{"id":"https://openalex.org/W2534969282","doi":"https://doi.org/10.3934/nhm.2016009","title":"Homogenization of a thermal problem with flux jump","display_name":"Homogenization of a thermal problem with flux jump","publication_year":2016,"publication_date":"2016-10-01","ids":{"openalex":"https://openalex.org/W2534969282","doi":"https://doi.org/10.3934/nhm.2016009","mag":"2534969282"},"language":"en","primary_location":{"id":"doi:10.3934/nhm.2016009","is_oa":true,"landing_page_url":"https://doi.org/10.3934/nhm.2016009","pdf_url":null,"source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks and Heterogeneous Media","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.3934/nhm.2016009","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064603765","display_name":"Renata Bunoiu","orcid":"https://orcid.org/0000-0001-6324-5847"},"institutions":[{"id":"https://openalex.org/I3017839442","display_name":"Institut \u00c9lie Cartan de Lorraine","ror":"https://ror.org/04rvw8791","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I3017839442","https://openalex.org/I4210141950","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Renata Bunoiu","raw_affiliation_strings":["Institut \u00c9lie Cartan de Lorraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut \u00c9lie Cartan de Lorraine","institution_ids":["https://openalex.org/I3017839442","https://openalex.org/I90183372"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047675573","display_name":"Claudia Timofte","orcid":"https://orcid.org/0000-0003-1802-8426"},"institutions":[{"id":"https://openalex.org/I141595442","display_name":"University of Bucharest","ror":"https://ror.org/02x2v6p15","country_code":"RO","type":"education","lineage":["https://openalex.org/I141595442"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Claudia Timofte","raw_affiliation_strings":["University of Bucharest, Faculty of Physics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bucharest, Faculty of Physics","institution_ids":["https://openalex.org/I141595442"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5064603765"],"corresponding_institution_ids":["https://openalex.org/I3017839442","https://openalex.org/I90183372"],"apc_list":null,"apc_paid":null,"fwci":2.1629,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.88951234,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"11","issue":"4","first_page":"545","last_page":"562"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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/T11558","display_name":"Composite Material Mechanics","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9988999962806702,"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/homogenization","display_name":"Homogenization (climate)","score":0.9484803676605225},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.8152488470077515},{"id":"https://openalex.org/keywords/imperfect","display_name":"Imperfect","score":0.6622053384780884},{"id":"https://openalex.org/keywords/heat-flux","display_name":"Heat flux","score":0.5698447227478027},{"id":"https://openalex.org/keywords/thermal","display_name":"Thermal","score":0.5669052600860596},{"id":"https://openalex.org/keywords/temperature-jump","display_name":"Temperature jump","score":0.5261066555976868},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.4730195999145508},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"Heat transfer","score":0.4635523855686188},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4527885317802429},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.36409634351730347},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3465305268764496},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24149778485298157}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.9484803676605225},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.8152488470077515},{"id":"https://openalex.org/C2780310539","wikidata":"https://www.wikidata.org/wiki/Q12547192","display_name":"Imperfect","level":2,"score":0.6622053384780884},{"id":"https://openalex.org/C159188206","wikidata":"https://www.wikidata.org/wiki/Q1478382","display_name":"Heat flux","level":3,"score":0.5698447227478027},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.5669052600860596},{"id":"https://openalex.org/C65550862","wikidata":"https://www.wikidata.org/wiki/Q2142563","display_name":"Temperature jump","level":2,"score":0.5261066555976868},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.4730195999145508},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.4635523855686188},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4527885317802429},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.36409634351730347},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3465305268764496},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24149778485298157},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3934/nhm.2016009","is_oa":true,"landing_page_url":"https://doi.org/10.3934/nhm.2016009","pdf_url":null,"source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks and Heterogeneous Media","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01272936v2","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01272936","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":"Networks and Heterogeneous Media, 2016, ⟨10.3934/nhm.2016009⟩","raw_type":"Journal articles"},{"id":"pmh:oai:doaj.org/article:f7c987694c5c4ee29e1328cd5c0be686","is_oa":false,"landing_page_url":"https://doaj.org/article/f7c987694c5c4ee29e1328cd5c0be686","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Networks and Heterogeneous Media, Vol 11, Iss 4, Pp 545-562 (2016)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3934/nhm.2016009","is_oa":true,"landing_page_url":"https://doi.org/10.3934/nhm.2016009","pdf_url":null,"source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks and Heterogeneous Media","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W126149793","https://openalex.org/W166786860","https://openalex.org/W624192197","https://openalex.org/W1522022671","https://openalex.org/W1569188966","https://openalex.org/W1614394106","https://openalex.org/W1649448565","https://openalex.org/W1852666408","https://openalex.org/W1965059925","https://openalex.org/W1974686733","https://openalex.org/W1998834227","https://openalex.org/W2009954919","https://openalex.org/W2030401004","https://openalex.org/W2040834354","https://openalex.org/W2041477427","https://openalex.org/W2053768949","https://openalex.org/W2059460892","https://openalex.org/W2073207454","https://openalex.org/W2073598512","https://openalex.org/W2075871778","https://openalex.org/W2107648638","https://openalex.org/W2124276683","https://openalex.org/W2126210941","https://openalex.org/W2136048354","https://openalex.org/W2161639046","https://openalex.org/W2408700823","https://openalex.org/W2476035770","https://openalex.org/W2507648347","https://openalex.org/W2579766955","https://openalex.org/W2788278501","https://openalex.org/W2809117618","https://openalex.org/W2964033785","https://openalex.org/W3103076552"],"related_works":["https://openalex.org/W2104620528","https://openalex.org/W4386489994","https://openalex.org/W2077209954","https://openalex.org/W2064128496","https://openalex.org/W1968636436","https://openalex.org/W2379667467","https://openalex.org/W2032319143","https://openalex.org/W2025205044","https://openalex.org/W2724142792","https://openalex.org/W2363533528"],"abstract_inverted_index":{"The":[0],"goal":[1],"of":[2,54,65],"this":[3],"paper":[4],"is":[5],"to":[6],"analyze,":[7],"through":[8],"homogenization":[9],"techniques,":[10],"the":[11,29,32,36,38,52,55,58,62,66,70],"effective":[12],"thermal":[13],"transfer":[14],"in":[15,50,57,61,69],"a":[16],"periodiccomposite":[17],"material":[18],"formedby":[19],"two":[20,41],"constituents,":[21],"separated":[22],"by":[23],"an":[24],"imperfect":[25],"interface":[26],"where":[27],"both":[28],"temperature":[30],"and":[31,68],"flux":[33,39],"exhibit":[34],"jumps.Following":[35],"hypotheseson":[37],"jump,":[40],"different":[42],"homogenized":[43,59],"problems":[44,48],"are":[45],"obtained.":[46],"These":[47],"capture":[49],"variousways":[51],"influence":[53],"jumps:":[56],"coefficients,":[60],"right-hand":[63],"side":[64],"homogenizedproblem,":[67],"correctors.":[71]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}