{"id":"https://openalex.org/W1565750094","doi":"https://doi.org/10.3233/asy-141241","title":"Diffusion through a composite structure with a high contrasting diffusivity","display_name":"Diffusion through a composite structure with a high contrasting diffusivity","publication_year":2014,"publication_date":"2014-09-01","ids":{"openalex":"https://openalex.org/W1565750094","doi":"https://doi.org/10.3233/asy-141241","mag":"1565750094"},"language":"en","primary_location":{"id":"doi:10.3233/asy-141241","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-141241","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/A5032211437","display_name":"Ali Sili","orcid":"https://orcid.org/0000-0001-8867-1922"},"institutions":[{"id":"https://openalex.org/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]},{"id":"https://openalex.org/I3019441195","display_name":"Laboratoire de Math\u00e9matiques d'Orsay","ror":"https://ror.org/03ab0zs98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I3019441195"]},{"id":"https://openalex.org/I4210138206","display_name":"Institut de Math\u00e9matiques de Marseille","ror":"https://ror.org/042h2y225","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210138206","https://openalex.org/I4210141950","https://openalex.org/I4210142724"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Ali Sili","raw_affiliation_strings":["Institut de Math\u00e9matiques de Marseille (I2M, UMR 7373), Centre de Math\u00e9matiques et Informatique, 39 rue Joliot-Curie, 13453 Marseille cedex 13, France and D\u00e9partement de Math\u00e9matiques, Universit\u00e9 de Toulon, 83957, La Garde cedex, France. E-mail: sili@univ-tln.fr"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques de Marseille (I2M, UMR 7373), Centre de Math\u00e9matiques et Informatique, 39 rue Joliot-Curie, 13453 Marseille cedex 13, France and D\u00e9partement de Math\u00e9matiques, Universit\u00e9 de Toulon, 83957, La Garde cedex, France. E-mail: sili@univ-tln.fr","institution_ids":["https://openalex.org/I4210138206","https://openalex.org/I143002897","https://openalex.org/I3019441195","https://openalex.org/I4210160189"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5032211437"],"corresponding_institution_ids":["https://openalex.org/I143002897","https://openalex.org/I3019441195","https://openalex.org/I4210138206","https://openalex.org/I4210160189"],"apc_list":null,"apc_paid":null,"fwci":0.367,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.60272158,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"89","issue":"1-2","first_page":"173","last_page":"187"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998999834060669,"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":0.9998999834060669,"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":0.996399998664856,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9814000129699707,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/thermal-diffusivity","display_name":"Thermal diffusivity","score":0.8351309299468994},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.7900028228759766},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.5641680955886841},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5633828639984131},{"id":"https://openalex.org/keywords/composite-number","display_name":"Composite number","score":0.5398833155632019},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.5118369460105896},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5030247569084167},{"id":"https://openalex.org/keywords/diffusion-equation","display_name":"Diffusion equation","score":0.48345550894737244},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.47816306352615356},{"id":"https://openalex.org/keywords/anomalous-diffusion","display_name":"Anomalous diffusion","score":0.47179335355758667},{"id":"https://openalex.org/keywords/volume-fraction","display_name":"Volume fraction","score":0.45857033133506775},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.41415658593177795},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.35065263509750366},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.213008314371109},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19094565510749817},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.11437788605690002},{"id":"https://openalex.org/keywords/innovation-diffusion","display_name":"Innovation diffusion","score":0.09566381573677063},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.08622345328330994}],"concepts":[{"id":"https://openalex.org/C37668627","wikidata":"https://www.wikidata.org/wiki/Q3381809","display_name":"Thermal diffusivity","level":2,"score":0.8351309299468994},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.7900028228759766},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5641680955886841},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5633828639984131},{"id":"https://openalex.org/C104779481","wikidata":"https://www.wikidata.org/wiki/Q50707","display_name":"Composite number","level":2,"score":0.5398833155632019},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5118369460105896},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5030247569084167},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.48345550894737244},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.47816306352615356},{"id":"https://openalex.org/C164602753","wikidata":"https://www.wikidata.org/wiki/Q567544","display_name":"Anomalous diffusion","level":3,"score":0.47179335355758667},{"id":"https://openalex.org/C65590680","wikidata":"https://www.wikidata.org/wiki/Q909482","display_name":"Volume fraction","level":2,"score":0.45857033133506775},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.41415658593177795},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.35065263509750366},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.213008314371109},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19094565510749817},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.11437788605690002},{"id":"https://openalex.org/C3017618536","wikidata":"https://www.wikidata.org/wiki/Q304994","display_name":"Innovation diffusion","level":2,"score":0.09566381573677063},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.08622345328330994},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.0},{"id":"https://openalex.org/C56739046","wikidata":"https://www.wikidata.org/wiki/Q192060","display_name":"Knowledge management","level":1,"score":0.0},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3233/asy-141241","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-141241","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"},{"id":"pmh:oai:HAL:hal-01256452v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01256452","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Asymptotic Analysis, 2014, 89 (1-2), pp.173-187. ⟨10.3233/ASY-141241⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3094558571","https://openalex.org/W2465611165","https://openalex.org/W1992752755","https://openalex.org/W1976311762","https://openalex.org/W2160900305","https://openalex.org/W2039719624","https://openalex.org/W4210534497","https://openalex.org/W2984261018","https://openalex.org/W1176545932","https://openalex.org/W2525672329"],"abstract_inverted_index":{"We":[0,69],"consider":[1],"the":[2,24,27,30,43,46,53,56,59,72,78,99,103,106,109,114],"stationary":[3],"diffusion":[4,31,57,80,94],"equation":[5],"in":[6,32,58,95,113],"a":[7,64],"periodic":[8],"composite":[9],"medium":[10],"made":[11],"of":[12,29,45,55,102,116],"two":[13],"components":[14],"M":[15],"\u03b5":[16,19,37,41,50,62,75,88,97],"and":[17,48],"B":[18,61,74,96],"having":[20],"very":[21,92],"different":[22],"diffusivity,":[23],"ratio":[25],"between":[26],"coefficients":[28],"that":[33,71],"structure":[34],"being":[35],"1/\u03b1":[36],"2":[38],",":[39,98],"where":[40],"is":[42,63,108],"size":[44],"period":[47],"\u03b1":[49],"which":[51],"represents":[52],"amplitude":[54],"inclusions":[60,73],"decreasing":[65],"sequence":[66],"towards":[67],"zero.":[68],"show":[70],"work":[76],"on":[77],"macroscopic":[79],"as":[81],"holes.":[82,117],"In":[83],"particular":[84],"for":[85],"scalings":[86],"0<\u03b1":[87],"\ufffd\u03b5":[89],"corresponding":[90],"to":[91],"weak":[93],"volume":[100],"fraction":[101],"material":[104],"at":[105],"limit":[107],"well":[110],"known":[111],"one":[112],"case":[115]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-30T06:05:26.967640","created_date":"2025-10-10T00:00:00"}