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Waves and Compressible Flow

  • Hilary Ockendon
  • John R. Ockendon

Part of the Texts in Applied Mathematics book series (TAM, volume 47)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Pages 1-4
  3. Pages 135-180
  4. Pages 181-182
  5. Back Matter
    Pages 183-188

About this book

Introduction

 

This book aims to give readers a broad mathematical basis for modeling and understanding the wide range of wave phenomena encountered in modern applications, especially in gasdynamics. The material originated from a coarse that has been taught at Oxford University for many years. It is a development of  Inviscid Fluid Flows, by H. Ockendon and A. B. Tayler (Springer, 1983), which has been retitled and completely rewritten to reflect current research interests. In particular, a more comprehensive collection of models is used to illustrate the underpinning mathematical methodologies. These methodologies have been expanded to include the basic ideas of hyperbolic differential equations, characteristics, ray theory, asymptotic analysis, dispersion, shock waves, and weak solutions. Although the main focus is on compressible fluid flow, the authors show how wave phenomena in other areas such as electromagnetism and solid mechanics can be treated using similar techniques.

Special emphasis is placed on the development of physical intuition to supplement and reinforce analytical thinking. Each chapter includes a complete set of carefully prepared exercises, making this a suitable textbook for students in applied mathematics, engineering, and other physical sciences. 

Keywords

Mathematica applied mathematics computer dynamical systems fluid mechanics modeling shock wave wave waves

Authors and affiliations

  • Hilary Ockendon
    • 1
  • John R. Ockendon
    • 1
  1. 1.Oxford Centre for Industrial and Applied MathematicsOxfordUK

Bibliographic information

  • DOI https://doi.org/10.1007/b97537
  • Copyright Information Springer-Verlag New York, Inc. 2004
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-40399-1
  • Online ISBN 978-0-387-21802-1
  • Series Print ISSN 0939-2475
  • Buy this book on publisher's site