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• W2884421883 abstract "We consider the motion of a rigid body immersed in a two-dimensional viscous incompressible fluid with Navierslip-with-friction conditions at the solid boundary. The fluid-solid system occupies the whole plane. We provethe small-time exact controllability of the position and velocity of the solid when the control takes the form of adistributed force supported in a compact subset (with nonvoid interior) of the fluid domain, away from the body.The strategy relies on the introduction of a small parameter: we consider fast and strong amplitude controls forwhich the ``Navier-Stokes+rigid body'' system behaves like a perturbation of the ``Euler+rigid body'' system. Bythe means of a multi-scale asymptotic expansion we construct a controlled solution to the ``Navier-Stokes+rigidbody'' system thanks to some controlled solutions to ``Euler+rigid body''-type systems and to a detailed analysis ofthe influence of the boundary layer on the solid motion." @default.
• W2884421883 created "2018-08-03" @default.
• W2884421883 creator A5037256455 @default.
• W2884421883 date "2018-07-18" @default.
• W2884421883 modified "2023-09-27" @default.
• W2884421883 title "Control at a distance of the motion of a rigid body immersed in a two-dimensional viscous incompressible fluid" @default.
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• W2884421883 hasPublicationYear "2018" @default.
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