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hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorGlass, Olivier*
hal.structure.identifierUniversität Leipzig
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorKolumbán, József*
hal.structure.identifier
dc.contributor.authorSueur, Franck
HAL ID: 177864
*
dc.date.accessioned2017-12-06T14:29:04Z
dc.date.available2017-12-06T14:29:04Z
dc.date.issued2017
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/17188
dc.language.isoenen
dc.subjectexternal boundary control
dc.subjectEuler equation
dc.subjectcontrol problem
dc.subjectFluid-solid interaction
dc.subjectimpulsive control
dc.subjectgeodesics
dc.subjectcoupled ODE- PDE system
dc.subjectfluid mechanics
dc.subject.ddc515en
dc.titleExternal boundary control of the motion of a rigid body immersed in a perfect two-dimensional fluid
dc.typeDocument de travail / Working paper
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.identifier.citationpages37
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris-Dauphine
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01562320
dc.subject.ddclabelAnalyseen
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dc.description.halcandidatenon
dc.description.readershiprecherche
dc.description.audienceInternational
dc.date.updated2017-12-15T15:33:29Z
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