<?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-01572508</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="2026-05-18T19:09:15+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Local null controllability of a rigid body moving into a Boussinesq flow</title>
            <author role="aut">
              <persName>
                <forename type="first">Arnab</forename>
                <surname>Roy</surname>
              </persName>
              <email type="md5">24ce51c8ed55dafee8e9cc6196a00625</email>
              <email type="domain">math.tifrbng.res.in</email>
              <idno type="idhal" notation="string">arnab-roy</idno>
              <idno type="idhal" notation="numeric">171905</idno>
              <idno type="halauthorid" notation="string">43281-171905</idno>
              <affiliation ref="#struct-96289"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Takéo</forename>
                <surname>Takahashi</surname>
              </persName>
              <email type="md5">46a5887886dcf334cc3bf08693ba700e</email>
              <email type="domain">inria.fr</email>
              <idno type="idhal" notation="string">takeo-takahashi</idno>
              <idno type="idhal" notation="numeric">10343</idno>
              <idno type="halauthorid" notation="string">16243-10343</idno>
              <affiliation ref="#struct-418609"/>
              <affiliation ref="#struct-211251"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Takéo</forename>
                <surname>Takahashi</surname>
              </persName>
              <email type="md5">46a5887886dcf334cc3bf08693ba700e</email>
              <email type="domain">inria.fr</email>
            </editor>
            <funder ref="#projanr-41654"/>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2017-08-07 16:18:15</date>
              <date type="whenModified">2026-04-10 15:00:02</date>
              <date type="whenReleased">2017-08-08 08:46:21</date>
              <date type="whenProduced">2019</date>
              <date type="whenEndEmbargoed">2017-08-07</date>
              <ref type="file" target="https://hal.science/hal-01572508v1/document">
                <date notBefore="2017-08-07"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.science/hal-01572508v1/file/boussi-rigidbody-20170801.pdf" id="file-1572508-1626249">
                <date notBefore="2017-08-07"/>
              </ref>
              <ref type="externalLink" target="https://www.aimsciences.org/article/exportPdf?id=d941427b-3d60-4dd6-89a0-4c7f667f8f99"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="112687">
                <persName>
                  <forename>Takéo</forename>
                  <surname>Takahashi</surname>
                </persName>
                <email type="md5">46a5887886dcf334cc3bf08693ba700e</email>
                <email type="domain">inria.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-01572508</idno>
            <idno type="halUri">https://hal.science/hal-01572508</idno>
            <idno type="halBibtex">roy:hal-01572508</idno>
            <idno type="halRefHtml">&lt;i&gt;Mathematical Control and Related Fields&lt;/i&gt;, 2019, 9 (4), pp.793-836. &lt;a target="_blank" href="https://dx.doi.org/10.3934/mcrf.2019050"&gt;&amp;#x27E8;10.3934/mcrf.2019050&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Mathematical Control and Related Fields, 2019, 9 (4), pp.793-836. &amp;#x27E8;10.3934/mcrf.2019050&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-1572508-1626249"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="INRIA">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="IECN">IECL - Institut Elie Cartan de Lorraine</idno>
            <idno type="stamp" n="INSMI">CNRS-INSMI - INstitut des Sciences Mathématiques et de leurs Interactions</idno>
            <idno type="stamp" n="INRIA_TEST">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="INRIA-NANCY-GRAND-EST">INRIA Nancy - Grand Est</idno>
            <idno type="stamp" n="TESTALAIN1">TESTALAIN1</idno>
            <idno type="stamp" n="UNIV-LORRAINE">Université de Lorraine</idno>
            <idno type="stamp" n="INRIA2">INRIA 2</idno>
            <idno type="stamp" n="TDS-MACS">Réseau de recherche en Théorie des Systèmes Distribués, Modélisation, Analyse et Contrôle des Systèmes</idno>
            <idno type="stamp" n="IECLEDP">Equations aux dérivées partielles</idno>
