Regularity and stability of optimal controls of nonstationary Navier-Stokes equations

• Autorzy: Wachsmuth D.
• Języki publikacji: EN

Abstrakty

EN

The regularity and stability of optimal controls of nonstationary Navier-Stokes equations are investigated. Under suitable assumptions every control satisfying first-order necessary conditions is shown to be a continuous function in both space and time. Moreover, the behaviour of a locally optimal control under certain perturbations of the cost functional and the state equation is investigated. Lipschitz stability is proven provided a second-order sufficient optimality condition holds.

Słowa kluczowe

EN

optimal control; Navier-Stokes equations; control constraints; Lipschitz stability

PL

sterowanie optymalne; równanie Naviera-Stokesa; stabilność Lipschitza

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2005
• Tom: Vol. 34, no 2
• Strony: 387--409
• Opis fizyczny: Bibliogr. 31 poz.

Twórcy

autor

Wachsmuth D.

• Institut fur Mathematik Technische Universitat Berlin Str. des 17. Juni 136, D-10623 Berlin, Germany

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