Readable and user-friendly, this high-level introduction explores the derivation of the equations of fluid motion from statistical mechanics, classical theory, and a portion of the modern mathematical theory of viscous, incompressible fluids. 1973 edition.
Readable and user-friendly, this high-level introduction explores the derivation of the equations of fluid motion from statistical mechanics, classical theory, and a portion of the modern mathematical theory of viscous, incompressible fluids. 1973 edition.
Marvin 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.
Inhaltsangabe
Preface 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 Index
Preface 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 Index
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