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On the null asymptotic stabilization of the two-dimensional incompressible Euler equations in a simply connected domain. (English) Zbl 0954.76010

The author studies the asymptotic stabilization of the origin for the two-dimensional Euler equation of incompressible inviscid fluid in a bounded domain. It is assumed that the controls act on a small open subset of the boundary. The author gives explicit feedback laws which globally asymptotically stabilize the origin, and proves the null global asymptotic stabilizability.

MSC:

76B75 Flow control and optimization for incompressible inviscid fluids
93C20 Control/observation systems governed by partial differential equations
93B52 Feedback control
93D15 Stabilization of systems by feedback
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