A Mathematical Introduction to Fluid Mechanics

Alexandre J. Chorin, Jerrold E. Marsden9780387979182, 0-387-97918-2

The goal of this text is to present some of the basic ideas of fluid mechanics in a mathematically attractive manner, to present the physical background and motivation for some constructions that have been used in recent mathematical and numerical work on the Navier-Stokes equations and on hyperbolic systems and to interest some of the students in this beautiful and difficult subject. The third edition has incorporated a number of updates and revisions, but the spirit and scope of the original book are unaltered.

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Table of contents :
Texts in Applied Mathematics – Series ……Page 1
Title ……Page 3
Date-line ……Page 4
Series Preface ……Page 5
Preface ……Page 7
Contents ……Page 9
1.1 Euler’s Equations ……Page 11
1.2 Rotation and Vorticity ……Page 28
1.3 The Navier-Stokes Equations ……Page 41
2.1 Potential Flow ……Page 57
2.2 Boundary Layers ……Page 77
2.3 Vortex Sheets ……Page 92
2.4 Remarks on Stability and Bifurcation ……Page 106
3.1 Characteristics ……Page 113
3.2 Shocks ……Page 127
3.3 The Riemann Problem ……Page 147
3.4 Combustion Waves ……Page 155
Index ……Page 173