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Systems of Conservation Laws 1

1999-05-27 Mathematics
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Release : 1999-05-27
Genre : Mathematics
Kind : eBook
Book Rating : 414/5 ( reviews)

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Book Synopsis Systems of Conservation Laws 1 by : Denis Serre

Download or read book Systems of Conservation Laws 1 written by Denis Serre. This book was released on 1999-05-27. Available in PDF, EPUB and Kindle. 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.

Systems of Conservation Laws 1

1999-05-27 Mathematics
Download Systems of Conservation Laws 1 PDF Online Free

Author :
Release : 1999-05-27
Genre : Mathematics
Kind : eBook
Book Rating : 339/5 ( reviews)

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Book Synopsis Systems of Conservation Laws 1 by : Denis Serre

Download or read book Systems of Conservation Laws 1 written by Denis Serre. This book was released on 1999-05-27. Available in PDF, EPUB and Kindle. Book excerpt: Graduate text on mathematical theory of conservation laws and partial differential equations.

Systems of Conservation Laws

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 411/5 ( reviews)

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Book Synopsis Systems of Conservation Laws by : Yuxi Zheng

Download or read book Systems of Conservation Laws written by Yuxi Zheng. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This work should serve as an introductory text for graduate students and researchers working in the important area of partial differential equations with a focus on problems involving conservation laws. The only requisite for the reader is a knowledge of the elementary theory of partial differential equations. Key features of this work include: * broad range of topics, from the classical treatment to recent results, dealing with solutions to 2D compressible Euler equations * good review of basic concepts (1-D Riemann problems) * concrete solutions presented, with many examples, over 100 illustrations, open problems, and numerical schemes * numerous exercises, comprehensive bibliography and index * appeal to a wide audience of applied mathematicians, graduate students, physicists, and engineers Written in a clear, accessible style, the book emphasizes more recent results that will prepare readers to meet modern challenges in the subject, that is, to carry out theoretical, numerical, and asymptotical analysis.

Hyperbolic Systems of Conservation Laws

2000 Mathematics
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Release : 2000
Genre : Mathematics
Kind : eBook
Book Rating : 000/5 ( reviews)

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Book Synopsis Hyperbolic Systems of Conservation Laws by : Alberto Bressan

Download or read book Hyperbolic Systems of Conservation Laws written by Alberto Bressan. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction to the mathematical theory of hyperbolic systems of conservation laws, with particular emphasis on the study of discontinuous solutions, characterized by the appearance of shock waves. This area has experienced substantial progress in very recent years thanks to the introduction of new techniques, in particular the front tracking algorithm and the semigroup approach. These techniques provide a solution to the long standing open problems of uniqueness and stability of entropy weak solutions. This volume is the first to present a comprehensive account of these new, fundamental advances. It also includes a detailed analysis of the stability and convergence of the front tracking algorithm. A set of problems, with varying difficulty is given at the end of each chapter to verify and expand understanding of the concepts and techniques previously discussed. For researchers, this book will provide an indispensable reference to the state of the art in the field of hyperbolic systems of conservation laws.

Systems of Conservation Laws

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Book Rating : /5 ( reviews)

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Book Synopsis Systems of Conservation Laws by : Denis Serre

Download or read book Systems of Conservation Laws written by Denis Serre. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

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