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External boundary control of the motion of a rigid body immersed in a perfect two-dimensional fluid

hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorGLASS, Olivier
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
hal.structure.identifierLeipzig University / Universität Leipzig
dc.contributor.authorKOLUMBÁN, József
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorSUEUR, Franck
dc.date.accessioned2024-04-04T03:01:07Z
dc.date.available2024-04-04T03:01:07Z
dc.date.issued2020-04-15
dc.identifier.issn2157-5045
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192873
dc.description.abstractEnWe consider the motion of a rigid body due to the pressure of a surrounded two-dimensional irrotational perfect incompressible fluid, the whole system being confined in a bounded domain with an impermeable condition on a part of the external boundary. Thanks to an impulsive control strategy we prove that there exists an appropriate boundary condition on the remaining part of the external boundary (allowing some fluid going in and out the domain) such that the immersed rigid body is driven from some given initial position and velocity to some final position and velocity in a given positive time, without touching the external boundary. The controlled part of the external boundary is assumed to have a nonvoid interior and the final position is assumed to be in the same connected component of the set of possible positions as the initial position.
dc.description.sponsorshipInteraction Fluide-Structure : Modélisation, analyse, contrôle et simulation - ANR-15-CE40-0010
dc.description.sponsorshipDYnamique des Fluides, Couches Limites, Tourbillons et Interfaces - ANR-13-BS01-0003
dc.description.sponsorshipBords, oscillations et couches limites dans les systèmes différentiels - ANR-16-CE40-0027
dc.description.sponsorshipEcoulements avec singularités : couches limites, filaments de vortex, interaction vague-structure - ANR-18-CE40-0027
dc.language.isoen
dc.publisherMathematical Sciences Publishers
dc.subject.enexternal boundary control
dc.subject.enEuler equation
dc.subject.encontrol problem
dc.subject.enFluid-solid interaction
dc.subject.enimpulsive control
dc.subject.engeodesics
dc.subject.encoupled ODE- PDE system
dc.subject.enfluid mechanics
dc.title.enExternal boundary control of the motion of a rigid body immersed in a perfect two-dimensional fluid
dc.typeArticle de revue
dc.identifier.doi10.2140/apde.2020.13.651
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.identifier.arxiv1707.05093
bordeaux.journalAnalysis & PDE
bordeaux.page651–684
bordeaux.volume13
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue3
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01562320
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01562320v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Analysis%20&%20PDE&rft.date=2020-04-15&rft.volume=13&rft.issue=3&rft.spage=651%E2%80%93684&rft.epage=651%E2%80%93684&rft.eissn=2157-5045&rft.issn=2157-5045&rft.au=GLASS,%20Olivier&KOLUMB%C3%81N,%20J%C3%B3zsef&SUEUR,%20Franck&rft.genre=article


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