Marvin Shinbrot

Lectures on Fluid Mechanics (eBook, ePUB)

• Format: ePub

Produktbeschreibung

A 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.

Produktdetails

• Verlag: Dover Publications
• Erscheinungstermin: 13. Mai 2013
• Englisch
• ISBN-13: 9780486267968
• Artikelnr.: 39550111

Autorenporträt

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