{"id":"https://openalex.org/W4306917307","doi":"https://doi.org/10.1137/22m1530197","title":"Diffusive Limit of the Vlasov\u2013Poisson\u2013Fokker\u2013Planck Model: Quantitative and Strong Convergence Results","display_name":"Diffusive Limit of the Vlasov\u2013Poisson\u2013Fokker\u2013Planck Model: Quantitative and Strong Convergence Results","publication_year":2023,"publication_date":"2023-10-04","ids":{"openalex":"https://openalex.org/W4306917307","doi":"https://doi.org/10.1137/22m1530197"},"language":"en","primary_location":{"id":"doi:10.1137/22m1530197","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1530197","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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":"SIAM Journal on Mathematical 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/2210.10396","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033459491","display_name":"Alain Blaustein","orcid":"https://orcid.org/0009-0006-3866-2175"},"institutions":[{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555","https://openalex.org/I4405258862"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Alain Blaustein","raw_affiliation_strings":["Universit\u00e9 Toulouse III Paul Sabatier, 118, route de Narbonne, 31062, Toulouse Cedex 9, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Toulouse III Paul Sabatier, 118, route de Narbonne, 31062, Toulouse Cedex 9, France","institution_ids":["https://openalex.org/I134560555"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5033459491"],"corresponding_institution_ids":["https://openalex.org/I134560555"],"apc_list":null,"apc_paid":null,"fwci":2.5913,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.87875082,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"55","issue":"5","first_page":"5464","last_page":"5482"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9994000196456909,"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":0.9994000196456909,"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/T10067","display_name":"Stochastic processes and financial applications","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7669955492019653},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6442965865135193},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6183432340621948},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5848809480667114},{"id":"https://openalex.org/keywords/phase-space","display_name":"Phase space","score":0.5454819798469543},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5202609300613403},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5157499313354492},{"id":"https://openalex.org/keywords/fokker\u2013planck-equation","display_name":"Fokker\u2013Planck equation","score":0.509423553943634},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.49197980761528015},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.45052865147590637},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4281449019908905},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4005430340766907},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3965418338775635},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.1883583664894104},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.152250736951828},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08571183681488037},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08074769377708435}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7669955492019653},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6442965865135193},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6183432340621948},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5848809480667114},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.5454819798469543},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5202609300613403},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5157499313354492},{"id":"https://openalex.org/C69123182","wikidata":"https://www.wikidata.org/wiki/Q891766","display_name":"Fokker\u2013Planck equation","level":3,"score":0.509423553943634},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.49197980761528015},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.45052865147590637},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4281449019908905},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4005430340766907},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3965418338775635},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.1883583664894104},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.152250736951828},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08571183681488037},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08074769377708435},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/22m1530197","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1530197","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2210.10396","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2210.10396","pdf_url":"https://arxiv.org/pdf/2210.10396","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":"text"},{"id":"pmh:oai:HAL:hal-03820110v3","is_oa":true,"landing_page_url":"https://hal.science/hal-03820110","pdf_url":"https://hal.science/hal-03820110/document","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":"SIAM Journal on Mathematical Analysis, 2023, 55 (5), pp.5464-5482. &#x27E8;10.1137/22M1530197&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:HAL:hal-03820110v1","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-03820110","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":"https://hal.archives-ouvertes.fr/hal-03820110","raw_type":"info:eu-repo/semantics/preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2210.10396","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2210.10396","pdf_url":"https://arxiv.org/pdf/2210.10396","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":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4699999988079071}],"awards":[{"id":"https://openalex.org/G6050737505","display_name":null,"funder_award_id":"ANR-19-CE46-000","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6582100286","display_name":null,"funder_award_id":"ANR-19-CE46-0004","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8318455765","display_name":null,"funder_award_id":"ANR-19","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":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W47858079","https://openalex.org/W756921862","https://openalex.org/W1547162705","https://openalex.org/W1808002509","https://openalex.org/W1866311589","https://openalex.org/W1967714339","https://openalex.org/W1977657887","https://openalex.org/W1984719861","https://openalex.org/W1994725903","https://openalex.org/W2009523479","https://openalex.org/W2024807794","https://openalex.org/W2032502639","https://openalex.org/W2033018963","https://openalex.org/W2035073643","https://openalex.org/W2040230915","https://openalex.org/W2041491382","https://openalex.org/W2060552958","https://openalex.org/W2061905804","https://openalex.org/W2075642140","https://openalex.org/W2089361599","https://openalex.org/W2091860601","https://openalex.org/W2094205304","https://openalex.org/W2117709159","https://openalex.org/W2126967209","https://openalex.org/W2132254595","https://openalex.org/W2148340421","https://openalex.org/W2339284350","https://openalex.org/W2661764014","https://openalex.org/W2964281471","https://openalex.org/W3106221471","https://openalex.org/W3175504352","https://openalex.org/W4205571666","https://openalex.org/W4281621238"],"related_works":["https://openalex.org/W2992409218","https://openalex.org/W1494630543","https://openalex.org/W4388311650","https://openalex.org/W1974056099","https://openalex.org/W4245343541","https://openalex.org/W2386077341","https://openalex.org/W563589758","https://openalex.org/W5922282","https://openalex.org/W1850281117","https://openalex.org/W2155632758"],"abstract_inverted_index":{"This":[0],"work":[1],"tackles":[2],"the":[3,7,43,72,83,90,98],"diffusive":[4],"limit":[5,74],"for":[6],"Vlasov-Poisson-Fokker-Planck\\nmodel.":[8],"We":[9],"derive":[10],"a":[11,23,28],"priori":[12],"estimates":[13],"which":[14],"hold":[15],"without":[16],"restriction":[17],"on":[18,81],"the\\nphase-space":[19],"dimension":[20],"and":[21],"propose":[22],"strong":[24],"convergence":[25],"result":[26,61],"in":[27,52,71],"L2":[29],"space.\\nFurthermore,":[30],"we":[31],"strengthen":[32],"previous":[33],"results":[34],"by":[35],"obtaining":[36],"an":[37],"explicit\\nconvergence":[38],"rate":[39],"arbitrarily":[40],"close":[41],"to":[42,69,88],"(formal)":[44],"optimal":[45],"rate,":[46],"provided":[47],"that\\nthe":[48],"initial":[49],"data":[50],"lies":[51],"some":[53],"Lp":[54],"space":[55],"with":[56],"p":[57],"large":[58],"enough.":[59],"Our":[60],"holds":[62],"on\\nbounded":[63],"time":[64],"intervals":[65],"whose":[66],"size":[67],"grow":[68],"infinity":[70],"asymptotic":[73],"with\\nexplicit":[75],"lower":[76],"bound.":[77],"The":[78],"analysis":[79],"relies":[80],"identifying":[82],"right":[84],"set":[85,96],"of\\nphase-space":[86],"coordinates":[87],"study":[89],"regime":[91],"of":[92],"interest.":[93],"In":[94],"this":[95],"of\\ncoordinates":[97],"limiting":[99],"model":[100],"arises":[101],"explicitly.\\n":[102]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
