{"id":"https://openalex.org/W2013822217","doi":"https://doi.org/10.1142/s0218127401003954","title":"NONLINEAR PLANE WAVES IN A LONG-WAVELENGTH CONVECTION MODEL","display_name":"NONLINEAR PLANE WAVES IN A LONG-WAVELENGTH CONVECTION MODEL","publication_year":2001,"publication_date":"2001-11-01","ids":{"openalex":"https://openalex.org/W2013822217","doi":"https://doi.org/10.1142/s0218127401003954","mag":"2013822217"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127401003954","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127401003954","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/A5018624288","display_name":"Ana M. Mancho","orcid":"https://orcid.org/0000-0002-8385-7098"},"institutions":[{"id":"https://openalex.org/I4210129022","display_name":"Centro de Astrobiolog\u00eda","ror":"https://ror.org/038szmr31","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210117279","https://openalex.org/I4210129022"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"A. M. MANCHO","raw_affiliation_strings":["Centro de Astrobiolog\u00eda, (Associate Member of NASA Astrobiology Institute), CSIC-INTA, Ctra. Ajalvir, Km. 4, 28850 Torrej\u00f3n de Ardoz, Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Centro de Astrobiolog\u00eda, (Associate Member of NASA Astrobiology Institute), CSIC-INTA, Ctra. Ajalvir, Km. 4, 28850 Torrej\u00f3n de Ardoz, Madrid, Spain","institution_ids":["https://openalex.org/I4210129022"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065856237","display_name":"Luis V\u00e1zquez","orcid":"https://orcid.org/0000-0003-4054-1197"},"institutions":[{"id":"https://openalex.org/I4210129022","display_name":"Centro de Astrobiolog\u00eda","ror":"https://ror.org/038szmr31","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210117279","https://openalex.org/I4210129022"]},{"id":"https://openalex.org/I121748325","display_name":"Universidad Complutense de Madrid","ror":"https://ror.org/02p0gd045","country_code":"ES","type":"education","lineage":["https://openalex.org/I121748325"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"L. V\u00c1ZQUEZ","raw_affiliation_strings":["Centro de Astrobiolog\u00eda, (Associate Member of NASA Astrobiology Institute), CSIC-INTA, Ctra. Ajalvir, Km. 4, 28850 Torrej\u00f3n de Ardoz, Madrid, Spain","Departamento de Matem\u00e1tica Aplicada, Facultad de Inform\u00e1tica, Universidad Complutense, 28040 Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Centro de Astrobiolog\u00eda, (Associate Member of NASA Astrobiology Institute), CSIC-INTA, Ctra. Ajalvir, Km. 4, 28850 Torrej\u00f3n de Ardoz, Madrid, Spain","institution_ids":["https://openalex.org/I4210129022"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, Facultad de Inform\u00e1tica, Universidad Complutense, 28040 Madrid, Spain","institution_ids":["https://openalex.org/I121748325"]}]},{"author_position":"middle","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"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044834700","display_name":"Sergio Hoyas","orcid":"https://orcid.org/0000-0002-8458-7288"},"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":"S. HOYAS","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":4,"corresponding_author_ids":["https://openalex.org/A5018624288"],"corresponding_institution_ids":["https://openalex.org/I4210129022"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18118512,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"11","first_page":"2867","last_page":"2874"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9997000098228455,"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":0.9997000098228455,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9986000061035156,"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/T12141","display_name":"Fluid Dynamics and Thin Films","score":0.9970999956130981,"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/ode","display_name":"Ode","score":0.8175561428070068},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.7561137676239014},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.7233945727348328},{"id":"https://openalex.org/keywords/prandtl-number","display_name":"Prandtl number","score":0.6713941693305969},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6533291339874268},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6190935373306274},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5641498565673828},{"id":"https://openalex.org/keywords/wavelength","display_name":"Wavelength","score":0.5346068143844604},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5230506658554077},{"id":"https://openalex.org/keywords/convection","display_name":"Convection","score":0.5196974873542786},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5192199349403381},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4721115827560425},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.38933974504470825},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.34675276279449463},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.30781155824661255},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18555426597595215},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.11585143208503723}],"concepts":[{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.8175561428070068},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.7561137676239014},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.7233945727348328},{"id":"https://openalex.org/C72687893","wikidata":"https://www.wikidata.org/wiki/Q815306","display_name":"Prandtl number","level":3,"score":0.6713941693305969},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6533291339874268},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6190935373306274},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5641498565673828},{"id":"https://openalex.org/C6260449","wikidata":"https://www.wikidata.org/wiki/Q41364","display_name":"Wavelength","level":2,"score":0.5346068143844604},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5230506658554077},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.5196974873542786},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5192199349403381},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4721115827560425},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.38933974504470825},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.34675276279449463},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.30781155824661255},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18555426597595215},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.11585143208503723},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127401003954","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127401003954","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"},{"id":"pmh:oai:research-information.bris.ac.uk:openaire_cris_publications/1d9654ce-6b39-4d4a-903a-7c1662ccc25c","is_oa":false,"landing_page_url":"https://research-information.bris.ac.uk/en/publications/1d9654ce-6b39-4d4a-903a-7c1662ccc25c","pdf_url":null,"source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mancho, AM, Herrero, H, Vaquez, L & Hoyas, S 2001, 'Nonlinear plane waves in a long-wavelength. convection model', International Journal of Bifurcation and Chaos, vol. 11, pp. 2867 - 2874.","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W2000883601","https://openalex.org/W2003931415","https://openalex.org/W2021483941","https://openalex.org/W2033180343","https://openalex.org/W2034309420","https://openalex.org/W2041869704","https://openalex.org/W2072819947","https://openalex.org/W3099677563"],"related_works":["https://openalex.org/W3082668976","https://openalex.org/W2517973022","https://openalex.org/W1543121148","https://openalex.org/W1580703421","https://openalex.org/W2618518959","https://openalex.org/W2231364979","https://openalex.org/W4295745414","https://openalex.org/W4382202915","https://openalex.org/W4288093367","https://openalex.org/W3093456297"],"abstract_inverted_index":{"The":[0],"partial":[1],"differential":[2,39],"equation":[3],"(PDE)":[4],"associated":[5],"with":[6],"the":[7,45],"long-wavelength":[8],"regime":[9],"that":[10],"describes":[11],"convection":[12],"between":[13],"rigid":[14],"and":[15,72],"poorly":[16],"conducting":[17],"boundaries":[18],"in":[19,27,68],"an":[20],"infinite":[21],"Prandtl":[22],"number":[23],"fluid":[24],"is":[25,32],"studied":[26],"this":[28,52],"document.":[29],"This":[30],"PDE":[31],"reduced":[33],"to":[34,65],"a":[35],"set":[36],"of":[37,56],"ordinary":[38],"equations":[40],"(ODE)":[41],"by":[42],"looking":[43],"for":[44],"exact":[46],"nonlinear":[47],"plane":[48],"wave":[49],"solutions.":[50],"Solving":[51],"ODE":[53],"several":[54],"kinds":[55],"oscillatory":[57],"attractors":[58,62],"are":[59,63,75],"obtained.":[60],"These":[61],"compared":[64],"oscillations":[66],"observed":[67],"experiments":[69],"on":[70],"fluids":[71],"some":[73],"features":[74],"also":[76],"recovered.":[77]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}