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Main Title: Analysis of operator differential-algebraic equations arising in fluid dynamics. Part I. The finite dimensional case
Author(s): Emmrich, Etienne
Mehrmann, Volker
Type: Research Paper
Abstract: Existence and uniqueness of solutions to initial value problems for a class of abstract differential-algebraic equations (DAEs) is shown. The class of equations cover, in particular, the spatially semi-discretized Stokes and Oseen problem describing the motion of an incompressible or nearly incompressible Newtonian fluid. Moreover, we derive explicit solution formulas.
Subject(s): differential-algebraic equation
Duhamel's principle
Stokes equation
Oseen equation
Issue Date: 1-Jun-2010
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 34A09 Implicit equations, differential-algebraic equations
34G10 Linear equations
76D07 Stokes and related (Oseen, etc.) flows
34H05 Control problems
65M99 None of the above, but in this section
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2010, 12
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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