{"id":"https://openalex.org/W2946381571","doi":"https://doi.org/10.1137/19m1262620","title":"Justification of the Point Vortex Approximation for Modified Surface Quasi-Geostrophic Equations","display_name":"Justification of the Point Vortex Approximation for Modified Surface Quasi-Geostrophic Equations","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2946381571","doi":"https://doi.org/10.1137/19m1262620","mag":"2946381571"},"language":"en","primary_location":{"id":"doi:10.1137/19m1262620","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1262620","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1905.07351","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017793144","display_name":"Matthew Rosenzweig","orcid":"https://orcid.org/0000-0001-8842-9263"},"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":true,"raw_author_name":"Matthew Rosenzweig","raw_affiliation_strings":["University of Texas at Austin"],"affiliations":[{"raw_affiliation_string":"University of Texas at Austin","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5017793144"],"corresponding_institution_ids":["https://openalex.org/I86519309"],"apc_list":null,"apc_paid":null,"fwci":0.5848,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.58157136,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"52","issue":"2","first_page":"1690","last_page":"1728"},"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9757000207901001,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.972599983215332,"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/inviscid-flow","display_name":"Inviscid flow","score":0.8259470462799072},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.8021852970123291},{"id":"https://openalex.org/keywords/vortex","display_name":"Vortex","score":0.7229315638542175},{"id":"https://openalex.org/keywords/geostrophic-wind","display_name":"Geostrophic wind","score":0.7171304821968079},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5477021932601929},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.48613879084587097},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.42879951000213623},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4276030659675598},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4142204523086548},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3608892858028412},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.3449831008911133},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3361974060535431},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.14612627029418945},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13695168495178223},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.10480457544326782}],"concepts":[{"id":"https://openalex.org/C86252789","wikidata":"https://www.wikidata.org/wiki/Q2247765","display_name":"Inviscid flow","level":2,"score":0.8259470462799072},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.8021852970123291},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.7229315638542175},{"id":"https://openalex.org/C133877212","wikidata":"https://www.wikidata.org/wiki/Q929043","display_name":"Geostrophic wind","level":2,"score":0.7171304821968079},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5477021932601929},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.48613879084587097},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.42879951000213623},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4276030659675598},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4142204523086548},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3608892858028412},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3449831008911133},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3361974060535431},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.14612627029418945},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13695168495178223},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.10480457544326782},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/19m1262620","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1262620","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:1905.07351","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1905.07351","pdf_url":"https://arxiv.org/pdf/1905.07351","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2946381571","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1905.07351.pdf","pdf_url":null,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1905.07351","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1905.07351","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1905.07351","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1905.07351","pdf_url":"https://arxiv.org/pdf/1905.07351","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7639113088","display_name":null,"funder_award_id":"DMS-1516228","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320310620","display_name":"University of Texas at Austin","ror":"https://ror.org/00hj54h04"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2946381571.pdf","grobid_xml":"https://content.openalex.org/works/W2946381571.grobid-xml"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W1488877410","https://openalex.org/W1495727713","https://openalex.org/W1497897727","https://openalex.org/W1531371725","https://openalex.org/W1602939453","https://openalex.org/W1634894341","https://openalex.org/W1820991953","https://openalex.org/W1973955700","https://openalex.org/W1976694225","https://openalex.org/W2002399926","https://openalex.org/W2006455026","https://openalex.org/W2007771487","https://openalex.org/W2018766993","https://openalex.org/W2020628192","https://openalex.org/W2022064238","https://openalex.org/W2028218436","https://openalex.org/W2040898368","https://openalex.org/W2046687069","https://openalex.org/W2047053964","https://openalex.org/W2054723203","https://openalex.org/W2060407365","https://openalex.org/W2066954298","https://openalex.org/W2068060939","https://openalex.org/W2073004871","https://openalex.org/W2073538670","https://openalex.org/W2087742667","https://openalex.org/W2093502939","https://openalex.org/W2099102432","https://openalex.org/W2099711936","https://openalex.org/W2101731201","https://openalex.org/W2102375137","https://openalex.org/W2112287406","https://openalex.org/W2170523565","https://openalex.org/W2296845741","https://openalex.org/W2588503277","https://openalex.org/W2790462381","https://openalex.org/W2804764791","https://openalex.org/W2905327819","https://openalex.org/W2963246686","https://openalex.org/W2963960187","https://openalex.org/W2964039363","https://openalex.org/W3005925013","https://openalex.org/W3005986279","https://openalex.org/W3103152671","https://openalex.org/W4231892786","https://openalex.org/W4246422931"],"related_works":["https://openalex.org/W3016340177","https://openalex.org/W2028436312","https://openalex.org/W2024249904","https://openalex.org/W2757140268","https://openalex.org/W1999557954","https://openalex.org/W3041545545","https://openalex.org/W2808010218","https://openalex.org/W2165422730","https://openalex.org/W248416140","https://openalex.org/W2166763944","https://openalex.org/W3049475671","https://openalex.org/W103523066","https://openalex.org/W3099154404","https://openalex.org/W2051288068","https://openalex.org/W2964015017","https://openalex.org/W3098481518","https://openalex.org/W2575984444","https://openalex.org/W2089561732","https://openalex.org/W3146956805","https://openalex.org/W156532486"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"give":[4],"a":[5],"rigorous":[6],"justification":[7,37],"of":[8,16,42,64],"the":[9,14,27,36,39,43,62],"point":[10],"vortex":[11],"approximation":[12],"to":[13],"family":[15,45],"modified":[17],"surface":[18],"quasi-geostrophic":[19],"(mSQG)":[20],"equations":[21],"globally":[22],"in":[23,25,61],"time":[24],"both":[26],"inviscid":[28],"and":[29,49],"vanishing":[30],"dissipative":[31],"cases.":[32],"This":[33],"result":[34],"completes":[35],"for":[38,53],"remaining":[40],"range":[41],"mSQG":[44],"unaddressed":[46],"by":[47],"Geldhauser":[48],"Romito":[50],"[Point":[51],"Vertices":[52],"Inviscid":[54],"Generalized":[55],"Surface":[56],"Quasi-Geostrophic":[57],"Models,":[58],"arXiv:1812.05166,":[59],"2018]":[60],"case":[63],"identically":[65],"signed":[66],"vortices.":[67]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
