{"id":"https://openalex.org/W1811171811","doi":"https://doi.org/10.1137/15m100729x","title":"Oscillatory Convection in Rotating Spherical Shells: Low Prandtl Number and Non-Slip Boundary Conditions","display_name":"Oscillatory Convection in Rotating Spherical Shells: Low Prandtl Number and Non-Slip Boundary Conditions","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W1811171811","doi":"https://doi.org/10.1137/15m100729x","mag":"1811171811"},"language":"en","primary_location":{"id":"doi:10.1137/15m100729x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m100729x","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"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 Applied Dynamical Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/2117/82104","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052683481","display_name":"Ferran Garcia","orcid":"https://orcid.org/0000-0003-4507-0486"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"F. Garcia","raw_affiliation_strings":["Dept. de F\u00edsica Aplicada, Universitat Polit\u00e8cnica de Catalunya, Campus Nord, M\u00f2dul B4, Jordi Girona Salgado 1-3, 08034 Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. de F\u00edsica Aplicada, Universitat Polit\u00e8cnica de Catalunya, Campus Nord, M\u00f2dul B4, Jordi Girona Salgado 1-3, 08034 Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074218962","display_name":"J. S\u00e1nchez","orcid":"https://orcid.org/0000-0002-3271-8012"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. S\u00e1nchez","raw_affiliation_strings":["Dept. de F\u00edsica Aplicada, Universitat Polit\u00e8cnica de Catalunya, Campus Nord, M\u00f2dul B4, Jordi Girona Salgado 1-3, 08034 Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. de F\u00edsica Aplicada, Universitat Polit\u00e8cnica de Catalunya, Campus Nord, M\u00f2dul B4, Jordi Girona Salgado 1-3, 08034 Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025634478","display_name":"Emmanuel Dormy","orcid":"https://orcid.org/0000-0002-9683-6173"},"institutions":[{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"E. Dormy","raw_affiliation_strings":["MAG, LRA, D\u00e9partement de Physique, Ecole Normale Sup\u00e9rieure, 24 rue Lhomond, 75005 Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MAG, LRA, D\u00e9partement de Physique, Ecole Normale Sup\u00e9rieure, 24 rue Lhomond, 75005 Paris, France","institution_ids":["https://openalex.org/I29607241"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074045082","display_name":"M. Net","orcid":"https://orcid.org/0000-0002-8034-1854"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. Net","raw_affiliation_strings":["Dept. de F\u00edsica Aplicada, Universitat Polit\u00e8cnica de Catalunya, Campus Nord, M\u00f2dul B4, Jordi Girona Salgado 1-3, 08034 Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. de F\u00edsica Aplicada, Universitat Polit\u00e8cnica de Catalunya, Campus Nord, M\u00f2dul B4, Jordi Girona Salgado 1-3, 08034 Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025634478"],"corresponding_institution_ids":["https://openalex.org/I29607241"],"apc_list":null,"apc_paid":null,"fwci":0.2956,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.60420636,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"14","issue":"4","first_page":"1787","last_page":"1807"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11786","display_name":"Geomagnetism and Paleomagnetism Studies","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T11786","display_name":"Geomagnetism and Paleomagnetism Studies","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10251","display_name":"Solar and Space Plasma Dynamics","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T12976","display_name":"Magnetic and Electromagnetic Effects","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/1314","display_name":"Physiology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/prandtl-number","display_name":"Prandtl number","score":0.872795581817627},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.711108922958374},{"id":"https://openalex.org/keywords/rayleigh-number","display_name":"Rayleigh number","score":0.599838376045227},{"id":"https://openalex.org/keywords/spherical-shell","display_name":"Spherical shell","score":0.5738323330879211},{"id":"https://openalex.org/keywords/convection","display_name":"Convection","score":0.5569637417793274},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.43297675251960754},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.42335301637649536},{"id":"https://openalex.org/keywords/ekman-number","display_name":"Ekman number","score":0.41601887345314026},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.41488519310951233},{"id":"https://openalex.org/keywords/natural-convection","display_name":"Natural convection","score":0.357577383518219},{"id":"https://openalex.org/keywords/shell","display_name":"Shell (structure)","score":0.25474175810813904},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.06491434574127197}],"concepts":[{"id":"https://openalex.org/C72687893","wikidata":"https://www.wikidata.org/wiki/Q815306","display_name":"Prandtl number","level":3,"score":0.872795581817627},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.711108922958374},{"id":"https://openalex.org/C106836276","wikidata":"https://www.wikidata.org/wiki/Q898249","display_name":"Rayleigh number","level":4,"score":0.599838376045227},{"id":"https://openalex.org/C108280814","wikidata":"https://www.wikidata.org/wiki/Q12137","display_name":"Spherical shell","level":3,"score":0.5738323330879211},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.5569637417793274},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.43297675251960754},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.42335301637649536},{"id":"https://openalex.org/C41525736","wikidata":"https://www.wikidata.org/wiki/Q1323330","display_name":"Ekman number","level":3,"score":0.41601887345314026},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.41488519310951233},{"id":"https://openalex.org/C54791560","wikidata":"https://www.wikidata.org/wiki/Q3285020","display_name":"Natural