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arXiv · 0708.0520

Euler equations are not exactly controllable by a finite-dimensional external force

Armen Shirikyan
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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.

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Armen Shirikyan. 2007-08-03. Euler equations are not exactly controllable by a finite-dimensional external force. https://doi.org/10.1016/j.physd.2008.03.021

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