A Mathematical Introduction for Fluid Mechanics: v.4 (Texts in Applied Mathematics) - Tapa dura

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.