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Main Title: Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations
Author(s): Tröltzsch, Fredi
Wachsmuth, Daniel
Type: Research Paper
Abstract: In this paper sufficient optimality conditions are established for optimal control of both steady-state and evolution Navier-Stokes equations. The second-order condition requires coercivity of the Lagrange function on a suitable subspace together with first-order necessary conditions. It ensures local optimality of a reference function in a $L^s$-neighborhood, whereby the underlying analysis allows to use weaker norms than $L^\infty$.
Subject(s): optimal control
Navier-Stokes equations
control constraints
second-order optimality conditions
first-order necessary conditions
Issue Date: 18-Sep-2003
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 49K20 Problems involving partial differential equations
49K27 Problems in abstract spaces
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2003, 30
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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