<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-04079910v1</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-10T08:44:47+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">L 2 Hypocoercivity methods for kinetic Fokker-Planck equations with factorised Gibbs states</title>
            <author role="aut">
              <persName>
                <forename type="first">Emeric</forename>
                <surname>Bouin</surname>
              </persName>
              <email type="md5">96a05e01c2ba9181f8038b3f5dd1fc84</email>
              <email type="domain">ceremade.dauphine.fr</email>
              <idno type="idhal" notation="numeric">1081572</idno>
              <idno type="halauthorid" notation="string">615896-1081572</idno>
              <affiliation ref="#struct-60"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Jean</forename>
                <surname>Dolbeault</surname>
              </persName>
              <email type="md5">3369e41b8636cf57d4d79bbdd1be8c8d</email>
              <email type="domain">ceremade.dauphine.fr</email>
              <idno type="idhal" notation="string">dolbeaul</idno>
              <idno type="idhal" notation="numeric">87</idno>
              <idno type="halauthorid" notation="string">570-87</idno>
              <idno type="RESEARCHERID">http://www.researcherid.com/rid/O-2328-2017</idno>
              <idno type="ORCID">https://orcid.org/0000-0003-4234-2298</idno>
              <idno type="IDREF">https://www.idref.fr/120112507</idno>
              <idno type="RESEARCHERID">http://www.researcherid.com/rid/http://www.researcherid.com/rid/O-2328-2017</idno>
              <idno type="ARXIV">https://arxiv.org/a/dolbeault_j_1</idno>
              <idno type="GOOGLE SCHOLAR">https://scholar.google.fr/citations?user=ky2LFVsAAAAJ</idno>
              <affiliation ref="#struct-60"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Luca</forename>
                <surname>Ziviani</surname>
              </persName>
              <email type="md5">96d25992a23950bfb5345e1e64563ebb</email>
              <email type="domain">dauphine.eu</email>
              <idno type="idhal" notation="numeric">1249841</idno>
              <idno type="halauthorid" notation="string">2793934-1249841</idno>
              <affiliation ref="#struct-60"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Jean</forename>
                <surname>Dolbeault</surname>
              </persName>
              <email type="md5">3369e41b8636cf57d4d79bbdd1be8c8d</email>
              <email type="domain">ceremade.dauphine.fr</email>
            </editor>
            <funder>L.Z. received funding from the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement No. 945322.</funder>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2023-04-24 14:55:25</date>
              <date type="whenModified">2025-06-13 11:20:02</date>
              <date type="whenReleased">2023-04-25 09:18:00</date>
              <date type="whenProduced">2023-04-24</date>
              <date type="whenEndEmbargoed">2023-04-24</date>
              <ref type="file" target="https://hal.science/hal-04079910v1/document">
                <date notBefore="2023-04-24"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.science/hal-04079910v1/file/BDZ2023.pdf" id="file-4079910-3550926">
                <date notBefore="2023-04-24"/>
              </ref>
            </edition>
            <edition n="v2">
              <date type="whenSubmitted">2023-08-09 12:50:41</date>
            </edition>
            <edition n="v3">
              <date type="whenSubmitted">2024-11-29 11:50:14</date>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="101536">
                <persName>
                  <forename>Jean</forename>
                  <surname>Dolbeault</surname>
                </persName>
                <email type="md5">3369e41b8636cf57d4d79bbdd1be8c8d</email>
                <email type="domain">ceremade.dauphine.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-04079910</idno>
            <idno type="halUri">https://hal.science/hal-04079910</idno>
            <idno type="halBibtex">bouin:hal-04079910</idno>
            <idno type="halRefHtml">2023</idno>
            <idno type="halRef">2023</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-4079910-3550926"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt/>
          <notesStmt/>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">L 2 Hypocoercivity methods for kinetic Fokker-Planck equations with factorised Gibbs states</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Emeric</forename>
                    <surname>Bouin</surname>
                  </persName>
                  <email type="md5">96a05e01c2ba9181f8038b3f5dd1fc84</email>
                  <email type="domain">ceremade.dauphine.fr</email>
                  <idno type="idhal" notation="numeric">1081572</idno>
                  <idno type="halauthorid" notation="string">615896-1081572</idno>
                  <affiliation ref="#struct-60"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Jean</forename>
                    <surname>Dolbeault</surname>
                  </persName>
                  <email type="md5">3369e41b8636cf57d4d79bbdd1be8c8d</email>
                  <email type="domain">ceremade.dauphine.fr</email>
                  <idno type="idhal" notation="string">dolbeaul</idno>
                  <idno type="idhal" notation="numeric">87</idno>
