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Prescribing the motion of a set of particles in a 3D perfect fluid

We establish a result concerning the so-called Lagrangian controllability of the Euler equation for incompressible perfect fluids in dimension 3. More precisely we consider a connected bounded domain of R^3 and two smooth contractible sets of fluid particles, surrounding the same volume. We prove that given any initial velocity field, one can find a boundary control and a time interval such that the corresponding solution of the Euler equation makes the first of the two sets approximately reach the second one.

preprint2011arXivOpen access
Olivier GlassThierry Horsin
Systems and Controlmath.APmath.OC
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Olivier GlassThierry Horsin

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