Lagrangian controllability of inviscid perfect fluids: a constructive approach
Optimization and Control
2016-06-01 v2 Analysis of PDEs
Abstract
We present here a constructive method of Lagrangian approximate control- lability for the Euler equation. We emphasize on different options that could be used for numerical recipes: either, in the case of a bi-dimensionnal fluid, the use of formal com- putations in the framework of explicit Runge approximations of holomorphic functions by rational functions, or an approach based on the study of the range of an operator by showing a density result. For this last insight in view of numerical simulations in progress, we analyse through a simplified problem the observed instabilities.
Cite
@article{arxiv.1602.03041,
title = {Lagrangian controllability of inviscid perfect fluids: a constructive approach},
author = {T. Horsin and O. Kavian},
journal= {arXiv preprint arXiv:1602.03041},
year = {2016}
}