A Mathematical Introduction To Fluid Mechanics
A presentation of some of the basic ideas of fluid mechanics in a mathematically attractive manner. The text illustrates the physical background and motivation for some constructions used in recent mathematical and numerical work on the Navier- Stokes equations and on hyperbolic systems, so as to interest students in this at once beautiful and difficult subject. This third edition incorporates a number of updates and revisions, while retaining the spirit and scope of the original book.
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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. Booknews A textbook for a one-term upper level or graduate course, presenting the basic ideas of fluid mechanics in a mathematically attractive, rather than fully rigorous, manner, and explaining some of the physics behind the constructions. A primary goal is to inspire, as well as to prepare, students for further study. Updated and revised from the 1990 edition; first published in 1979. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Preface1The Equations of Motion11.1Euler's Equations11.2Rotation and Vorticity171.3The Navier-Stokes Equations312Potential Flow and Slightly Viscous Flow472.1Potential Flow472.2Boundary Layers682.3Vortex Sheets842.4Some Remarks on Stability and Bifurcation983Gas Flow in One Dimension1053.1Characteristics1053.2Shocks1193.3The Riemann Problem1383.4Combustion Waves148Index165
\ BooknewsA textbook for a one-term upper level or graduate course, presenting the basic ideas of fluid mechanics in a mathematically attractive, rather than fully rigorous, manner, and explaining some of the physics behind the constructions. A primary goal is to inspire, as well as to prepare, students for further study. Updated and revised from the 1990 edition; first published in 1979. Annotation c. Book News, Inc., Portland, OR (booknews.com)\ \
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