External boundary control of the motion of a rigid body immersed in a perfect two-dimensional fluid
KOLUMBÁN, József
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Leipzig University / Universität Leipzig
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Leipzig University / Universität Leipzig
KOLUMBÁN, József
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Leipzig University / Universität Leipzig
< Reduce
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Leipzig University / Universität Leipzig
Language
en
Article de revue
This item was published in
Analysis & PDE. 2020-04-15, vol. 13, n° 3, p. 651–684
Mathematical Sciences Publishers
English Abstract
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 ...Read more >
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.Read less <
English Keywords
external boundary control
Euler equation
control problem
Fluid-solid interaction
impulsive control
geodesics
coupled ODE- PDE system
fluid mechanics
ANR Project
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
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
Origin
Hal imported