Compressible Navier-Stokes Equations

Theory and Shape Optimization

  • Pavel Plotnikov
  • Jan Sokołowski
Part of the Monografie Matematyczne book series (MONOGRAFIE, volume 73)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Pavel Plotnikov, Jan Sokołowski
    Pages 1-44
  3. Pavel Plotnikov, Jan Sokołowski
    Pages 45-55
  4. Pavel Plotnikov, Jan Sokołowski
    Pages 57-61
  5. Pavel Plotnikov, Jan Sokołowski
    Pages 63-97
  6. Pavel Plotnikov, Jan Sokołowski
    Pages 99-166
  7. Pavel Plotnikov, Jan Sokołowski
    Pages 167-173
  8. Pavel Plotnikov, Jan Sokołowski
    Pages 175-224
  9. Pavel Plotnikov, Jan Sokołowski
    Pages 225-248
  10. Pavel Plotnikov, Jan Sokołowski
    Pages 249-280
  11. Pavel Plotnikov, Jan Sokołowski
    Pages 299-376
  12. Pavel Plotnikov, Jan Sokołowski
    Pages 377-406
  13. Pavel Plotnikov, Jan Sokołowski
    Pages 407-440
  14. Back Matter
    Pages 441-457

About this book

Introduction

The book presents the modern state of the art in the mathematical theory of compressible Navier-Stokes equations, with particular emphasis on applications to aerodynamics. The topics covered include: modeling of compressible viscous flows; modern mathematical theory of nonhomogeneous boundary value problems for viscous gas dynamics equations; applications to optimal shape design in aerodynamics; kinetic theory for equations with oscillating data; new approach to the boundary value problems for transport equations.

The monograph offers a comprehensive and self-contained introduction to recent mathematical tools designed to handle the problems arising in the theory.

Keywords

computational methods fluid dynamics modeling

Authors and affiliations

  • Pavel Plotnikov
    • 1
  • Jan Sokołowski
    • 2
  1. 1., Siberian Branch of RASLavrentyev Institute of HydrodynamicsNovosibirskRussia
  2. 2., Institut Elie CartanUniversité Henri Poincaré Nancy 1Vandœuvre-Lès-NancyFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-0367-0
  • Copyright Information Springer Basel 2012
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-0348-0366-3
  • Online ISBN 978-3-0348-0367-0