hal.structure.identifier CEntre de REcherches en MAthématiques de la DEcision [CEREMADE] dc.contributor.author Glass, Olivier * hal.structure.identifier Universität Leipzig hal.structure.identifier CEntre de REcherches en MAthématiques de la DEcision [CEREMADE] dc.contributor.author Kolumbán, József * hal.structure.identifier dc.contributor.author Sueur, Franck HAL ID: 177864 * dc.date.accessioned 2017-12-06T14:29:04Z dc.date.available 2017-12-06T14:29:04Z dc.date.issued 2017 dc.identifier.uri https://basepub.dauphine.fr/handle/123456789/17188 dc.language.iso en en dc.subject external boundary control dc.subject Euler equation dc.subject control problem dc.subject Fluid-solid interaction dc.subject impulsive control dc.subject geodesics dc.subject coupled ODE- PDE system dc.subject fluid mechanics dc.subject.ddc 515 en dc.title External boundary control of the motion of a rigid body immersed in a perfect two-dimensional fluid dc.type Document de travail / Working paper dc.description.abstracten We 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.citationpages 37 dc.relation.ispartofseriestitle Cahier de recherche CEREMADE, Université Paris-Dauphine dc.identifier.urlsite https://hal.archives-ouvertes.fr/hal-01562320 dc.subject.ddclabel Analyse en dc.description.ssrncandidate non dc.description.halcandidate non dc.description.readership recherche dc.description.audience International dc.date.updated 2017-12-15T15:33:29Z hal.author.function aut hal.author.function aut hal.author.function aut
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