            <idno type="stamp" n="INRIA2017-PREPRINT">INRIA2017-PREPRINT</idno>
            <idno type="stamp" n="ANR">ANR</idno>
            <idno type="stamp" n="INRIAARTDOI">INRIAARTDOI</idno>
            <idno type="stamp" n="INRIA-INDE">Copublications Inria - Inde</idno>
            <idno type="stamp" n="ANR-OCEANS-15TO18" corresp="ANR-OCEANS">ANR-OCEANS-15TO18</idno>
            <idno type="stamp" n="ANR-OCEANS">ANR-OCEANS</idno>
            <idno type="stamp" n="AM2I-UL">Pôle scientifique Automatique, Mathématiques, Informatique et leurs Intéractions de l'Université de Lorraine</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Local null controllability of a rigid body moving into a Boussinesq flow</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Arnab</forename>
                    <surname>Roy</surname>
                  </persName>
                  <email type="md5">24ce51c8ed55dafee8e9cc6196a00625</email>
                  <email type="domain">math.tifrbng.res.in</email>
                  <idno type="idhal" notation="string">arnab-roy</idno>
                  <idno type="idhal" notation="numeric">171905</idno>
                  <idno type="halauthorid" notation="string">43281-171905</idno>
                  <affiliation ref="#struct-96289"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Takéo</forename>
                    <surname>Takahashi</surname>
                  </persName>
                  <email type="md5">46a5887886dcf334cc3bf08693ba700e</email>
                  <email type="domain">inria.fr</email>
                  <idno type="idhal" notation="string">takeo-takahashi</idno>
                  <idno type="idhal" notation="numeric">10343</idno>
                  <idno type="halauthorid" notation="string">16243-10343</idno>
                  <affiliation ref="#struct-418609"/>
                  <affiliation ref="#struct-211251"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">66852</idno>
                <idno type="issn">2156-8472</idno>
                <idno type="eissn">2156-8499</idno>
                <title level="j">Mathematical Control and Related Fields</title>
                <imprint>
                  <publisher>AIMS</publisher>
                  <biblScope unit="volume">9</biblScope>
                  <biblScope unit="issue">4</biblScope>
                  <biblScope unit="pp">793-836</biblScope>
                  <date type="datePub">2019</date>
                </imprint>
              </monogr>
              <idno type="doi">10.3934/mcrf.2019050</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">system</term>
                <term xml:lang="en">Controllability</term>
                <term xml:lang="en">Rigid body</term>
                <term xml:lang="en">Carleman inequality</term>
                <term xml:lang="en">Boussinesq</term>
                <term xml:lang="en">Fluid-structure interaction</term>
                <term xml:lang="en">Navier-Stokes equations</term>
              </keywords>
              <classCode scheme="classification">AMS subject classifications 35Q30,  93C20,  76D05,  93B05</classCode>
              <classCode scheme="halDomain" n="math.math-ap">Mathematics [math]/Analysis of PDEs [math.AP]</classCode>
              <classCode scheme="halDomain" n="math.math-oc">Mathematics [math]/Optimization and Control [math.OC]</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>In this paper, we study the controllability of a fluid-structure interaction system. We consider a viscous and incompressible fluid modeled by the Boussinesq system and the structure is a rigid body with arbitrary shape which satisfies Newton's laws of motion. We assume that the motion of this system is bidimensional in space. We prove the local null controllability for the velocity and temperature of the fluid and for the position and velocity of rigid body for a control acting only on the temperature equation on a fixed subset of the fluid domain.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-96289" status="VALID">
          <orgName>Center for Applicable Mathematics [Bangalore]</orgName>
          <orgName type="acronym">TIFR-CAM</orgName>
          <desc>
            <address>
              <addrLine>Post Bag No 6503, GKVK Post OfficeSharada Nagar, ChikkabommsandraBangalore 560065Karnataka</addrLine>
              <country key="IN"/>
            </address>
