GLASS, Olivier; KOLUMBÁN, József; SUEUR, Franck

doi:10.2140/apde.2020.13.651

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Licence d’utilisation du document

GLASS, Olivier
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]

KOLUMBÁN, József
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Leipzig University / Universität Leipzig

SUEUR, Franck
Institut de Mathématiques de Bordeaux [IMB]

Langue

Article de revue

Ce document a été publié dans

Analysis & PDE. 2020-04-15, vol. 13, n° 3, p. 651–684

Mathematical Sciences Publishers

Résumé en anglais

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.< Réduire

Mots clés en anglais

external boundary control

Euler equation

control problem

Fluid-solid interaction

impulsive control

geodesics

coupled ODE- PDE system

fluid mechanics

URI

https://oskar-bordeaux.fr/handle/20.500.12278/192873

DOI

http://dx.doi.org/10.2140/apde.2020.13.651

Project ANR

Interaction Fluide-Structure : Modélisation, analyse, contrôle et simulation - ANR-15-CE40-0010
DYnamique des Fluides, Couches Limites, Tourbillons et Interfaces - ANR-13-BS01-0003
Bords, oscillations et couches limites dans les systèmes différentiels - ANR-16-CE40-0027
Ecoulements avec singularités : couches limites, filaments de vortex, interaction vague-structure - ANR-18-CE40-0027

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251