Article ID Journal Published Year Pages File Type
1897858 Physica D: Nonlinear Phenomena 2008 7 Pages PDF
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 εε-entropy for Hölder spaces and for the class of functions that can be obtained by solving the two-dimensional Euler equations with various right-hand sides.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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