Controllability of 3D incompressible Euler equations by a finite-dimensional external force

Details Controllability of 3D incompressible Euler equations by a finite-dimensional external force Controllability of 3D incompressible Euler equations by a finite-dimensional external force

2008-10-18

arxiv.org/abs/0810.3297v1

Physics

Mathematical Physics

Scientific paper

In this paper, we study the control system associated with the incompressible 3D Euler system. We show that the velocity field and pressure of the fluid are exactly controllable in projections by the same finite-dimensional control. Moreover, the velocity is approximately controllable. We also prove that 3D Euler system is not exactly controllable by a finite-dimensional external force.

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