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3d incompressible euler equations

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Controllability of 3D incompressible Euler equationsby a finite-dimensional externalforce
Hayk Nersisyan
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 16 / Issue 3 / July 2010

Published online by Cambridge University Press:

02 July 2009, pp. 677-694

Print publication:

July 2010
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In this paper, we study thecontrol system associated with the incompressible 3D Euler system.We show that the velocity field and pressure of the fluid areexactly controllable in projections by the same finite-dimensionalcontrol. Moreover, the velocity is approximately controllable. We also prove that 3D Eulersystem is not exactly controllable by a finite-dimensionalexternal force.