{"id":"https://openalex.org/W2529161799","doi":"https://doi.org/10.1137/16m109538x","title":"Corrector Estimates for a Thermodiffusion Model with Weak Thermal Coupling","display_name":"Corrector Estimates for a Thermodiffusion Model with Weak Thermal Coupling","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2529161799","doi":"https://doi.org/10.1137/16m109538x","mag":"2529161799"},"language":"en","primary_location":{"id":"doi:10.1137/16m109538x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m109538x","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling &amp; Simulation","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1610.00945","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047645763","display_name":"Adrian Muntean","orcid":"https://orcid.org/0000-0002-1160-0007"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Adrian Muntean","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-1160-0007","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5068143078","display_name":"Sina Reichelt","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sina Reichelt","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047645763"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01538116,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"16","issue":"2","first_page":"807","last_page":"832"},"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":0.9997000098228455,"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":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/homogenization","display_name":"Homogenization (climate)","score":0.9027851819992065},{"id":"https://openalex.org/keywords/thermal-conduction","display_name":"Thermal conduction","score":0.8057719469070435},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.6467657089233398},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.6318470239639282},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.5279682874679565},{"id":"https://openalex.org/keywords/thermal","display_name":"Thermal","score":0.5235561728477478},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.509584903717041},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4474685490131378},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.4350040555000305},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.41582682728767395},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3731144070625305},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.36323386430740356},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.3429853320121765},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33108046650886536},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11638849973678589}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.9027851819992065},{"id":"https://openalex.org/C172100665","wikidata":"https://www.wikidata.org/wiki/Q7465774","display_name":"Thermal conduction","level":2,"score":0.8057719469070435},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.6467657089233398},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.6318470239639282},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5279682874679565},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.5235561728477478},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.509584903717041},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4474685490131378},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.4350040555000305},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.41582682728767395},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3731144070625305},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.36323386430740356},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3429853320121765},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33108046650886536},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11638849973678589},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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":10,"locations":[{"id":"doi:10.1137/16m109538x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m109538x","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling &amp; Simulation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1610.00945","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1610.00945","pdf_url":"https://arxiv.org/pdf/1610.00945","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":"mag:2529161799","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1610.00945.pdf","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:doi:10.20347/wias.preprint.2310","is_oa":false,"landing_page_url":"http://localhost:8291/receive/wias_mods_00002370","pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":null,"raw_type":"preprint"},{"id":"pmh:oai:DiVA.org:kau-46292","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-46292","pdf_url":null,"source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:DiVA.org:kau-65815","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-65815","pdf_url":null,"source":{"id":"https://openalex.org/S4306402133","display_name":"Digitala vetenskapliga arkivet (Diva) (Karlstad University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43968019","host_organization_name":"Karlstad University","host_organization_lineage":["https://openalex.org/I43968019"],"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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.1610.00945","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1610.00945","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"doi:10.20347/wias.preprint.2310","is_oa":true,"landing_page_url":"https://doi.org/10.20347/wias.preprint.2310","pdf_url":null,"source":{"id":"https://openalex.org/S7407053009","display_name":"Weierstra\u00df-Institut f\u00fcr Angewandte Analysis und Stochastik","issn_l":null,"issn":[],"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.34657/2195","is_oa":true,"landing_page_url":"https://doi.org/10.34657/2195","pdf_url":null,"source":{"id":"https://openalex.org/S7407052981","display_name":"TIB Repositorium","issn_l":null,"issn":[],"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"report"},{"id":"mag:2963766946","is_oa":false,"landing_page_url":"https://www.wias-berlin.de/publications/wias-publ/run.jsp?template=abstract&type=Preprint&year=2016&number=2310","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1610.00945","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1610.00945","pdf_url":"https://arxiv.org/pdf/1610.00945","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":[{"id":"https://openalex.org/G3524995440","display_name":null,"funder_award_id":"657.014.004","funder_id":"https://openalex.org/F4320334893","funder_display_name":"Stichting voor de Technische Wetenschappen"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320334893","display_name":"Stichting voor de Technische Wetenschappen","ror":"https://ror.org/057tq3593"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W166786860","https://openalex.org/W1679285666","https://openalex.org/W1964278837","https://openalex.org/W1965059925","https://openalex.org/W1967203031","https://openalex.org/W1967809206","https://openalex.org/W1980404981","https://openalex.org/W1990157709","https://openalex.org/W1994045727","https://openalex.org/W2027239222","https://openalex.org/W2029918260","https://openalex.org/W2041620563","https://openalex.org/W2056254579","https://openalex.org/W2059460892","https://openalex.org/W2087269720","https://openalex.org/W2114756885","https://openalex.org/W2120271468","https://openalex.org/W2568696705","https://openalex.org/W2618952896","https://openalex.org/W2762255502","https://openalex.org/W2962773649"],"related_works":["https://openalex.org/W2147621753","https://openalex.org/W2605483968","https://openalex.org/W2222341771","https://openalex.org/W2081086452","https://openalex.org/W2377577978","https://openalex.org/W3021172235","https://openalex.org/W2307814754","https://openalex.org/W3109418984","https://openalex.org/W2748007552","https://openalex.org/W3138877903","https://openalex.org/W3195765509","https://openalex.org/W2007882319","https://openalex.org/W2951322238","https://openalex.org/W1979730070","https://openalex.org/W3036884996","https://openalex.org/W3155398793","https://openalex.org/W3093338177","https://openalex.org/W3101198929","https://openalex.org/W2318531450","https://openalex.org/W1973999429"],"abstract_inverted_index":{"The":[0,33,105],"present":[1],"work":[2],"deals":[3],"with":[4,18,28,110,132],"the":[5,11,41,47,53,59,67,72,81,85,90,97,115,120,126,136],"derivation":[6],"of":[7,14,46,52,66,71,84,92,100,128],"corrector":[8],"estimates":[9,134],"for":[10,135,142],"two-scale":[12],"homogenization":[13,49],"a":[15,24,76],"thermodiffusion":[16],"model":[17],"weak":[19],"thermal":[20,36,137],"coupling":[21,112],"posed":[22],"in":[23,44,64,89,119],"heterogeneous":[25],"medium":[26],"endowed":[27],"periodically":[29],"arranged":[30],"high-contrast":[31],"microstructures.":[32],"term":[34],"\u201cweak":[35],"coupling\u201d":[37],"refers":[38],"here":[39],"to":[40,114],"variable":[42],"scaling":[43],"terms":[45,65,83],"small":[48],"parameter":[50],"$\\varepsilon$":[51],"heat":[54,68,107],"conduction-diffusion":[55],"interaction":[56],"terms,":[57],"while":[58],"\u201chigh-contrast\u201d":[60],"is":[61],"considered":[62],"particularly":[63],"conduction":[69,108],"properties":[70],"composite":[73],"material.":[74],"As":[75],"main":[77,116],"target,":[78],"we":[79],"justify":[80],"first-order":[82],"multiscale":[86],"asymptotic":[87],"expansions":[88],"presence":[91],"coupled":[93,144],"fluxes,":[94],"induced":[95],"by":[96],"joint":[98],"contribution":[99],"Sorret":[101],"and":[102,138,141],"Dufour-like":[103],"effects.":[104],"contrasting":[106],"combined":[109,131],"cross":[111],"leads":[113],"mathematical":[117],"difficulty":[118],"system.":[121],"Our":[122],"approach":[123],"relies":[124],"on":[125],"method":[127],"periodic":[129],"unfolding":[130],"$\\varepsilon$-independent":[133],"concentration":[139],"fields":[140],"their":[143],"fluxes.":[145]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
