A Mathematical Introduction to Fluid Mechanics
Published in June 1993
Book
Hardback
XI, 169 pages
978-3-540-97918-0 (ISBN)
Description
The goal of this text is not to provide an exhaustive account of fluid mechanics. The goals are: to present some of the basic ideas of fluid mechanics in a mathematically attractive manner; to present the physical background and motivation of some constructions that have been used in recent mathematical and numerical work on the Navier-Stokes equations and on hyperbolic systems; and to interest some of the students in this beautiful and difficult subject. The third edition has incorporated a number of updates and revisions and has been retypeset, but the spirit and scope of the original book are unaltered.
More details
Series
Edition
Corr. 4. Printing
Language
German
Place of publication
Berlin
Germany
Target group
College/higher education
Mathematical Physics, Applied Mechanics, Fluid Dynamics, Rheology
Edition type
Revised edition
Illustrations
87 Schaubilder
87 figs.
Dimensions
Height: 216 mm
Width: 138 mm
Weight
500 gr
ISBN-13
978-3-540-97918-0 (9783540979180)
Schweitzer Classification
Persons
University of California, Berkeley, CA, USA / University of California, Berkeley, CA, USA
Content
Preface.- 1. The Equations of Motion: 1.1. Euler's Equations. 1.2. Rotation and Vorticity. 1.3. The Navier-Stokes Equations.- 2. Potential Flow and Slightly Viscous Flow: 2.1. Potential Flow. 2.2. Boundary Layers. 2.3. Vortex Sheets. 2.4. Remarks on Stability and Bifurcation.- 3. Gas Flow in One Dimension: 3.1. Characteristics. 3.2. Shocks. 3.3. The Riemann Problem. 3.4. Combustion Waves.