Approximate controllability for 2D Euler equations
Optimization and Control
2025-04-17 v2
Abstract
Approximate controllability of the Euler equations is investigated by means of a finite set of actuators. It is proven that approximate controllability holds if we can find a saturating subset of actuators. The notion of saturating set is relaxed when compared to previous literature, still being a sufficient condition for approximate controllability. The result holds for general bounded two-dimensional spatial domains with smooth boundary. An example of a saturating set is given in the case the spatial domain is the unit disk.
Cite
@article{arxiv.2408.15164,
title = {Approximate controllability for 2D Euler equations},
author = {Sérgio S. Rodrigues},
journal= {arXiv preprint arXiv:2408.15164},
year = {2025}
}
Comments
This version v2 includes an example of a saturating set