Lagrangian controllability at low Reynolds number
Optimization and Control
2016-02-10 v1 Analysis of PDEs
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.
Cite
@article{arxiv.1602.03045,
title = {Lagrangian controllability at low Reynolds number},
author = {O. Glass and T. Horsin},
journal= {arXiv preprint arXiv:1602.03045},
year = {2016}
}