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Texts in Applied Mathematics

Waves and Compressible Flow

Authors: Ockendon, Hilary, Ockendon, John R.

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  • New edition contains two new areas of wave propagation: Elastoplasticity and Waves in Plasmas
  • Exercises included at the end of every chapter, including new exercises to accompany the new material
  • Special emphasis is placed on the development of physical intuition to supplement and reinforce analytical thinking
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eBook $59.99
price for USA in USD (gross)
  • ISBN 978-1-4939-3381-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $74.99
price for USA in USD
  • ISBN 978-1-4939-3379-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $74.99
price for USA in USD
  • ISBN 978-1-4939-8036-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

Now in its second edition, this book continues to give readers a broad mathematical basis for modelling and understanding the wide range of wave phenomena encountered in modern applications.  New and expanded material includes topics such as elastoplastic waves and waves in plasmas, as well as new exercises.  Comprehensive collections of models are used to illustrate the underpinning mathematical methodologies, which include the basic ideas of the relevant partial 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 intimately gasdynamic waves are related to wave phenomena in many other areas of physical science.

 

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. 

 

Reviews of the first edition:

"This book … is an introduction to the theory of linear and nonlinear waves in fluids, including the theory of shock waves. … is extraordinarily accurate and free of misprints … . I enjoyed reading this book. … most attractive and enticing appearance, and I’m certain that many readers who browse through it will wish to buy a copy. The exercises … are excellent. … A beginner who worked through these exercises would not only enjoy himself or herself, but would rapidly acquire mastery of techniques used…in JFM and many other journals…" (C. J. Chapman, Journal of Fluid Mechanics, Vol. 521, 2004)

"The book targets a readership of final year undergraduates and first year graduates in applied mathematics. In the reviewer’s opinion, it is very well designed to catch the student’s interest … while every chapter displays essential features in some important area of fluid dynamics. Additionally, students may practice by solving 91 exercises. This volume is mainly devoted to inviscid flows. … The book is very well written." (Denis Serre, Mathematical Reviews, 2004) 

About the authors

Hilary Ockendon is an Emeritus member of the Oxford Centre for Industrial and Applied Mathematics.  Her research interests are in fluid dynamics and industrial mathematics, including nonlinear wave propagation in gasses.
John Ockendon is an Emeritus Professor at the University of Oxford.  His research interests include differential equations, mathematical modeling, and industrial applications. 

Reviews

“The book aims to present a consistent theory of waves originating in hydrodynamics of incompressible and compressible fluids … . The book includes many exercises. Solving specially marked key exercises is assumed to be an essential part of the reading.” (Boris A. Malomed, zbMATH 1339.76001, 2016)


Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-1-4939-3381-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $74.99
price for USA in USD
  • ISBN 978-1-4939-3379-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $74.99
price for USA in USD
  • ISBN 978-1-4939-8036-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Waves and Compressible Flow
Authors
Series Title
Texts in Applied Mathematics
Series Volume
47
Copyright
2016
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4939-3381-5
DOI
10.1007/978-1-4939-3381-5
Hardcover ISBN
978-1-4939-3379-2
Softcover ISBN
978-1-4939-8036-9
Series ISSN
0939-2475
Edition Number
2
Number of Pages
VII, 243
Number of Illustrations
60 b/w illustrations
Topics