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Main Title: Lipschitz stability of optimal controls for the steady-state Navier-Stokes equations
Author(s): Roubíček, Tomaš
Tröltzsch, Fredi
Type: Research Paper
Abstract: 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.
Subject(s): incompressible viscous fluids
flow control
first- and second-order optimality conditions
Lipschitz stability
Issue Date: 31-Aug-2002
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 49J20 Optimal control problems involving partial differential equations
49K20 Problems involving partial differential equations
49K40 Sensitivity, stability, well-posedness
35Q30 Stokes and Navier-Stokes equations
76D55 Flow control and optimization
90C31 Sensitivity, stability, parametric optimization
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2002, 749
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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