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The Navier-Stokes Equations
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The Navier-Stokes equations were firmly established in the 19th Century as the system of nonlinear partial differential equations which describe the motion of most commonly occurring fluids in air and water, and since that time exact solutions have been sought by scientists. Collectively these solutions allow a clear insight into the behavior of fluids, providing a vehicle for novel mathematical methods and a useful check for computations in fluid dynamics, a field in which theoretical research is now dominated by computational methods. This 2006 book draws together exact solutions from widely differing sources and presents them in a coherent manner, in part by classifying solutions via their temporal and geometric constraints. It will prove to be a valuable resource to all who have an interest in the subject of fluid mechanics, and in particular to those who are learning or teaching the subject at the senior undergraduate and graduate levels.
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Table of Contents

Preface; 1. Scope of the book; 2. Steady flows bounded by plane boundaries; 3. Steady axisymmetric and related flows; 4. Unsteady flows bounded by plane boundaries; 5. Unsteady axisymmetric and related flows.

About the Author

Norman Riley is an Emeritus Professor of Applied Mathematics at the University of East Anglia. Philip Drazin was a Professor of Mathematics at the University of Bristol.

Reviews

"Perhaps our children will one day remark on the group symmetries in their favorite music in the way that we now simply note a beautiful tune. They, no less than we, will have much to learn from this delightful book, which sets a new standard of excellence and inclusiveness. Anyone who knows some college-level mathematics and is curious about how it can illuminate music will be richly rewarded by reading Benson's outstanding book." Peter Pesic, Tutor and Musician-in-Residence at St. John's College, Santa Fe

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