{"id":"https://openalex.org/W1988117293","doi":"https://doi.org/10.1007/s00332-009-9044-3","title":"Optimal Transport, Convection, Magnetic Relaxation and Generalized Boussinesq Equations","display_name":"Optimal Transport, Convection, Magnetic Relaxation and Generalized Boussinesq Equations","publication_year":2009,"publication_date":"2009-06-12","ids":{"openalex":"https://openalex.org/W1988117293","doi":"https://doi.org/10.1007/s00332-009-9044-3","mag":"1988117293"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-009-9044-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-009-9044-3","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0801.1088","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001818250","display_name":"Yann Brenier","orcid":"https://orcid.org/0000-0002-3899-603X"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]},{"id":"https://openalex.org/I4210117840","display_name":"Institut de Biologie Valrose","ror":"https://ror.org/03bnma344","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I154526488","https://openalex.org/I201841394","https://openalex.org/I4210096427","https://openalex.org/I4210117840"]},{"id":"https://openalex.org/I4210112930","display_name":"Laboratoire Jean-Alexandre Dieudonn\u00e9","ror":"https://ror.org/0274zdr66","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I201841394","https://openalex.org/I4210112930","https://openalex.org/I4210141950"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Yann Brenier","raw_affiliation_strings":["CNRS, Universit\u00e9 de Nice (FR2800 W. D\u00f6blin), Parc Valrose, 06108, Nice, France","JAD - Laboratoire Jean Alexandre Dieudonn\u00e9 (Universit\u00e9 de Nice - Sophia Antipolis U.M.R. no 6621 du C.N.R.S. Parc Valrose 06108 Nice Cedex 02 France - France)","IWD - Institut Wolfgang D\u00f6blin (Laboratoire J-A Dieudonn\u00e9 Parc Valrose 06108 NICE CEDEX 2 - France)"],"affiliations":[{"raw_affiliation_string":"CNRS, Universit\u00e9 de Nice (FR2800 W. D\u00f6blin), Parc Valrose, 06108, Nice, France","institution_ids":["https://openalex.org/I4210117840","https://openalex.org/I201841394","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"JAD - Laboratoire Jean Alexandre Dieudonn\u00e9 (Universit\u00e9 de Nice - Sophia Antipolis U.M.R. no 6621 du C.N.R.S. Parc Valrose 06108 Nice Cedex 02 France - France)","institution_ids":["https://openalex.org/I4210112930"]},{"raw_affiliation_string":"IWD - Institut Wolfgang D\u00f6blin (Laboratoire J-A Dieudonn\u00e9 Parc Valrose 06108 NICE CEDEX 2 - France)","institution_ids":["https://openalex.org/I4210112930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5001818250"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I201841394","https://openalex.org/I4210112930","https://openalex.org/I4210117840"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.8438,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.92855246,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"19","issue":"5","first_page":"547","last_page":"570"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.9976999759674072,"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/convection","display_name":"Convection","score":0.6403486132621765},{"id":"https://openalex.org/keywords/boussinesq-approximation","display_name":"Boussinesq approximation (buoyancy)","score":0.5114123225212097},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4861578643321991},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4782366156578064},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4146018624305725},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35816121101379395},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.35481613874435425},{"id":"https://openalex.org/keywords/natural-convection","display_name":"Natural convection","score":0.3267155885696411},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3068249225616455},{"id":"https://openalex.org/keywords/rayleigh-number","display_name":"Rayleigh number","score":0.15963903069496155}],"concepts":[{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.6403486132621765},{"id":"https://openalex.org/C181152433","wikidata":"https://www.wikidata.org/wiki/Q895274","display_name":"Boussinesq approximation (buoyancy)","level":5,"score":0.5114123225212097},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4861578643321991},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4782366156578064},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4146018624305725},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35816121101379395},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.35481613874435425},{"id":"https://openalex.org/C54791560","wikidata":"https://www.wikidata.org/wiki/Q3285020","display_name":"Natural convection","level":3,"score":0.3267155885696411},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3068249225616455},{"id":"https://openalex.org/C106836276","wikidata":"https://www.wikidata.org/wiki/Q898249","display_name":"Rayleigh number","level":4,"score":0.15963903069496155},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00332-009-9044-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-009-9044-3","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:0801.1088","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0801.1088","pdf_url":"https://arxiv.org/pdf/0801.1088","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":"pmh:oai:CiteSeerX.psu:10.1.1.245.6404","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.245.6404","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0801.1088v1.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00202710v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00202710","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2008","raw_type":"Preprints, Working Papers, ..."}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0801.1088","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0801.1088","pdf_url":"https://arxiv.org/pdf/0801.1088","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W291066851","https://openalex.org/W570977054","https://openalex.org/W1481803382","https://openalex.org/W1573547614","https://openalex.org/W1585160083","https://openalex.org/W1973030790","https://openalex.org/W1973692656","https://openalex.org/W1980372935","https://openalex.org/W1989136682","https://openalex.org/W2007483713","https://openalex.org/W2009264854","https://openalex.org/W2015068148","https://openalex.org/W2021117151","https://openalex.org/W2024935598","https://openalex.org/W2037619353","https://openalex.org/W2052104757","https://openalex.org/W2052424080","https://openalex.org/W2061449874","https://openalex.org/W2067193435","https://openalex.org/W2068039185","https://openalex.org/W2079101044","https://openalex.org/W2088594123","https://openalex.org/W2097270841","https://openalex.org/W2098561264","https://openalex.org/W2105146991","https://openalex.org/W2112287406","https://openalex.org/W2117709159","https://openalex.org/W2131103952","https://openalex.org/W2132883347","https://openalex.org/W2137420983","https://openalex.org/W2143384786","https://openalex.org/W2155973050","https://openalex.org/W2157693175","https://openalex.org/W2162545297","https://openalex.org/W2263170054","https://openalex.org/W2499598385","https://openalex.org/W3099494581","https://openalex.org/W4292023748","https://openalex.org/W4307755210"],"related_works":["https://openalex.org/W2806303950","https://openalex.org/W3163579999","https://openalex.org/W2368508756","https://openalex.org/W1594172449","https://openalex.org/W2369897704","https://openalex.org/W2600367641","https://openalex.org/W3113442433","https://openalex.org/W2317612426","https://openalex.org/W4284682445","https://openalex.org/W2494707303"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}