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Systems of Conservation Laws 1

Download or Read eBook Systems of Conservation Laws 1 PDF written by Denis Serre and published by Cambridge University Press. This book was released on 1999-05-27 with total page 290 pages. Available in PDF, EPUB and Kindle.
Systems of Conservation Laws 1
Author :
Publisher : Cambridge University Press
Total Pages : 290
Release :
ISBN-10 : 1139425412
ISBN-13 : 9781139425414
Rating : 4/5 (12 Downloads)

Book Synopsis Systems of Conservation Laws 1 by : Denis Serre

Book excerpt: Systems of conservation laws arise naturally in physics and chemistry. To understand them and their consequences (shock waves, finite velocity wave propagation) properly in mathematical terms requires, however, knowledge of a broad range of topics. This book sets up the foundations of the modern theory of conservation laws, describing the physical models and mathematical methods, leading to the Glimm scheme. Building on this the author then takes the reader to the current state of knowledge in the subject. The maximum principle is considered from the viewpoint of numerical schemes and also in terms of viscous approximation. Small waves are studied using geometrical optics methods. Finally, the initial-boundary problem is considered in depth. Throughout, the presentation is reasonably self-contained, with large numbers of exercises and full discussion of all the ideas. This will make it ideal as a text for graduate courses in the area of partial differential equations.


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These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at
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