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

Glass, Olivier

C. R. Acad. Sci., Paris, Sér. I, Math. 325, No. 9, 987-992 (1997).

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

Keywords:

return method; linearization; simply connected bounded open set