Euler equations are not exactly controllable by a finite-dimensional external force
Analysis of PDEs
2009-11-13 v1 Optimization and Control
Abstract
We show that the Euler system is not exactly controllable by a finite-dimensional external force. The proof is based on the comparison of the Kolmogorov epsilon-entropy for Holder spaces and for the class of functions that can be obtained by solving the 2D Euler equations with various right-hand sides.
Cite
@article{arxiv.0708.0520,
title = {Euler equations are not exactly controllable by a finite-dimensional external force},
author = {Armen Shirikyan},
journal= {arXiv preprint arXiv:0708.0520},
year = {2009}
}
Comments
12 pages