{"year":"2025","date_created":"2025-08-10T22:01:29Z","OA_type":"closed access","doi":"10.1137/24M1700351","article_processing_charge":"No","month":"08","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"4","scopus_import":"1","intvolume":"        57","title":"How to construct explicit decay rates for kinetic Fokker–Planck equations?","publication_identifier":{"eissn":["1095-7154"],"issn":["0036-1410"]},"publisher":"Society for Industrial and Applied Mathematics","citation":{"short":"G. Brigati, G. Stoltz, SIAM Journal on Mathematical Analysis 57 (2025) 3587–3622.","mla":"Brigati, Giovanni, and Gabriel Stoltz. “How to Construct Explicit Decay Rates for Kinetic Fokker–Planck Equations?” <i>SIAM Journal on Mathematical Analysis</i>, vol. 57, no. 4, Society for Industrial and Applied Mathematics, 2025, pp. 3587–622, doi:<a href=\"https://doi.org/10.1137/24M1700351\">10.1137/24M1700351</a>.","apa":"Brigati, G., &#38; Stoltz, G. (2025). How to construct explicit decay rates for kinetic Fokker–Planck equations? <i>SIAM Journal on Mathematical Analysis</i>. Society for Industrial and Applied Mathematics. <a href=\"https://doi.org/10.1137/24M1700351\">https://doi.org/10.1137/24M1700351</a>","ieee":"G. Brigati and G. Stoltz, “How to construct explicit decay rates for kinetic Fokker–Planck equations?,” <i>SIAM Journal on Mathematical Analysis</i>, vol. 57, no. 4. Society for Industrial and Applied Mathematics, pp. 3587–3622, 2025.","ista":"Brigati G, Stoltz G. 2025. How to construct explicit decay rates for kinetic Fokker–Planck equations? SIAM Journal on Mathematical Analysis. 57(4), 3587–3622.","ama":"Brigati G, Stoltz G. How to construct explicit decay rates for kinetic Fokker–Planck equations? <i>SIAM Journal on Mathematical Analysis</i>. 2025;57(4):3587-3622. doi:<a href=\"https://doi.org/10.1137/24M1700351\">10.1137/24M1700351</a>","chicago":"Brigati, Giovanni, and Gabriel Stoltz. “How to Construct Explicit Decay Rates for Kinetic Fokker–Planck Equations?” <i>SIAM Journal on Mathematical Analysis</i>. Society for Industrial and Applied Mathematics, 2025. <a href=\"https://doi.org/10.1137/24M1700351\">https://doi.org/10.1137/24M1700351</a>."},"day":"01","publication_status":"published","corr_author":"1","publication":"SIAM Journal on Mathematical Analysis","date_published":"2025-08-01T00:00:00Z","article_type":"original","page":"3587-3622","department":[{"_id":"JaMa"}],"project":[{"call_identifier":"H2020","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","name":"IST-BRIDGE: International postdoctoral program","grant_number":"101034413"}],"_id":"20155","acknowledgement":"The first author was funded by the European Union's Horizon 2020 research andinnovation program under the Marie Sklodowska-Curie grant agreements 754362 and 101034413,and partially by Project EFI (ANR-17-CE40-0030) of the French National Research Agency (ANR).The work of the second author was partially funded by the European Research Council (ERC) underthe European Union's Horizon 2020 research and innovation programme (grant agreement 810367),and by the Agence Nationale de la Recherche under grants ANR-19-CE40-0010 (QuAMProcs) andANR-21-CE40-0006 (SINEQ).","quality_controlled":"1","abstract":[{"text":"We study time averages for the norm of solutions to kinetic Fokker–Planck equations associated with general Hamiltonians. We provide fully explicit and constructive decay estimates for systems subject to a confining potential, allowing fat-tail, subexponential and (super-)exponential local equilibria, which also include the classic Maxwellian case. The key step in our estimates is a modified Poincaré inequality, obtained via a Lions–Poincaré inequality and an averaging lemma.","lang":"eng"}],"author":[{"last_name":"Brigati","first_name":"Giovanni","full_name":"Brigati, Giovanni","id":"63ff57e8-1fbb-11ee-88f2-f558ffc59cf1"},{"full_name":"Stoltz, Gabriel","last_name":"Stoltz","first_name":"Gabriel"}],"type":"journal_article","oa_version":"None","ec_funded":1,"language":[{"iso":"eng"}],"status":"public","date_updated":"2025-08-11T07:11:57Z","volume":57}