Singularities : formation, structure, and propagation / J. Eggers, University of Bristol, M.A. Fontelos, Consejo Superior de Investigaciones Cientificas, Madrid.
Material type: TextSeries: Cambridge texts in applied mathematics ; 53.Publisher: Cambridge : Cambridge University Press, 2015Description: 1 online resource (xvi, 453 pages) : digital, PDF file(s)Content type:- text
- computer
- online resource
- 9781316161692 (ebook)
- Singularities: Formation, Structure, & Propagation
- 514/.746 23
- QA614.58 .E325 2015
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
There are no comments on this title.