A Mathematical Introduction to Fluid Mechanics

1. Front Matter

   Pages i-ix

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2. The Equations of Motion

   • A. J. Chorin, J. E. Marsden

   Pages 1-46

3. Potential Flow and Slightly Viscous Flow

   • A. J. Chorin, J. E. Marsden

   Pages 47-103

4. Gas Flow in One Dimension

   • A. J. Chorin, J. E. Marsden

   Pages 104-164

5. Back Matter

   Pages 165-168

   PDF

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.

• Identity
• dynamics
• equation
• fluid mechanics
• waves

 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

• Department of Mathematics, University of California, Berkeley, USA

  A. J. Chorin, J. E. Marsden

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