A Mathematical Introduction to Fluid Mechanics - Chorin, Alexandre J.; Marsden, Jerrold E.
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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.…mehr

Produktbeschreibung
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.
  • Produktdetails
  • Texts in Applied Mathematics
  • Verlag: Springer, Berlin
  • 3rd ed. pr.
  • Seitenzahl: 192
  • Erscheinungstermin: 16. Juni 2000
  • Englisch
  • Abmessung: 241mm x 160mm x 15mm
  • Gewicht: 430g
  • ISBN-13: 9783540979180
  • ISBN-10: 3540979182
  • Artikelnr.: 04065184
Autorenporträt
University of California, Berkeley, CA, USA / University of California, Berkeley, CA, USA
Inhaltsangabe
From the contents: Preface - The Equations of Motion: Euler's Equations. Rotation and Vorticity. The Navier-Stokes Equations - Potential Flow and Slightly Viscous Flow: Potential Flow. Boundary Layers. Vortex Sheets. Remarks on Stability and Bifurcation - Gas Flow in One Dimension: Characteristics. Shocks. The Riemann Problem. Combustion Waves

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.
Rezensionen
From the reviews:

"... The book contains some of the basic ideas of fluid mechanics in a mathematically attractive manner...has the very advantage of providing the solution of the differential equations using the new and modern techniques...the material is very well presented both the mathematical arguments as well as the physical input." Physicalia

From the reviews:

"... The book contains some of the basic ideas of fluid mechanics in a mathematically attractive manner...has the very advantage of providing the solution of the differential equations using the new and modern techniques...the material is very well presented both the mathematical arguments as well as the physical input." Physicalia