{"id":"https://openalex.org/W2055547175","doi":"https://doi.org/10.1137/s1540345902411736","title":"Asymptotic Transport Models for Heat and Mass Transfer in Reactive Porous Media","display_name":"Asymptotic Transport Models for Heat and Mass Transfer in Reactive Porous Media","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2055547175","doi":"https://doi.org/10.1137/s1540345902411736","mag":"2055547175"},"language":"en","primary_location":{"id":"doi:10.1137/s1540345902411736","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1540345902411736","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":"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/A5059616632","display_name":"Pierre Charrier","orcid":"https://orcid.org/0000-0002-8200-9169"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I4210166017","display_name":"Institut de Math\u00e9matiques de Bordeaux","ror":"https://ror.org/05m3r1b84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I15057530","https://openalex.org/I4210141950","https://openalex.org/I4210160189","https://openalex.org/I4210166017"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Pierre Charrier","raw_affiliation_strings":["Math\u00e9matiques appliqu\u00e9es de Bordeaux, UMR-CNRS 5466, LRC-CEA M03, Universit\u00e9 Bordeaux 1, 33405 Talence cedex, France"],"affiliations":[{"raw_affiliation_string":"Math\u00e9matiques appliqu\u00e9es de Bordeaux, UMR-CNRS 5466, LRC-CEA M03, Universit\u00e9 Bordeaux 1, 33405 Talence cedex, France","institution_ids":["https://openalex.org/I4210166017","https://openalex.org/I2738703131","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108675392","display_name":"Bruno Dubroca","orcid":null},"institutions":[{"id":"https://openalex.org/I129235615","display_name":"CEA CESTA","ror":"https://ror.org/026ma2c10","country_code":"FR","type":"government","lineage":["https://openalex.org/I129235615","https://openalex.org/I4210101455"]},{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Bruno Dubroca","raw_affiliation_strings":["CEA CESTA, BP 2 33114 Le Barp, France"],"affiliations":[{"raw_affiliation_string":"CEA CESTA, BP 2 33114 Le Barp, France","institution_ids":["https://openalex.org/I129235615","https://openalex.org/I2738703131"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5059616632"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I2738703131","https://openalex.org/I4210166017"],"apc_list":null,"apc_paid":null,"fwci":0.4426,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.65554245,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"2","issue":"1","first_page":"124","last_page":"157"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9998999834060669,"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"}},{"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9993000030517578,"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/homogenization","display_name":"Homogenization (climate)","score":0.7639179229736328},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.7087762355804443},{"id":"https://openalex.org/keywords/mass-transfer","display_name":"Mass transfer","score":0.6028496026992798},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.5592253804206848},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"Heat transfer","score":0.5406045913696289},{"id":"https://openalex.org/keywords/convection\u2013diffusion-equation","display_name":"Convection\u2013diffusion equation","score":0.4672037959098816},{"id":"https://openalex.org/keywords/boltzmann-equation","display_name":"Boltzmann equation","score":0.4486546218395233},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4318799376487732},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3649539351463318},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3495461940765381},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.34429314732551575},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.33484578132629395},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.29498767852783203},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.27180159091949463}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.7639179229736328},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.7087762355804443},{"id":"https://openalex.org/C51038369","wikidata":"https://www.wikidata.org/wiki/Q909534","display_name":"Mass transfer","level":2,"score":0.6028496026992798},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.5592253804206848},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.5406045913696289},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.4672037959098816},{"id":"https://openalex.org/C165995430","wikidata":"https://www.wikidata.org/wiki/Q891653","display_name":"Boltzmann equation","level":2,"score":0.4486546218395233},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4318799376487732},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3649539351463318},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3495461940765381},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.34429314732551575},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.33484578132629395},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.29498767852783203},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.27180159091949463},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1540345902411736","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1540345902411736","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W2002446866","https://openalex.org/W2002464607","https://openalex.org/W2021669684","https://openalex.org/W2044355577","https://openalex.org/W2073487309","https://openalex.org/W4256200576"],"related_works":["https://openalex.org/W2068924975","https://openalex.org/W2010179476","https://openalex.org/W2949886055","https://openalex.org/W2060773578","https://openalex.org/W2795085056","https://openalex.org/W3111950532","https://openalex.org/W2360722468","https://openalex.org/W3001002503","https://openalex.org/W2332667251","https://openalex.org/W2002464607"],"abstract_inverted_index":{"We":[0],"propose":[1,31],"in":[2,9,22,38],"this":[3],"paper":[4],"an":[5,68],"approach":[6],"for":[7],"deriving":[8],"a":[10,13,27,32,64,78],"rigorous":[11],"way":[12],"family":[14],"of":[15,17,80,95,117],"models":[16],"mass":[18],"and":[19,49,73,110,114],"heat":[20,43],"transfer":[21],"reactive":[23],"porous":[24],"media.":[25],"At":[26],"microscopic":[28,93],"level":[29],"we":[30,102,111],"model":[33],"coupling":[34],"the":[35,39,42,46,85,92,96,105],"Boltzmann":[36],"equation":[37,44],"gas":[40],"phase,":[41,48],"on":[45],"solid":[47],"appropriate":[50],"interface":[51],"conditions,":[52],"including":[53],"adsorption-desorption":[54],"reactions.":[55],"Several":[56],"scalings":[57],"are":[58,89],"proposed,":[59],"each":[60],"one":[61],"corresponding":[62],"to":[63,77],"particular":[65],"regime.":[66],"Then":[67],"asymptotic":[69],"expansion":[70],"mixing":[71],"homogenization":[72],"fluid":[74],"limit":[75],"leads":[76],"system":[79],"coupled":[81],"diffusion":[82,87,106],"equations":[83],"where":[84],"effective":[86],"tensors":[88],"defined":[90],"from":[91],"geometry":[94],"material":[97],"through":[98],"auxiliary":[99],"problems.":[100],"Finally,":[101],"prove":[103],"that":[104],"operator":[107],"is":[108],"elliptic,":[109],"give":[112],"algebraic":[113],"geometric":[115],"conditions":[116],"degeneracy.":[118]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
