{"id":"https://openalex.org/W2261865014","doi":"https://doi.org/10.3233/asy-161360","title":"Diffusion limit for the radiative transfer equation perturbed by a Markovian process","display_name":"Diffusion limit for the radiative transfer equation perturbed by a Markovian process","publication_year":2016,"publication_date":"2016-05-03","ids":{"openalex":"https://openalex.org/W2261865014","doi":"https://doi.org/10.3233/asy-161360","mag":"2261865014"},"language":"en","primary_location":{"id":"doi:10.3233/asy-161360","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-161360","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1405.2192","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057727807","display_name":"Arnaud Debussche","orcid":"https://orcid.org/0000-0002-8558-7976"},"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/I4210146044","display_name":"\u00c9cole Normale Sup\u00e9rieure de Rennes","ror":"https://ror.org/03rxtdc22","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210146044","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I4210161663","display_name":"Institut de recherche math\u00e9matique de Rennes","ror":"https://ror.org/05y76vp22","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2800285241","https://openalex.org/I28221208","https://openalex.org/I3124938446","https://openalex.org/I4210117091","https://openalex.org/I4210141950","https://openalex.org/I4210146044","https://openalex.org/I4210161663","https://openalex.org/I4399657933","https://openalex.org/I56067802","https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"A. Debussche","raw_affiliation_strings":["IRMAR, ENS Rennes, CNRS, UEB. av Robert Schuman, F-35170 Bruz, France. E-mails:\u00a0,\u00a0","IRMAR, ENS Rennes, CNRS, UEB. av Robert Schuman, F-35170 Bruz, France. E-mails:\u00a0arnaud.debussche@ens-rennes.fr,\u00a0sylvain.demoor@ens-rennes.fr"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRMAR, ENS Rennes, CNRS, UEB. av Robert Schuman, F-35170 Bruz, France. E-mails:\u00a0,\u00a0","institution_ids":["https://openalex.org/I4210146044","https://openalex.org/I1294671590","https://openalex.org/I4210161663"]},{"raw_affiliation_string":"IRMAR, ENS Rennes, CNRS, UEB. av Robert Schuman, F-35170 Bruz, France. E-mails:\u00a0arnaud.debussche@ens-rennes.fr,\u00a0sylvain.demoor@ens-rennes.fr","institution_ids":["https://openalex.org/I4210146044","https://openalex.org/I1294671590","https://openalex.org/I4210161663"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021346231","display_name":"Sylvain De Moor","orcid":null},"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/I4210146044","display_name":"\u00c9cole Normale Sup\u00e9rieure de Rennes","ror":"https://ror.org/03rxtdc22","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210146044","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I4210161663","display_name":"Institut de recherche math\u00e9matique de Rennes","ror":"https://ror.org/05y76vp22","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2800285241","https://openalex.org/I28221208","https://openalex.org/I3124938446","https://openalex.org/I4210117091","https://openalex.org/I4210141950","https://openalex.org/I4210146044","https://openalex.org/I4210161663","https://openalex.org/I4399657933","https://openalex.org/I56067802","https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"S. De Moor","raw_affiliation_strings":["IRMAR, ENS Rennes, CNRS, UEB. av Robert Schuman, F-35170 Bruz, France. E-mails:\u00a0,\u00a0","IRMAR, ENS Rennes, CNRS, UEB. av Robert Schuman, F-35170 Bruz, France. E-mails:\u00a0arnaud.debussche@ens-rennes.fr,\u00a0sylvain.demoor@ens-rennes.fr"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRMAR, ENS Rennes, CNRS, UEB. av Robert Schuman, F-35170 Bruz, France. E-mails:\u00a0,\u00a0","institution_ids":["https://openalex.org/I4210146044","https://openalex.org/I1294671590","https://openalex.org/I4210161663"]},{"raw_affiliation_string":"IRMAR, ENS Rennes, CNRS, UEB. av Robert Schuman, F-35170 Bruz, France. E-mails:\u00a0arnaud.debussche@ens-rennes.fr,\u00a0sylvain.demoor@ens-rennes.fr","institution_ids":["https://openalex.org/I4210146044","https://openalex.org/I1294671590","https://openalex.org/I4210161663"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080921705","display_name":"Julien Vovelle","orcid":"https://orcid.org/0000-0002-0795-3440"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"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/I4210104796","display_name":"Institut Camille Jordan","ror":"https://ror.org/01ekw7f87","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I112936343","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210104796","https://openalex.org/I4405259976","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"J. Vovelle","raw_affiliation_strings":["Universit\u00e9 de Lyon, CNRS, Universit\u00e9 Lyon 1, Institut Camille Jordan, 43 boulevard du 11 novembre 1918, F-69622 Villeurbane Cedex, France. E-mail:\u00a0","Universit\u00e9 de Lyon, CNRS, Universit\u00e9 Lyon 1, Institut Camille Jordan, 43 boulevard du 11 novembre 1918, F-69622 Villeurbane Cedex, France. E-mail:\u00a0vovelle@math.univ-lyon1.fr"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Lyon, CNRS, Universit\u00e9 Lyon 1, Institut Camille Jordan, 43 boulevard du 11 novembre 1918, F-69622 Villeurbane Cedex, France. E-mail:\u00a0","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I4210104796","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Universit\u00e9 de Lyon, CNRS, Universit\u00e9 Lyon 1, Institut Camille Jordan, 43 boulevard du 11 novembre 1918, F-69622 Villeurbane Cedex, France. E-mail:\u00a0vovelle@math.univ-lyon1.fr","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I4210104796","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5057727807"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210146044","https://openalex.org/I4210161663"],"apc_list":null,"apc_paid":null,"fwci":1.026,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.73628617,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"98","issue":"1-2","first_page":"31","last_page":"58"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9986000061035156,"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"}},"topics":[{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9986000061035156,"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"}},{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10190","display_name":"Air Quality and Health Impacts","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/2307","display_name":"Health, Toxicology and Mutagenesis"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/heavy-traffic-approximation","display_name":"Heavy