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

Coron, J.-M.

J. Math. Pures Appl. (9) 75, No. 2, 155-188 (1996).

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

Keywords:

distributed controllability; Euler equations; boundary controllability