A Mathematical Introduction to Fluid Mechanics

  • A. J. Chorin
  • J. E. Marsden

Part of the Texts in Applied Mathematics book series (TAM, volume 4)

Table of contents

  1. Front Matter
    Pages i-ix
  2. A. J. Chorin, J. E. Marsden
    Pages 1-46
  3. A. J. Chorin, J. E. Marsden
    Pages 47-103
  4. A. J. Chorin, J. E. Marsden
    Pages 104-164
  5. Back Matter
    Pages 165-168

About this book

Introduction

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.

Keywords

Identity dynamics equation fluid mechanics waves

Authors and affiliations

  • A. J. Chorin
    • 1
  • J. E. Marsden
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4684-0364-0
  • Copyright Information Springer-Verlag New York 1990
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4684-0366-4
  • Online ISBN 978-1-4684-0364-0
  • Series Print ISSN 0939-2475
  • About this book