Lipschitz stability of optimal controls for the steady-state Navier-Stokes equations

• Autorzy: Roubicek T. , Troltzsch F.
• Języki publikacji: EN

Abstrakty

EN

An optimal control problem with quadratic cost functional for the steady-state Navier-Stokes equations with no-slip boundary condition is considered. Lipschitz stability of locally optimal controls with respect to certain perturbations of both the cost functional and the equation is proved provided a second-order sufficient optimality condition holds. For a sufficiently small Reynolds number, even global Lipschitz stability of the unique optimal control is shown.

Słowa kluczowe

EN

incompressible viscous fluids; flow control; first and second order optimality conditions; Lipschitz stability

PL

sterowanie strumieniem danych; stabilność Lipschitza

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2003
• Tom: Vol. 32, no 3
• Strony: 683--705
• Opis fizyczny: Bibliogr. 31 poz.

Twórcy

autor

Roubicek T.

• Mathematical Institute, Charles University, Sokolovsk´a 83 CZ-186 75 Praha 8, Czech Republic

autor

Troltzsch F.

• Institut fur Mathematik, Technische Universitat Berlin D-10623 Berlin, Germany

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