Singularities: Formation, Structure, and Propagation PDF Download

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Singularities: Formation, Structure, and Propagation

Singularities: Formation, Structure, and Propagation PDF Author: J. Eggers
Publisher: Cambridge University Press
ISBN: 1316352390
Category : Mathematics
Languages : en
Pages : 471

Book Description
Many key phenomena in physics and engineering are described as singularities in the solutions to the differential equations describing them. Examples covered thoroughly in this book include the formation of drops and bubbles, the propagation of a crack and the formation of a shock in a gas. Aimed at a broad audience, this book provides the mathematical tools for understanding singularities and explains the many common features in their mathematical structure. Part I introduces the main concepts and techniques, using the most elementary mathematics possible so that it can be followed by readers with only a general background in differential equations. Parts II and III require more specialised methods of partial differential equations, complex analysis and asymptotic techniques. The book may be used for advanced fluid mechanics courses and as a complement to a general course on applied partial differential equations.
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