Alexandre J. Chorin, Jerrold E. Marsden

A Mathematical Introduction to Fluid Mechanics (eBook, PDF)

• Format: PDF

Produktbeschreibung

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. The first chapter contains an elementary derivation of the equations, and the concept of vorticity is introduced. The second chapter contains a discussion of potential flow, vortex motion, and boundary layers. A construction of boundary layers using vortex sheets and random walks is presented. Chapter 3 contains an analysis of one-dimensional gas flow from a mildly modern point of view. Weak solution, Riemann problems, Glimm's scheme, and combustion waves are covered.

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Produktdetails

• Verlag: Springer New York
• Seitenzahl: 168
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781468403640
• Artikelnr.: 43989032

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

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