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Main Title: Regularity of the adjoint state for the instationary Navier-Stokes equations
Author(s): Rösch, Arnd
Wachsmuth, Daniel
Type: Research Paper
Abstract: In this article, we are considering imbeddings of abstract functions in spaces of functions being continuous in time. A family of functions depending on certain parameters is discussed in detail. In particular, this example shows that such functions do not belong to the space $C([0,T],H)$. In the second part, we investigate an optimal control problem for the instationary Navier-Stokes equation. We will answer the question, in which sense the initial value problem for the adjoint equation can be solved.
Subject(s): vector-valued functions
optimal control
Navier-Stokes equations
regularity of adjoints
Issue Date: 14-Apr-2004
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 46E40 Spaces of vector- and operator-valued functions
49N60 Regularity of solutions
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2004, 10
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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