Lp-Theory for Incompressible Newtonian Flows

Energy Preserving Boundary Conditions, Weakly Singular Domains

Authors: Köhne, Matthias

  • Publication in the field of technical sciences​

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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.

About the authors

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''.

Table of contents (8 chapters)

  • The Navier-Stokes Equations

    Köhne, Matthias

    Pages 11-19

  • Energy Preserving Boundary Conditions

    Köhne, Matthias

    Pages 21-32

  • L p -Theory for Incompressible Newtonian Flows

    Köhne, Matthias

    Pages 35-65

  • Tools and Methods

    Köhne, Matthias

    Pages 67-100

  • Maximal L p -Regularity in a Halfspace

    Köhne, Matthias

    Pages 101-114

Buy this book

eBook $84.99
price for USA (gross)
  • ISBN 978-3-658-01052-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $109.00
price for USA
  • ISBN 978-3-658-01051-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Lp-Theory for Incompressible Newtonian Flows
Book Subtitle
Energy Preserving Boundary Conditions, Weakly Singular Domains
Authors
Copyright
2013
Publisher
Springer Spektrum
Copyright Holder
Springer Fachmedien Wiesbaden
eBook ISBN
978-3-658-01052-2
DOI
10.1007/978-3-658-01052-2
Softcover ISBN
978-3-658-01051-5
Edition Number
1
Number of Pages
XI, 183
Number of Illustrations and Tables
2 b/w illustrations
Topics