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On the controllability of 2-D incompressible perfect fluids. (English) Zbl 0848.76013

Summary: We prove approximate boundary and distributed controllability of the Euler equations of incompressible perfect fluids in dimension 2. We prove exact boundary controllability if the support of the controls intersects any connected component of the boundary of the domain.

MSC:

93B05 Controllability
35Q35 PDEs in connection with fluid mechanics
76B75 Flow control and optimization for incompressible inviscid fluids
49J20 Existence theories for optimal control problems involving partial differential equations
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