Lagrangian controllability at low Reynolds number

O. Glass; T. Horsin

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arXiv · 1602.03045

Lagrangian controllability at low Reynolds number

O. Glass·T. Horsin

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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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O. Glass, T. Horsin. 2016-02-09. Lagrangian controllability at low Reynolds number. https://arxiv.org/abs/1602.03045

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