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Main Title: Regularity and Stability of optimal controls of instationary Navier-Stokes equations
Author(s): Wachsmuth, Daniel
Type: Research Paper
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.
Subject(s): optimal control
Navier-Stokes equations
control constraints
Lipschitz stability
Issue Date: 14-Jan-2004
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 49N60 Regularity of solutions
49K40 Sensitivity, stability, well-posedness
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2004, 03
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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