Lagrangian controllability at low Reynolds number

Abstract : In this paper, we establish a result of Lagrangian controllability for a fluid at low Reynolds number, driven by the stationary Stokes equation. This amounts to the possibility of displacing a part of a fluid from one zone to another by suitably using a boundary control. This relies on a weak variant of the Runge-Walsh's theorem (on approximation of harmonic functions) concerning the Stokes equation. We give two variants of this result, one of which we believe to be better adapted to numerical simulations.
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ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2016, Special Issue in honor of Jean-Michel Coron for his 60th birthday, 22 (4), pp.1040 - 1053. <http://www.esaim-cocv.org>. <10.1051/cocv/2016032>
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https://hal.archives-ouvertes.fr/hal-01424530
Contributeur : Olivier Glass <>
Soumis le : lundi 2 janvier 2017 - 14:57:11
Dernière modification le : mardi 3 janvier 2017 - 01:04:20

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Olivier Glass, Thierry Horsin. Lagrangian controllability at low Reynolds number. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2016, Special Issue in honor of Jean-Michel Coron for his 60th birthday, 22 (4), pp.1040 - 1053. <http://www.esaim-cocv.org>. <10.1051/cocv/2016032>. <hal-01424530>

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