traffic approximation","score":0.7180423140525818},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.7031924724578857},{"id":"https://openalex.org/keywords/radiative-transfer","display_name":"Radiative transfer","score":0.6726462841033936},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5281296372413635},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5245659351348877},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.49172237515449524},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4874162971973419},{"id":"https://openalex.org/keywords/scaling-limit","display_name":"Scaling limit","score":0.4795365333557129},{"id":"https://openalex.org/keywords/diffusion-process","display_name":"Diffusion process","score":0.45770713686943054},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4547351002693176},{"id":"https://openalex.org/keywords/diffusion-equation","display_name":"Diffusion equation","score":0.4432598650455475},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.4320748746395111},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4140644967556},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4082345962524414},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33537423610687256},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.16506829857826233},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.12094199657440186},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07564869523048401},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07079055905342102}],"concepts":[{"id":"https://openalex.org/C193290586","wikidata":"https://www.wikidata.org/wiki/Q17022030","display_name":"Heavy traffic approximation","level":2,"score":0.7180423140525818},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.7031924724578857},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.6726462841033936},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5281296372413635},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5245659351348877},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.49172237515449524},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4874162971973419},{"id":"https://openalex.org/C24084028","wikidata":"https://www.wikidata.org/wiki/Q7429781","display_name":"Scaling limit","level":3,"score":0.4795365333557129},{"id":"https://openalex.org/C68710425","wikidata":"https://www.wikidata.org/wiki/Q5275442","display_name":"Diffusion process","level":3,"score":0.45770713686943054},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4547351002693176},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.4432598650455475},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4320748746395111},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4140644967556},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4082345962524414},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33537423610687256},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.16506829857826233},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12094199657440186},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07564869523048401},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07079055905342102},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C3017618536","wikidata":"https://www.wikidata.org/wiki/Q304994","display_name":"Innovation diffusion","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3233/asy-161360","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-161360","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:arXiv.org:1405.2192","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1405.2192","pdf_url":"https://arxiv.org/pdf/1405.2192","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":"","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.747.1125","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.747.1125","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1405.2192.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-01044426v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01044426","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, 2016, 98 (1-2), pp.31-58. &#x27E8;10.3233/ASY-161360&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1405.2192","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1405.2192","pdf_url":"https://arxiv.org/pdf/1405.2192","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":"","raw_type":null},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3597637701","display_name":null,"funder_award_id":"ANR-11-LABX-0020","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G4830050000","display_name":null,"funder_award_id":"ANR-11-LABX-0020-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6142105111","display_name":null,"funder_award_id":"11-LABX-0020-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2261865014.pdf","grobid_xml":"https://content.openalex.org/works/W2261865014.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W623361835","https://openalex.org/W1496662771","https://openalex.org/W1542004730","https://openalex.org/W1555062497","https://openalex.org/W1590126554","https://openalex.org/W1596333210","https://openalex.org/W1970236794","https://openalex.org/W1974633883","https://openalex.org/W2073078790","https://openalex.org/W2087014689","https://openalex.org/W2092911205","https://openalex.org/W2108256500","https://openalex.org/W2245540968","https://openalex.org/W2613376454","https://openalex.org/W2802739963","https://openalex.org/W3099446909","https://openalex.org/W3101325462","https://openalex.org/W3215225353"],"related_works":["https://openalex.org/W1535422765","https://openalex.org/W2020764859","https://openalex.org/W2285928999","https://openalex.org/W4252917280","https://openalex.org/W1985558068","https://openalex.org/W2137147384","https://openalex.org/W2013804921","https://openalex.org/W2051736808","https://openalex.org/W2005991120","https://openalex.org/W2911540122"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,32,39,45],"stochastic":[3,51],"diffusive":[4],"limit":[5],"of":[6,38],"a":[7,17,23,36,50],"kinetic":[8],"radiative":[9],"transfer":[10],"equation,":[11],"which":[12],"is":[13],"non":[14,52],"linear,":[15],"involving":[16],"small":[18,33],"parameter":[19],"and":[20],"perturbed":[21,40],"by":[22],"smooth":[24],"random":[25],"term.":[26],"Under":[27],"an":[28],"appropriate":[29],"scaling":[30],"for":[31],"parameter,":[34],"using":[35],"generalization":[37],"test-functions":[41],"method,":[42],"we":[43],"show":[44],"convergence":[46],"in":[47],"law":[48],"to":[49],"linear":[53],"fluid":[54],"limit.":[55]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
