{"id":"https://openalex.org/W1561626717","doi":"https://doi.org/10.3233/asy-2010-1008","title":"Analysis of a singular limit of boundary conditions for convection\u2013diffusion equations","display_name":"Analysis of a singular limit of boundary conditions for convection\u2013diffusion equations","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W1561626717","doi":"https://doi.org/10.3233/asy-2010-1008","mag":"1561626717"},"language":"en","primary_location":{"id":"doi:10.3233/asy-2010-1008","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2010-1008","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","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/A5061387427","display_name":"Tom\u00e1s Chac\u00f3n Rebollo","orcid":"https://orcid.org/0000-0002-0784-1174"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Tom\u00e1s Chac\u00f3n Rebollo","raw_affiliation_strings":["Departamento de Ecuaciones Diferenciales y An\u00e1lisis Num\u00e9rico de la Universidad de Sevilla, Sevilla, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Ecuaciones Diferenciales y An\u00e1lisis Num\u00e9rico de la Universidad de Sevilla, Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051079854","display_name":"Macarena G\u00f3mez M\u00e1rmol","orcid":"https://orcid.org/0000-0003-2651-5689"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Macarena G\u00f3mez M\u00e1rmol","raw_affiliation_strings":["Departamento de Ecuaciones Diferenciales y An\u00e1lisis Num\u00e9rico de la Universidad de Sevilla, Sevilla, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Ecuaciones Diferenciales y An\u00e1lisis Num\u00e9rico de la Universidad de Sevilla, Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073283678","display_name":"Isabel S\u00e1nchez Mu\u00f1oz","orcid":"https://orcid.org/0000-0002-2489-6126"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Isabel S\u00e1nchez Mu\u00f1oz","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada I de la Universidad de Sevilla, Sevilla, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada I de la Universidad de Sevilla, Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5061387427"],"corresponding_institution_ids":["https://openalex.org/I79238269"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.05930285,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"70","issue":"3-4","first_page":"141","last_page":"154"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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":0.9980999827384949,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9965999722480774,"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/limit","display_name":"Limit (mathematics)","score":0.7090861797332764},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5076395273208618},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.491690456867218},{"id":"https://openalex.org/keywords/convection","display_name":"Convection","score":0.47306644916534424},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4604843556880951},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4528740644454956},{"id":"https://openalex.org/keywords/convection\u2013diffusion-equation","display_name":"Convection\u2013diffusion equation","score":0.44668352603912354},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4281843602657318},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.42161718010902405},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.15949872136116028}],"concepts":[{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.7090861797332764},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5076395273208618},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.491690456867218},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.47306644916534424},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4604843556880951},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4528740644454956},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.44668352603912354},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4281843602657318},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.42161718010902405},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.15949872136116028}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/asy-2010-1008","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2010-1008","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320326754","display_name":"Junta de Andaluc\u00eda","ror":"https://ror.org/01jem9c82"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1541932219","https://openalex.org/W1985618046","https://openalex.org/W2029390991","https://openalex.org/W2052104757","https://openalex.org/W2075610411","https://openalex.org/W2078590840","https://openalex.org/W2085252518","https://openalex.org/W2132240289","https://openalex.org/W2465862018","https://openalex.org/W3042562017","https://openalex.org/W3141151088","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2127887854","https://openalex.org/W2967390736","https://openalex.org/W4280535681","https://openalex.org/W4229561684","https://openalex.org/W2407495749","https://openalex.org/W2117618968","https://openalex.org/W1970509996","https://openalex.org/W2328798805","https://openalex.org/W2029667184","https://openalex.org/W1610849092"],"abstract_inverted_index":{"In":[0,93],"this":[1],"work":[2],"we":[3,32],"justify":[4],"the":[5,9,34,40,46,56,59,64,71,74,83,88,95,105,109],"way":[6],"to":[7,16,70],"set":[8],"boundary":[10,51,80],"conditions":[11,52,81],"by":[12],"certain":[13],"numerical":[14],"methods":[15],"solve":[17],"convection\u2013diffusion":[18,22,37],"problems,":[19],"in":[20,26,45,55,67,82,86,100,108,115],"particular":[21],"problems":[23],"that":[24,63],"appear":[25],"turbulence":[27],"models.":[28],"To":[29],"do":[30],"it,":[31],"analyze":[33],"limit":[35],"of":[36,58,73,117],"equations":[38],"when":[39],"total":[41],"flux":[42],"is":[43],"imposed":[44,54],"inflow":[47,84,110],"boundary,":[48,85],"and":[49,90,104,111],"Newmann":[50],"are":[53],"remaining":[57],"boundary.":[60],"We":[61],"prove":[62],"solution":[65,72],"converges":[66],"L":[68,101,118],"2":[69,102,119],"pure":[75],"convection":[76],"problem,":[77],"with":[78],"Dirichlet":[79],"both":[87],"steady":[89],"evolution":[91],"problems.":[92],"addition,":[94],"convective":[96,106],"derivatives":[97],"also":[98],"converge":[99,114],",":[103],"traces":[107],"outflow":[112],"boundaries":[113],"spaces":[116],"kind.":[120]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-30T06:05:26.967640","created_date":"2025-10-10T00:00:00"}