{"id":"https://openalex.org/W2102480246","doi":"https://doi.org/10.1142/s0218127409023627","title":"INFLUENCE OF OPTIMAL CONTROL ON BIFURCATIONS OF 3D AXISYMMETRIC BUOYANT FLOWS","display_name":"INFLUENCE OF OPTIMAL CONTROL ON BIFURCATIONS OF 3D AXISYMMETRIC BUOYANT FLOWS","publication_year":2009,"publication_date":"2009-04-01","ids":{"openalex":"https://openalex.org/W2102480246","doi":"https://doi.org/10.1142/s0218127409023627","mag":"2102480246"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127409023627","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409023627","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033610315","display_name":"M. C. Navarro","orcid":"https://orcid.org/0000-0003-2388-5350"},"institutions":[{"id":"https://openalex.org/I79189158","display_name":"University of Castilla-La Mancha","ror":"https://ror.org/05r78ng12","country_code":"ES","type":"education","lineage":["https://openalex.org/I79189158"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"M. C. NAVARRO","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Facultad de Ciencias Qu\u00edmicas, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Facultad de Ciencias Qu\u00edmicas, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain","institution_ids":["https://openalex.org/I79189158"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032222534","display_name":"H. Herrero","orcid":"https://orcid.org/0000-0002-8598-0217"},"institutions":[{"id":"https://openalex.org/I79189158","display_name":"University of Castilla-La Mancha","ror":"https://ror.org/05r78ng12","country_code":"ES","type":"education","lineage":["https://openalex.org/I79189158"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"H. HERRERO","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Facultad de Ciencias Qu\u00edmicas, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Facultad de Ciencias Qu\u00edmicas, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain","institution_ids":["https://openalex.org/I79189158"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5033610315"],"corresponding_institution_ids":["https://openalex.org/I79189158"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15209153,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":"04","first_page":"1279","last_page":"1288"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12141","display_name":"Fluid Dynamics and Thin Films","score":0.9769999980926514,"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/rotational-symmetry","display_name":"Rotational symmetry","score":0.6836480498313904},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.6203303337097168},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.559709370136261},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5078125596046448},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5032750964164734},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4599228799343109},{"id":"https://openalex.org/keywords/enstrophy","display_name":"Enstrophy","score":0.4562763273715973},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.43758103251457214},{"id":"https://openalex.org/keywords/thermal","display_name":"Thermal","score":0.42865121364593506},{"id":"https://openalex.org/keywords/spiral","display_name":"Spiral (railway)","score":0.42103612422943115},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3805159330368042},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37185633182525635},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3205709457397461},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.11578819155693054},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.11533567309379578},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09808766841888428},{"id":"https://openalex.org/keywords/vortex","display_name":"Vortex","score":0.08892348408699036},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.0741443932056427}],"concepts":[{"id":"https://openalex.org/C33026886","wikidata":"https://www.wikidata.org/wiki/Q593950","display_name":"Rotational symmetry","level":2,"score":0.6836480498313904},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.6203303337097168},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.559709370136261},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5078125596046448},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5032750964164734},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4599228799343109},{"id":"https://openalex.org/C178944513","wikidata":"https://www.wikidata.org/wiki/Q1344391","display_name":"Enstrophy","level":4,"score":0.4562763273715973},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.43758103251457214},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.42865121364593506},{"id":"https://openalex.org/C174128100","wikidata":"https://www.wikidata.org/wiki/Q846907","display_name":"Spiral (railway)","level":2,"score":0.42103612422943115},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3805159330368042},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37185633182525635},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3205709457397461},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.11578819155693054},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.11533567309379578},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09808766841888428},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.08892348408699036},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0741443932056427},{"id":"https://openalex.org/C200114574","wikidata":"https://www.wikidata.org/wiki/Q1143513","display_name":"Vorticity","level":3,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127409023627","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409023627","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1980357151","https://openalex.org/W1981759576","https://openalex.org/W2018253264","https://openalex.org/W2022772783","https://openalex.org/W2039641833","https://openalex.org/W2047473267","https://openalex.org/W2054026842","https://openalex.org/W2054921147","https://openalex.org/W2057426049","https://openalex.org/W2068044221","https://openalex.org/W2092889679","https://openalex.org/W2123029817","https://openalex.org/W2517960817"],"related_works":["https://openalex.org/W1979574857","https://openalex.org/W1586641876","https://openalex.org/W2036811401","https://openalex.org/W1977998515","https://openalex.org/W3027358315","https://openalex.org/W2729783038","https://openalex.org/W1996435879","https://openalex.org/W3111923108","https://openalex.org/W2080165968","https://openalex.org/W2026136894"],"abstract_inverted_index":{"This":[0],"paper":[1],"shows":[2],"the":[3,34,38,70,78,81,90,95,105,109,115,121],"effects":[4],"of":[5,80,120],"optimal":[6,85],"control":[7,86,100],"techniques":[8],"on":[9,69,77],"pattern":[10],"formation":[11],"in":[12,108],"a":[13,26,30,47],"three-dimensional":[14],"Rayleigh\u2013B\u00e9nard":[15],"problem":[16,87],"with":[17,29],"nonhomogeneous":[18],"heating":[19,31,82],"from":[20],"below.":[21],"In":[22],"particular,":[23],"we":[24],"consider":[25],"cylindrical":[27],"domain":[28],"profile":[32],"at":[33],"bottom":[35],"localized":[36],"around":[37],"origin.":[39],"An":[40,84],"axisymmetric":[41],"basic":[42,55],"state":[43,56],"appears":[44],"as":[45,62],"soon":[46],"nonzero":[48],"horizontal":[49],"temperature":[50,74],"gradient":[51],"is":[52,97],"imposed.":[53],"The":[54,99],"may":[57],"bifurcate":[58],"to":[59,113],"different":[60],"solutions":[61],"spiral":[63],"waves,":[64],"stationary":[65],"patterns,":[66],"etc.,":[67],"depending":[68],"vertical":[71],"and":[72,76,111],"lateral":[73],"gradients":[75],"shape":[79],"function.":[83],"that":[88],"determines":[89],"thermal":[91],"boundary":[92,101],"condition":[93,102],"minimizing":[94],"enstrophy":[96],"proposed.":[98],"obtained":[103],"changes":[104],"leading":[106],"mode":[107],"bifurcation":[110],"allows":[112],"eliminate":[114],"instabilities":[116],"for":[117],"some":[118],"values":[119],"parameters.":[122]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}