A Mathematical Introduction to Fluid Mechanics
(Sprache: Englisch)
The goal of this text is to present some of the basic ideas of fluid mechanics in a mathematically attractive manner, to present the physical background and motivation for some constructions that have been used in recent mathematical and numerical work on...
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The goal of this text is to present some of the basic ideas of fluid mechanics in a mathematically attractive manner, to present the physical background and motivation for 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, but the spirit and scope of the original book are unaltered.
Klappentext zu „A Mathematical Introduction to Fluid Mechanics “
A presentation of some of the basic ideas of fluid mechanics in a mathematically attractive manner. The text illustrates the physical background and motivation for some constructions used in recent mathematical and numerical work on the Navier- Stokes equations and on hyperbolic systems, so as to interest students in this at once beautiful and difficult subject. This third edition incorporates a number of updates and revisions, while retaining the spirit and scope of the original book.
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 numberof updates and revisions and has been retypeset, but the spirit and scope of the original book are unaltered.
Inhaltsverzeichnis zu „A Mathematical Introduction to Fluid Mechanics “
Preface1. 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
Bibliographische Angaben
- Autoren: Jerrold E. Marsden , Alexandre J. Chorin
- 3rd ed. 1993. Corr. 4th printing 2000, 192 Seiten, Masse: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387979182
- ISBN-13: 9780387979182
- Erscheinungsdatum: 16.06.2000
Sprache:
Englisch
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