Logo - springer
Slogan - springer

Springer Spektrum - Mathematik - Analysis | Lp-Theory for Incompressible Newtonian Flows - Energy Preserving Boundary Conditions, Weakly Singular

Lp-Theory for Incompressible Newtonian Flows

Energy Preserving Boundary Conditions, Weakly Singular Domains

Köhne, Matthias

2013, XI, 183 p. 2 illus.

Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$69.95

(net) price for USA

ISBN 978-3-658-01052-2

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase


learn more about Springer eBooks

add to marked items

Softcover
Information

Softcover (also known as softback) version.

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$89.95

(net) price for USA

ISBN 978-3-658-01051-5

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

  • Publication in the field of technical sciences​

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.

Contents

·         Navier-Stokes Equations

·         Energy Preserving Boundary Condition

·         Weakly Singular Domain

·         Maximal Lp-Regularity

Target Groups

·         Scientists, lecturers and graduate students in the fields of mathematical fluid dynamics and partial differential equations as well as experts in applied analysis.

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''.

Content Level » Research

Keywords » Energy Preserving Boundary Condition - Mathematical Fluid Dynamics - Maximal Lp-Regularity - Navier-Stokes Equations - Weakly Singular Domain

Related subjects » Analysis

Table of contents / Sample pages 

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Integral Equations.