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OverviewA readable and user-friendly introduction to fluid mechanics, this high-level text is geared toward advanced undergraduates and graduate students. Mathematicians, physicists, and engineers will also benefit from this lucid treatment.The book begins with a derivation of the equations of fluid motion from statistical mechanics, followed by examinations of the classical theory and a portion of the modern mathematical theory of viscous, incompressible fluids. A considerable part of the final chapters is devoted to the Navier-Stokes equations. The text assumes a familiarity with functional analysis and some complex variables, and it includes an especially valuable discussion of the modern function theoretic approach to solving partial differential equations. Numerous exercises appear throughout the text. Full Product DetailsAuthor: Marvin Shinbrot , PhysicsPublisher: Dover Publications Inc. Imprint: Dover Publications Inc. Dimensions: Width: 15.50cm , Height: 1.20cm , Length: 23.50cm Weight: 0.315kg ISBN: 9780486488172ISBN 10: 0486488179 Pages: 240 Publication Date: 01 July 2012 Audience: General/trade , Professional and scholarly , General , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print ![]() This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsPreface Part I Setting the Scene Introduction 1. The Equations of Motion 2. Potential Flow 3. Some Properties of Potential Flows 4. Potential Flows in Two Dimensions 5. d'Alembert's Paradox and Early Attempts at itsRresolution 6. Flows with Circulation 7. Viscous Fluids 8. Examples of Viscous Fluid Flow 9. Various Approximations Part II A Taste of the Modern Theory Introduction 10. Preliminaries 11. The Weak Solution 12. Uniqueness of Weak Solution 13. Strong Solutions 14. A Reproductive Property of the Navier-Stokes Equations IndexReviewsAuthor InformationMarvin Shinbrot (1928-1987) was a Professor of Mathematics and Engineering Sciences at Northwestern University and later a Professor of Mathematics at the University of Victoria in British Columbia, Canada. Tab Content 6Author Website:Countries AvailableAll regions |