A Mathematical Introduction to Fluid Mechanics

Mathematical Introduction to Fluid Mechanics presents some selected highlights of currently interesting topics in fluid mechanics in a compact form, as well as providing a concise and appealing exposition of the basic theory of fluid mechanics.

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Bibliographic Details
Main Authors: Chorin, Alexandre J, Marsden, Jerrold E
Format: eBook
Language:English
Published: New York, NY Springer New York 1990
Springer US
Edition:2
Series:Texts in Applied Mathematics
Subjects:
ISBN:9781468403664, 1468403664, 9781468403657, 9780387973005, 0387973001, 1468403656
ISSN:0939-2475
Online Access:Get full text
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Table of Contents:
  • Texts in Applied Mathematics 4 -- A Mathematical Introduction to Fluid Mechanics -- Copyright -- Series Preface -- Preface -- Contents -- Chapter 1 The Equations of Motion -- Chapter 2 Potential Flow and Slightly Viscous Flow -- Chapter 3 Gas Flow in One Dimension -- Vector Identities -- Index
  • 1 The Equations of Motion -- 1.1 Euler’s Equations -- 1.2 Rotation and Vorticity -- 1.3 Navier-Stokes Equations -- 2 Potential Flow and Slightly Viscous Flow -- 2.1 Potential Flow -- 2.2 Boundary Layers -- 2.3 Vortex Sheets -- Addendum: Remarks on Dynamics and Bifurcation -- 3 Gas Flow in One Dimension -- 3.1 Characteristics -- 3.2 Shocks -- 3.3 The Riemann Problem -- 3.4 Combustion Waves -- Vector Identities.