- 07-189 Armen Shirikyan
- Euler equations are not exactly controllable by a finite-dimensional external force
Aug 3, 07
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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 H older spaces and for the class of functions that can be obtained by solving the 2D Euler equations with various right-hand sides.