{"id":"https://openalex.org/W3159531476","doi":"https://doi.org/10.1137/21m1427401","title":"On the Ill-Posedness of the Triple Deck Model","display_name":"On the Ill-Posedness of the Triple Deck Model","publication_year":2022,"publication_date":"2022-04-01","ids":{"openalex":"https://openalex.org/W3159531476","doi":"https://doi.org/10.1137/21m1427401","mag":"3159531476"},"language":"en","primary_location":{"id":"doi:10.1137/21m1427401","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1427401","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/2105.02053","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020977883","display_name":"Helge Dietert","orcid":"https://orcid.org/0000-0002-2071-9202"},"institutions":[{"id":"https://openalex.org/I3017942884","display_name":"Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche","ror":"https://ror.org/03fk87k11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I39804081","https://openalex.org/I4210141950"]},{"id":"https://openalex.org/I926574661","display_name":"Leipzig University","ror":"https://ror.org/03s7gtk40","country_code":"DE","type":"education","lineage":["https://openalex.org/I926574661"]}],"countries":["DE","FR"],"is_corresponding":false,"raw_author_name":"Helge Dietert","raw_affiliation_strings":["Universit\u00e4t Leipzig","Institut de Math\u00e9matiques de Jussieu - Paris Rive Gauche"],"raw_orcid":"https://orcid.org/0000-0002-2071-9202","affiliations":[{"raw_affiliation_string":"Universit\u00e4t Leipzig","institution_ids":["https://openalex.org/I926574661"]},{"raw_affiliation_string":"Institut de Math\u00e9matiques de Jussieu - Paris Rive Gauche","institution_ids":["https://openalex.org/I3017942884"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067148779","display_name":"David G\u00e9rard\u2010Varet","orcid":"https://orcid.org/0000-0001-6507-6653"},"institutions":[{"id":"https://openalex.org/I185839726","display_name":"Institut Universitaire de France","ror":"https://ror.org/055khg266","country_code":"FR","type":"education","lineage":["https://openalex.org/I185839726"]},{"id":"https://openalex.org/I3017942884","display_name":"Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche","ror":"https://ror.org/03fk87k11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I39804081","https://openalex.org/I4210141950"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"David G\u00e9rard-Varet","raw_affiliation_strings":["Institut de Math\u00e9matiques de Jussieu - Paris Rive Gauche","Institut Universitaire de France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques de Jussieu - Paris Rive Gauche","institution_ids":["https://openalex.org/I3017942884"]},{"raw_affiliation_string":"Institut Universitaire de France","institution_ids":["https://openalex.org/I185839726"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9479,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.82938019,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"54","issue":"2","first_page":"2611","last_page":"2633"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9987000226974487,"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":0.9987000226974487,"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":0.998199999332428,"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":0.9980999827384949,"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/deck","display_name":"Deck","score":0.7878692150115967},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6428691744804382},{"id":"https://openalex.org/keywords/prandtl-number","display_name":"Prandtl number","score":0.607014536857605},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5770373344421387},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.49196097254753113},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4436284303665161},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3613603711128235},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26314496994018555},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2353518307209015},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.1773976981639862},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.13298314809799194},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09282702207565308}],"concepts":[{"id":"https://openalex.org/C2778966251","wikidata":"https://www.wikidata.org/wiki/Q208123","display_name":"Deck","level":2,"score":0.7878692150115967},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6428691744804382},{"id":"https://openalex.org/C72687893","wikidata":"https://www.wikidata.org/wiki/Q815306","display_name":"Prandtl number","level":3,"score":0.607014536857605},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5770373344421387},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49196097254753113},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4436284303665161},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3613603711128235},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26314496994018555},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2353518307209015},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1773976981639862},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.13298314809799194},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09282702207565308},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/21m1427401","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1427401","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:2105.02053","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2105.02053","pdf_url":"https://arxiv.org/pdf/2105.02053","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":"","raw_type":"text"},{"id":"pmh:oai:HAL:hal-03216356v2","is_oa":true,"landing_page_url":"https://hal.science/hal-03216356","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Mathematical Analysis, 2022, 54 (2), &#x27E8;10.1137/21M1427401&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2105.02053","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2105.02053","pdf_url":"https://arxiv.org/pdf/2105.02053","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1249828677","display_name":"Singular flows: boundary layers, vortex filaments, wave-structure interaction","funder_award_id":"ANR-18-CE40-0027","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320322893","display_name":"Institut Universitaire de France","ror":"https://ror.org/055khg266"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1590377442","https://openalex.org/W1965746474","https://openalex.org/W1967400150","https://openalex.org/W1985356289","https://openalex.org/W1989086970","https://openalex.org/W2000280758","https://openalex.org/W2012091282","https://openalex.org/W2035872038","https://openalex.org/W2038405999","https://openalex.org/W2053009996","https://openalex.org/W2061691319","https://openalex.org/W2151778576","https://openalex.org/W2318302507","https://openalex.org/W2328799684","https://openalex.org/W2761417436","https://openalex.org/W2892923032","https://openalex.org/W2963198321","https://openalex.org/W2963519897","https://openalex.org/W2963888846","https://openalex.org/W2964008533","https://openalex.org/W2990701817","https://openalex.org/W3017239465","https://openalex.org/W3036618640","https://openalex.org/W3103153675","https://openalex.org/W3103651157","https://openalex.org/W3136211873","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2082984609","https://openalex.org/W2090627601","https://openalex.org/W2360284406","https://openalex.org/W4385150657","https://openalex.org/W2374609629","https://openalex.org/W2590396971","https://openalex.org/W2320461077","https://openalex.org/W2403075121","https://openalex.org/W4233523705","https://openalex.org/W2155528228"],"abstract_inverted_index":{"We":[0],"analyze":[1],"the":[2,6,15,24,63,71,78,84],"stability":[3,46],"properties":[4],"of":[5,14,62,70,87,99],"so-called":[7],"triple":[8,64],"deck":[9,65],"model,":[10],"a":[11],"classical":[12],"refinement":[13],"Prandtl":[16],"equation":[17],"to":[18],"describe":[19],"boundary":[20],"layer":[21],"separation.":[22],"Combining":[23],"methodology":[25],"introduced":[26],"in":[27],"[A.-L.":[28],"Dalibard":[29],"et":[30],"al.,":[31],"SIAM":[32],"J.":[33],"Math.":[34],"Anal.,":[35],"50":[36],"(2018),":[37],"pp.":[38,97],"4203--4245],":[39],"based":[40],"on":[41],"complex":[42],"analysis":[43],"tools,":[44],"and":[45,51,89],"estimates":[47],"inspired":[48],"from":[49],"Dietert":[50],"G\u00e9rard-Varet":[52],"[Anal.":[53],"PDE,":[54],"5":[55],"(2019),":[56],"8],":[57],"we":[58],"exhibit":[59],"unstable":[60,73],"linearizations":[61],"equation.":[66],"The":[67],"growth":[68],"rates":[69],"corresponding":[72],"eigenmodes":[74],"scale":[75],"linearly":[76],"with":[77],"tangential":[79],"frequency.":[80],"This":[81],"shows":[82],"that":[83],"recent":[85],"result":[86],"Iyer":[88],"Vicol":[90],"[Comm.":[91],"Pure":[92],"Appl.":[93],"Math.,":[94],"74":[95],"(2021),":[96],"1641--1684]":[98],"local":[100],"well-posedness":[101],"for":[102],"analytic":[103],"data":[104],"is":[105],"essentially":[106],"optimal.":[107]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}
