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Table of contents (8 chapters)
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Front Matter
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The Model
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Front Matter
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Bounded Weakly Singular Domains
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Front Matter
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Back Matter
About this book
This thesis is devoted to the study of the basic equations of fluid dynamics. First Matthias Köhne focuses on the derivation of a class of boundary conditions, which is based on energy estimates, and, thus, leads to physically relevant conditions. The derived class thereby contains many prominent artificial boundary conditions, which have proved to be suitable for direct numerical simulations involving artificial boundaries. The second part is devoted to the development of a complete Lp-theory for the resulting initial boundary value problems in bounded smooth domains, i.e. the Navier-Stokes equations complemented by one of the derived energy preserving boundary conditions. Finally, the third part of this thesis focuses on the corresponding theory for bounded, non-smooth domains, where the boundary of the domain is allowed to contain a finite number of edges, provided the smooth components of the boundary that meet at such an edge are locally orthogonal.
Authors and Affiliations
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Technische Universität Darmstadt, Darmstadt, Germany
Matthias Köhne
About the author
Matthias Köhne earned a doctorate of Mathematics under the supervision of Prof. Dr. Dieter Bothe at the Department of Mathematics at TU Darmstadt, where his research was supported by the cluster of excellence ''Center of Smart Interfaces'' and the international research training group ''Mathematical Fluid Dynamics''.
Bibliographic Information
Book Title: Lp-Theory for Incompressible Newtonian Flows
Book Subtitle: Energy Preserving Boundary Conditions, Weakly Singular Domains
Authors: Matthias Köhne
DOI: https://doi.org/10.1007/978-3-658-01052-2
Publisher: Springer Spektrum Wiesbaden
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Fachmedien Wiesbaden 2013
Softcover ISBN: 978-3-658-01051-5Published: 06 December 2012
eBook ISBN: 978-3-658-01052-2Published: 06 December 2012
Edition Number: 1
Number of Pages: XI, 183
Number of Illustrations: 2 b/w illustrations
Topics: Integral Equations