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Hyperbolic Systems of Conservation Laws: The One-Dimensional Cuachy Problem (Oxford Lecture Series in Mathematics and Its Applications) - Hardcover
Synopsis
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.
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About the Author
Alberto Bressan is at SISSA, Trieste.
Review
"Hyperbolic systems of conservation laws has become such a mature topic in the past decade that several researchers decided to write a book on the subject recently. . This book is entirely devoted to the achievements of the author's long-standing program. The author's results have been the most impressive obtained about conservation laws in the past decade. . .Bressan's style is fluid, and several exercises help doctoral students to digest each chapter. . .Presumably, this book will be often cited in research papers on hyperbolic conservation laws. It is recommended to researchers and graduate students who specialize in this field."--Mathematical Review
"About this title" may belong to another edition of this title.
- PublisherOxford University Press
- Publication date2000
- ISBN 10 0198507003
- ISBN 13 9780198507000
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages262
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ISBN 10: 0198507003
ISBN 13: 9780198507000
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Hardcover. Condition: new. Hardcover. 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 longstanding open problems of uniqueness and stability of entropy weak solutions. This monograph is the first to present a comprehensive account of these new, fundamental advances, mainly obtained by theauthor together with several collaborators. It also includes a detailed analysis of the stability and convergence of the front tracking algorithm. The book is addressed to graduate students as well as researchers. Both the elementary and the more advanced material are carefully explained, helping the reader's visual intuition with over 70 figures. A set of problems, with varying difficulty, is given at the end of each chapter. These exercises are designed to verify and expand a student'sunderstanding of the concepts and techniques previously discussed. For researchers, this book will provide an indispensable reference for the state of the art, in the field of hyperbolic systems ofconservation laws. The last chapter contains a large, up to date list of references, preceded by extensive bibliographical notes. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780198507000
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Hyperbolic Systems of Conservation Laws (Hardcover)
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Hardcover. Condition: new. Hardcover. 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 longstanding open problems of uniqueness and stability of entropy weak solutions. This monograph is the first to present a comprehensive account of these new, fundamental advances, mainly obtained by theauthor together with several collaborators. It also includes a detailed analysis of the stability and convergence of the front tracking algorithm. The book is addressed to graduate students as well as researchers. Both the elementary and the more advanced material are carefully explained, helping the reader's visual intuition with over 70 figures. A set of problems, with varying difficulty, is given at the end of each chapter. These exercises are designed to verify and expand a student'sunderstanding of the concepts and techniques previously discussed. For researchers, this book will provide an indispensable reference for the state of the art, in the field of hyperbolic systems ofconservation laws. The last chapter contains a large, up to date list of references, preceded by extensive bibliographical notes. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780198507000
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Hyperbolic Systems of Conservation Laws : The One Dimensional Cauchy Problem
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