            <ref type="url">http://math.tifrbng.res.in/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-328231" type="direct"/>
          </listRelation>
        </org>
        <org type="researchteam" xml:id="struct-418609" status="VALID">
          <idno type="RNSR">201521245G</idno>
          <idno type="ROR">https://ror.org/03bj6gc92</idno>
          <orgName>Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization</orgName>
          <orgName type="acronym">SPHINX</orgName>
          <date type="start">2015-01-01</date>
          <date type="end">2026-12-31</date>
          <desc>
            <address>
              <addrLine>CRNS, Université de Lorraine, 615 Rue du Jardin-Botanique, 54600 Villers-lès-Nancy</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/equipes/sphinx</ref>
          </desc>
          <listRelation>
            <relation active="#struct-129671" type="direct"/>
            <relation active="#struct-300009" type="indirect"/>
            <relation active="#struct-211251" type="direct"/>
            <relation active="#struct-413289" type="indirect"/>
            <relation name="UMR7502" active="#struct-441569" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-211251" status="VALID">
          <idno type="IdRef">180064606</idno>
          <idno type="ISNI">0000000120974820</idno>
          <idno type="RNSR">199712570F</idno>
          <idno type="IdUnivLorraine">[UL]RSB--</idno>
          <idno type="ROR">https://ror.org/04rvw8791</idno>
          <orgName>Institut Élie Cartan de Lorraine</orgName>
          <orgName type="acronym">IECL</orgName>
          <date type="start">2013-01-01</date>
          <desc>
            <address>
              <addrLine>Université de Lorraine, Boulevard des Aiguillettes BP 70239 54506 Vandoeuvre-les-Nancy CedexIle du Saulcy - 57 045 Metz Cedex 01</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://iecl.univ-lorraine.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-413289" type="direct"/>
            <relation name="UMR7502" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-328231" status="VALID">
          <idno type="ROR">https://ror.org/03ht1xw27</idno>
          <orgName>Tata Institute for Fundamental Research</orgName>
          <orgName type="acronym">TIFR</orgName>
          <date type="start">1945-01-01</date>
          <desc>
            <address>
              <addrLine>Homi Bhabha Road, ColabaMumbai 400005, INDIA</addrLine>
              <country key="IN"/>
            </address>
            <ref type="url">https://www.tifr.res.in/</ref>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-129671" status="VALID">
          <idno type="RNSR">198618246Y</idno>
          <idno type="ROR">https://ror.org/03fcjvn64</idno>
          <orgName>Centre Inria de l'Université de Lorraine</orgName>
          <desc>
            <address>
              <addrLine>615 rue du Jardin Botanique 54600 Villers-lès-Nancy</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/nancy</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300009" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300009" status="VALID">
          <idno type="ROR">https://ror.org/02kvxyf05</idno>
          <orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
          <orgName type="acronym">Inria</orgName>
          <desc>
            <address>
              <addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/en/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-413289" status="VALID">
          <idno type="IdRef">157040569</idno>
          <idno type="IdUnivLorraine">[UL]100--</idno>
          <idno type="ROR">https://ror.org/04vfs2w97</idno>
          <orgName>Université de Lorraine</orgName>
          <orgName type="acronym">UL</orgName>
          <date type="start">2012-01-01</date>
          <desc>
            <address>
              <addrLine>34 cours Léopold - CS 25233 - 54052 Nancy cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-lorraine.fr/</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>
      <listOrg type="projects">
        <org type="anrProject" xml:id="projanr-41654" status="VALID">
          <idno type="anr">ANR-15-CE40-0010</idno>
          <idno type="program">Défi de tous les savoirs</idno>
          <orgName>IFSMACS</orgName>
          <desc>Interaction Fluide-Structure : Modélisation, analyse, contrôle et simulation</desc>
          <date type="start">2015</date>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>