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The goal of this text is not to provide an exhaustive account of fluid mechanics. The goals are: to present some of the basic ideas of fluid mechanics in a mathematically attractive manner; to present the physical background and motivation of 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 and has been retypeset, but the spirit and scope of the original book are unaltered.
List of contents
From the contents: Preface
- The Equations of Motion: Euler's Equations. Rotation and Vorticity. The Navier-Stokes Equations
- Potential Flow and Slightly Viscous Flow: Potential Flow. Boundary Layers. Vortex Sheets. Remarks on Stability and Bifurcation
- Gas Flow in One Dimension: Characteristics. Shocks. The Riemann Problem. Combustion Waves
About the author
Alexandre J. Chorin is a professor of mathematics at the University of California, Berkeley who works in applied mathematics. He is known for his contributions to the field of Computational fluid dynamics. Ole Hald is a professor of mathematics at the University of California, Berkeley.
