Systems of Conservation Laws 1
Hyperbolicity, Entropies, Shock Waves
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Systems of Conservation Laws 1 by Denis Serre
Book DescriptionSystems 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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Book DetailsISBN: 9780521582339
(247mm x 174mm x 17mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 27-May-1999
Country of Publication: United Kingdom
Books By Author Denis Serre
Handbook of Mathematical Fluid Dynamics, Hardback (April 2007)
Part of a series of survey articles covering many aspects of mathematical fluid dynamics.
Systems of Conservation Laws 2, Hardback (February 2000)» View all books by Denis Serre
A graduate text on mathematical theory of conservation laws and partial differential equations.
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