direkt zum Inhalt springen

direkt zum Hauptnavigationsmenü

Sie sind hier

TU Berlin

Inhalt des Dokuments

Preprint 03-2004

Regularity and Stability of optimal controls of instationary Navier-Stokes equations

Source file is available as :   Portable Document Format (PDF)

Author(s) : Daniel Wachsmuth

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 03-2004

MSC 2000

49N60 Regularity of solutions
49K40 Sensitivity, stability, well-posedness

Abstract :
The regularity and stability of optimal controls of instationary Navier-Stokes equations is 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.

Keywords : Optimal control, Navier-Stokes equations, control constraints, Lipschitz stability

Zusatzinformationen / Extras


Schnellnavigation zur Seite über Nummerneingabe