Texts in Applied Mathematics

A Mathematical Introduction to Fluid Mechanics

Authors: Chorin, Alexandre J., Marsden, J.E.

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  • ISBN 978-1-4684-0364-0
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About this Textbook

Mathematical Introduction to Fluid Mechanics presents some selected highlights of currently interesting topics in fluid mechanics in a compact form, as well as providing a concise and appealing exposition of the basic theory of fluid mechanics. The first chapter contains an elementary derivation of the equations, and the concept of vorticity is introduced. The second chapter contains a discussion of potential flow, vortex motion, and boundary layers. A construction of boundary layers using vortex sheets and random walks is presented. Chapter 3 contains an analysis of one-dimensional gas flow from a mildly modern point of view. Weak solution, Riemann problems, Glimm's scheme, and combustion waves are covered.

Reviews

 From the reviews:

"… The book contains some of the basic ideas of fluid mechanics in a mathematically attractive manner...has the very advantage of providing the solution of the differential equations using the new and modern techniques...the material is very well presented both the mathematical arguments as well as the physical input." Physicalia


Table of contents (3 chapters)

  • The Equations of Motion

    Chorin, A. J. (et al.)

    Pages 1-46

  • Potential Flow and Slightly Viscous Flow

    Chorin, A. J. (et al.)

    Pages 47-103

  • Gas Flow in One Dimension

    Chorin, A. J. (et al.)

    Pages 104-164

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-1-4684-0364-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
A Mathematical Introduction to Fluid Mechanics
Authors
Series Title
Texts in Applied Mathematics
Series Volume
4
Copyright
1990
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York Inc.
eBook ISBN
978-1-4684-0364-0
DOI
10.1007/978-1-4684-0364-0
Series ISSN
0939-2475
Edition Number
2
Number of Pages
IX, 168
Additional Information
Originally published in the series: Universitext
Topics