Overview

From the reviews: ""Researchers in fluid dynamics and applied mathematics will enjoy this book for its breadth of coverage, hands-on treatment of important ideas, many references, and historical and philosophical remarks."" Mathematical Reviews

Full Product Details

Author:   Radyadour K. Zeytounian
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 2002
Dimensions:   Width: 15.50cm , Height: 1.60cm , Length: 23.50cm
Weight:   0.474kg
ISBN:  

9783642625510

ISBN 10:   3642625517
Pages:   295
Publication Date:   05 November 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of Contents

1. Fluid Dynamic Limits of the Boltzmann Equation.- 1.1 The Boltzmann Equation.- 1.2 The Fluid Dynamic Limits.- 1.3 Comments.- 2. From Classical Continuum Theory to Euler Equations via N–S–F Equations.- 2.1 Newtonian Fluids.- 2.2 Partial Differential Equations for the Motion of Any Continuum.- 2.3 N–S–F Equations.- 2.4 Dimensionless N–S–F Equations.- 3. Short Presentation of Asymptotic Methods and Modelling.- 3.1 Method of Strained Coordinates.- 3.2 Method of Matched Asymptotic Expansions.- 3.3 Multiple Scale Method.- 3.4 Flow with Variable Viscosity: An Asymptotic Model.- 3.5 Low Mach Number Flows: Weakly Nonlinear Acoustic Waves.- 4. Various Forms of Euler Equations and Some Hydro-Aerodynamics Problems.- 4.1 Barotropic Inviscid Fluid Flow.- 4.2 Bernoulli Equation and Potential Flows.- 4.3 D’Alembert Paradox and Kutta–Joukowski–Villat Condition.- 4.4 Potential Flows and Water Waves.- 4.5 Compressible Eulerian Baroclinic Fluid Flow.- 4.6 Isochoric Fluid Flows.- 4.7 Isentropic Fluid Flow and the Steichen Equation.- 4.8 Steady Euler Equations and Stream Functions.- 5. Atmospheric Flow Equations and Lee Waves.- 5.1 Euler Equations for Atmospheric Motions.- 5.2 The Meteorological “Primitive” Kibel Equations.- 5.3 The Boussinesq Inviscid Equations.- 5.4 Isochoric Lee Waves.- 5.5 Boussinesq Lee Waves.- 6. Low Mach Number Flow and Acoustics Equations.- 6.1 Euler Incompressible Limit Equations.- 6.2 Equations of Acoustics.- 7. Turbo-Machinery Fluid Flow.- 7.1 Various Facets of an Asymptotic Theory.- 7.2 Through-Flow Model.- 7.3 Flow Analysis at the Leading/Trailing Edges of a Row.- 7.4 Complementary Remarks.- 8. Vortex Sheets and Shock Layer Phenomena.- 8.1 The Concept of Discontinuity.- 8.2 Jump Relations Associated with a Conservation Law.- 8.3 TheStructure of the Shock Layer.- 8.4 Some Properties of the Vortex Sheet.- 9. Rigorous Mathematical Results.- 9.1 Well-Posedness of Eulerian Fluid Flows.- 9.2 Existence, Regularity, and Uniqueness Results.- References.

Reviews

From the reviews of the first edition: Researchers in fluid dynamics and applied mathematics will enjoy this book for its breadth of coverage, hands-on treatment of important ideas, many references, and historical and philosophical remarks. (MATHEMATICAL REVIEWS, 2003g) [...] presents a broad panorama of model problems encountered in nonviscous Newtonian fluid flows. (International Aerospace Abstracts 42/3, 2002) This well-organized book can be recommended to students, teachers and researchers with an interest in asymptotic methods and rigorous foundations of nonviscous fluid mechanics. (Zentralblatt MATH, 992/17, 2002) This book touches on a number of topics in fluid mechanics at an advanced level. ... I believe the book could be a welcome addition to the bookshelf of anyone working in theoretical fluid mechanics. It would also be a valuable supplemental text for a post-master course in fluid mechanics. (Anthony Leonard, Journal of Fluid Mechanics, Vol. 517, 2004)

From the reviews of the first edition: ""Researchers in fluid dynamics and applied mathematics will enjoy this book for its breadth of coverage, hands-on treatment of important ideas, many references, and historical and philosophical remarks."" (MATHEMATICAL REVIEWS, 2003g) ""[...] presents a broad panorama of model problems encountered in nonviscous Newtonian fluid flows."" (International Aerospace Abstracts 42/3, 2002) ""This well-organized book can be recommended to students, teachers and researchers with an interest in asymptotic methods and rigorous foundations of nonviscous fluid mechanics."" (Zentralblatt MATH, 992/17, 2002) ""This book touches on a number of topics in fluid mechanics at an advanced level. … I believe the book could be a welcome addition to the bookshelf of anyone working in theoretical fluid mechanics. It would also be a valuable supplemental text for a post-master course in fluid mechanics."" (Anthony Leonard, Journal of Fluid Mechanics, Vol. 517, 2004)

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