convection","level":3,"score":0.357577383518219},{"id":"https://openalex.org/C2781052500","wikidata":"https://www.wikidata.org/wiki/Q2230313","display_name":"Shell (structure)","level":2,"score":0.25474175810813904},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.06491434574127197},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/15m100729x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m100729x","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"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 Applied Dynamical Systems","raw_type":"journal-article"},{"id":"pmh:oai:upcommons.upc.edu:2117/82104","is_oa":true,"landing_page_url":"https://hdl.handle.net/2117/82104","pdf_url":null,"source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:dnet:upcommonspor::7b0965993b9e5ada5072c2d3f2ec6a14","is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/82104","pdf_url":"http://hdl.handle.net/2117/82104","source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:upcommons.upc.edu:2117/82104","is_oa":true,"landing_page_url":"https://hdl.handle.net/2117/82104","pdf_url":null,"source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1610552973","display_name":null,"funder_award_id":"10-LABX-0098","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3859112153","display_name":null,"funder_award_id":"ANR-10-LABX-0098","funder_id":"https://openalex.org/F4320328290","funder_display_name":"Fondation Sciences Math\u00e9matiques de Paris"},{"id":"https://openalex.org/G5043543010","display_name":null,"funder_award_id":"10-EQPX-29-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G676769616","display_name":null,"funder_award_id":"ANR-10-EQPX-29-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G7240651115","display_name":null,"funder_award_id":"ANR-10","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G7320182272","display_name":"Fondation Sciences Math\u00e9matiques de Paris","funder_award_id":"ANR-10-LABX-0098","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G734405425","display_name":null,"funder_award_id":"2014-SGR-1145","funder_id":"https://openalex.org/F4320334830","funder_display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca"},{"id":"https://openalex.org/G8510727784","display_name":null,"funder_award_id":"ANR-10-EQPX","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/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320328290","display_name":"Fondation Sciences Math\u00e9matiques de Paris","ror":null},{"id":"https://openalex.org/F4320334830","display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca","ror":"https://ror.org/01n4pqe45"},{"id":"https://openalex.org/F4320335160","display_name":"Direcci\u00f3n General de Investigaci\u00f3n Cient\u00edfica y T\u00e9cnica","ror":"https://ror.org/034900433"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1588238889","https://openalex.org/W1767253932","https://openalex.org/W1924769100","https://openalex.org/W1976693515","https://openalex.org/W1981810300","https://openalex.org/W1991647264","https://openalex.org/W1992188998","https://openalex.org/W1995709749","https://openalex.org/W2002608956","https://openalex.org/W2006214166","https://openalex.org/W2007370555","https://openalex.org/W2007648118","https://openalex.org/W2009074387","https://openalex.org/W2011496986","https://openalex.org/W2014113799","https://openalex.org/W2018072790","https://openalex.org/W2035092510","https://openalex.org/W2036658452","https://openalex.org/W2037180218","https://openalex.org/W2037398357","https://openalex.org/W2042296555","https://openalex.org/W2042944174","https://openalex.org/W2058232818","https://openalex.org/W2072537659","https://openalex.org/W2073061372","https://openalex.org/W2076504380","https://openalex.org/W2093206488","https://openalex.org/W2102182691","https://openalex.org/W2127026119","https://openalex.org/W2129862653","https://openalex.org/W2133683553","https://openalex.org/W2139080848","https://openalex.org/W2141342234","https://openalex.org/W2145970211","https://openalex.org/W2153084480","https://openalex.org/W2159038614","https://openalex.org/W2169933335","https://openalex.org/W2321696680","https://openalex.org/W4240145381"],"related_works":["https://openalex.org/W2295618585","https://openalex.org/W3022851647","https://openalex.org/W1973994006","https://openalex.org/W2049083135","https://openalex.org/W4385261687","https://openalex.org/W2090828157","https://openalex.org/W2018472114","https://openalex.org/W1970136213","https://openalex.org/W1991378147","https://openalex.org/W1964847811"],"abstract_inverted_index":{"A":[0,36],"five-degree":[1],"model,":[2],"which":[3],"reproduces":[4],"faithfully":[5],"the":[6,11,20,103],"sequence":[7,110],"of":[8,13,19,41,50,83,93,111],"bifurcations":[9],"and":[10,56,65,78,96],"type":[12],"solutions":[14,88],"found":[15],"through":[16],"numerical":[17],"simulations":[18],"three-dimensional":[21],"Boussinesq":[22],"thermal":[23],"convection":[24],"equations":[25],"in":[26],"rotating":[27],"spherical":[28],"shells":[29],"with":[30,57],"fixed":[31],"azimuthal":[32],"symmetry,":[33],"is":[34,61],"derived.":[35],"low":[37],"Prandtl":[38],"number":[39],"fluid":[40],"$\\sigma=0.1$":[42],"subject":[43],"to":[44],"radial":[45],"gravity,":[46],"filling":[47],"a":[48,72,109],"shell":[49],"radius":[51],"ratio":[52],"$\\eta=0.35$,":[53],"differentially":[54],"heated,":[55],"non-slip":[58],"boundary":[59],"conditions,":[60],"considered.":[62],"Periodic,":[63],"quasi-periodic,":[64],"temporal":[66],"chaotic":[67],"flows":[68],"are":[69,89,115],"obtained":[70],"for":[71],"moderately":[73],"small":[74],"Ekman":[75],"number,":[76],"$E=10^{-4}$,":[77],"at":[79],"supercritical":[80],"Rayleigh":[81],"numbers":[82],"order":[84],"$Ra\\sim":[85],"O(2Ra_c)$.":[86],"The":[87],"classified":[90],"by":[91],"means":[92],"frequency":[94],"analysis":[95],"Poincar\u00e9":[97],"sections.":[98],"Resonant":[99],"phase":[100],"locking":[101],"on":[102],"quasi-periodic":[104],"branches,":[105],"as":[106,108],"well":[107],"period":[112],"doubling":[113],"bifurcations,":[114],"also":[116],"detected.":[117]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}