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Exact boundary controllability of 3-D Euler equation of perfect incompressible fluids. (Contrôlabilité exacte frontière de l’équation d’Euler des fluides parfaits incompressibles en dimension 3.) (French. Abridged English version) Zbl 0897.76014

Summary: We prove the exact boundary controllability of three-dimensional Euler equations of incompressible perfect fluids, on a simply connected bounded open set, when the control operates on an open part of the boundary, which meets any of its connected components.

MSC:

76B47 Vortex flows for incompressible inviscid fluids
49J20 Existence theories for optimal control problems involving partial differential equations
93C20 Control/observation systems governed by partial differential equations
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