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Main Title: Optimal control of planar flow of incompressible non-Newtonian fluids
Author(s): Wachsmuth, Daniel
Roubíček, Tomá s
Type: Research Paper
Abstract: We consider an optimal control problem for the evolutionary flow of incompressible non-Newtonian fluids in a two-dimensional domain. The existence of optimal controls is proven. Furthermore, we investigate first-order necessary as well as second-order sufficient optimality conditions. The analysis relies on new results providing solutions with bounded gradients for the flow equations.
Subject(s): optimal control
non-Newtonian fluids
necessary optimality conditions
sufficient optimality conditions
Issue Date: 27-Feb-2008
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 76D55 Flow control and optimization
49K20 Problems involving partial differential equations
76A05 Non-Newtonian fluids
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2008, 11
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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