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.
Reviewer: P.B.Dubovskiĭ (Moskva)
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 |