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

Chorin, Alexandre Joel; Marsden, Jerrold

9783540973003: A Mathematical Introduction for Fluid Mechanics: v.4 (Texts in Applied Mathematics)

Hardcover

ISBN 10: 3540973001 ISBN 13: 9783540973003

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1990

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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.

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"... 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

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