                  <idno type="halauthorid" notation="string">570-87</idno>
                  <idno type="RESEARCHERID">http://www.researcherid.com/rid/O-2328-2017</idno>
                  <idno type="ORCID">https://orcid.org/0000-0003-4234-2298</idno>
                  <idno type="IDREF">https://www.idref.fr/120112507</idno>
                  <idno type="RESEARCHERID">http://www.researcherid.com/rid/http://www.researcherid.com/rid/O-2328-2017</idno>
                  <idno type="ARXIV">https://arxiv.org/a/dolbeault_j_1</idno>
                  <idno type="GOOGLE SCHOLAR">https://scholar.google.fr/citations?user=ky2LFVsAAAAJ</idno>
                  <affiliation ref="#struct-60"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Luca</forename>
                    <surname>Ziviani</surname>
                  </persName>
                  <email type="md5">96d25992a23950bfb5345e1e64563ebb</email>
                  <email type="domain">dauphine.eu</email>
                  <idno type="idhal" notation="numeric">1249841</idno>
                  <idno type="halauthorid" notation="string">2793934-1249841</idno>
                  <affiliation ref="#struct-60"/>
                </author>
              </analytic>
              <monogr>
                <imprint>
                  <date type="datePub">2023-04-24</date>
                </imprint>
              </monogr>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">Nash inequality</term>
                <term xml:lang="en">Poincaré inequality</term>
                <term xml:lang="en">weighted Poincaré inequality</term>
                <term xml:lang="en">Hardy-Poincaré inequality</term>
                <term xml:lang="en">Caffarelli-Kohn-Nirenberg inequality</term>
                <term xml:lang="en">diffusion limit</term>
                <term xml:lang="en">transport operator</term>
                <term xml:lang="en">Fokker-Planck operator</term>
                <term xml:lang="en">entropy -entropy production inequalities</term>
                <term xml:lang="en">linear kinetic equations</term>
                <term xml:lang="en">Hypocoercivity</term>
              </keywords>
              <classCode scheme="classification">82C40, 35H10, 35K65, 35Q84, 76P05, 35P15</classCode>
              <classCode scheme="halDomain" n="math">Mathematics [math]</classCode>
              <classCode scheme="halTypology" n="UNDEFINED">Preprints, Working Papers, ...</classCode>
              <classCode scheme="halOldTypology" n="UNDEFINED">Preprints, Working Papers, ...</classCode>
              <classCode scheme="halTreeTypology" n="UNDEFINED">Preprints, Working Papers, ...</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>This contribution deals with L2 hypocoercivity methods for kinetic Fokker-Planck equations with integrable local equilibria and a factorisation property that relates the Fokker-Planck and the transport operators. Rates of convergence in presence of a global equilibrium, or decay rates otherwise, are estimated either by the corresponding rates in the diffusion limit, or by the rates of convergence to local equilibria, under moment conditions. On the basis of the underlying functional inequalities, we establish a classification of decay and convergence rates for large times, which includes for instance sub-exponential local equilibria and subexponential potentials.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-60" status="VALID">
          <idno type="IdRef">088064239</idno>
          <idno type="ISNI">0000 0004 0645 4046</idno>
          <idno type="RNSR">199712592E</idno>
          <idno type="ROR">https://ror.org/03s0gj002</idno>
          <idno type="Wikidata">Q2913547</idno>
          <orgName>CEntre de REcherches en MAthématiques de la DEcision</orgName>
          <orgName type="acronym">CEREMADE</orgName>
          <date type="start">1971-01-01</date>
          <desc>
            <address>
              <addrLine>Place du Maréchal de Lattre de Tassigny 75775 - Paris Cedex 16</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ceremade.dauphine.fr/index.html</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300302" type="direct"/>
            <relation active="#struct-564132" type="indirect"/>
            <relation name="UMR7534 / URA749" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300302" status="VALID">
          <idno type="IdRef">027787109</idno>
          <idno type="ISNI">0000000120977052</idno>
          <idno type="ROR">https://ror.org/052bz7812</idno>
          <idno type="Wikidata">Q1546437</idno>
          <orgName>Université Paris Dauphine-PSL</orgName>
          <desc>
            <address>
              <addrLine>Place du Maréchal de Lattre de Tassigny75775 PARIS Cedex 16</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://dauphine.psl.eu/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-564132" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-564132" status="VALID">
          <idno type="IdRef">241597595</idno>
          <idno type="ISNI">0000 0004 1784 3645</idno>
          <idno type="ROR">https://ror.org/013cjyk83</idno>
          <orgName>Université Paris Sciences et Lettres</orgName>
          <orgName type="acronym">PSL</orgName>
          <desc>
            <address>
              <addrLine>60 rue Mazarine 75006 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.psl.eu/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>