A mathematical introduction to fluid mechanics, Second Edition (Texts in applied mathematics) by A. J. Chorin
A mathematical introduction to fluid mechanics, Second Edition (Texts in applied mathematics) by A. J. Chorin
English | 2000 | ISBN: 0387973001 | 168 pages | PDF | 1 MB
English | 2000 | ISBN: 0387973001 | 168 pages | PDF | 1 MB
This study presents some selected highlights of current topics in fluid mechanics in a compact form, as well as providing a concise 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. The text also contains an analysis of one-dimensional gas flow, weak solutions, Riemann problems, Glimm's scheme and combustion waves.