'Analisi Matematica, la Probabilit\u00e0 e le loro Applicazioni","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W846688333","https://openalex.org/W1643641630","https://openalex.org/W1969543804","https://openalex.org/W1978272161","https://openalex.org/W2004895036","https://openalex.org/W2012907670","https://openalex.org/W2021964921","https://openalex.org/W2030414149","https://openalex.org/W2030587235","https://openalex.org/W2035568159","https://openalex.org/W2047695205","https://openalex.org/W2070905069","https://openalex.org/W2089174520","https://openalex.org/W2093389359","https://openalex.org/W2102327241","https://openalex.org/W2104053738","https://openalex.org/W2105572788","https://openalex.org/W2108543319","https://openalex.org/W2115996101","https://openalex.org/W2119624667","https://openalex.org/W2123362841","https://openalex.org/W2178390311","https://openalex.org/W2331678697","https://openalex.org/W2332945974","https://openalex.org/W2333525456","https://openalex.org/W2371877089","https://openalex.org/W2475923818","https://openalex.org/W2772010760","https://openalex.org/W2788436784","https://openalex.org/W2886419617","https://openalex.org/W2896149236","https://openalex.org/W2950242141","https://openalex.org/W2963192021","https://openalex.org/W2963281939","https://openalex.org/W2963498551","https://openalex.org/W2963531532","https://openalex.org/W2964208953","https://openalex.org/W2997661027","https://openalex.org/W3099128717","https://openalex.org/W3101393765","https://openalex.org/W3101635687","https://openalex.org/W3102226650","https://openalex.org/W3103450208","https://openalex.org/W3103710180","https://openalex.org/W3127062932","https://openalex.org/W4297927036"],"related_works":["https://openalex.org/W2106588692","https://openalex.org/W2025089220","https://openalex.org/W2014216602","https://openalex.org/W2560631265","https://openalex.org/W2013864392","https://openalex.org/W2012983134","https://openalex.org/W2188135746","https://openalex.org/W2163103544","https://openalex.org/W2551182807","https://openalex.org/W3033899355"],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2,8,31,45,50,56,60,71,74,80,89,99,109,125],"low":[3],"Mach":[4],"number":[5],"limit":[6,100],"for":[7,44,55,93,124],"three-dimensional":[9],"quantum":[10],"Navier--Stokes":[11,33],"system.":[12],"For":[13],"general":[14],"ill-prepared":[15],"initial":[16],"data,":[17],"we":[18,66,96],"prove":[19],"strong":[20,90],"convergence":[21],"of":[22,30,59,70,127],"finite":[23],"energy":[24,81,110],"weak":[25,28,104],"solutions":[26,29],"to":[27,88,122],"incompressible":[32],"equations.":[34],"Our":[35],"approach":[36],"relies":[37],"on":[38],"a":[39,68,75,102],"quite":[40],"accurate":[41],"dispersive":[42],"analysis":[43],"acoustic":[46,72],"part,":[47],"governed":[48],"by":[49,79],"well-known":[51],"Bogoliubov":[52],"dispersion":[53],"relation":[54],"elementary":[57],"excitations":[58],"weakly":[61],"interacting":[62],"Bose":[63],"gas.":[64],"Once":[65],"have":[67],"control":[69],"dispersion,":[73],"priori":[76],"bounds":[77],"provided":[78],"and":[82],"Bresch--Desjardins":[83],"entropy":[84,129],"type":[85],"estimates":[86],"lead":[87],"convergence.":[91],"Moreover,":[92],"well-prepared":[94],"data":[95],"show":[97],"that":[98],"is":[101],"Leray":[103],"solution,":[105],"namely,":[106],"it":[107],"satisfies":[108],"inequality.":[111],"Solutions":[112],"under":[113],"consideration":[114],"in":[115],"this":[116],"paper":[117],"are":[118],"not":[119],"smooth":[120],"enough":[121],"allow":[123],"use":[126],"relative":[128],"techniques.":[130]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}