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Hyperbolic Systems of Conservation Laws
The One-Dimensional Cuachy Problem
Buch von Alberto Bressan
Sprache: Englisch

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Beschreibung
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.
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.
Details
Erscheinungsjahr: 2000
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9780198507000
ISBN-10: 0198507003
Sprache: Englisch
Einband: Gebunden
Autor: Bressan, Alberto
Hersteller: Oxford University Press
Maße: 241 x 162 x 19 mm
Von/Mit: Alberto Bressan
Erscheinungsdatum: 21.12.2000
Gewicht: 0,499 kg
Artikel-ID: 120662093
Details
Erscheinungsjahr: 2000
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9780198507000
ISBN-10: 0198507003
Sprache: Englisch
Einband: Gebunden
Autor: Bressan, Alberto
Hersteller: Oxford University Press
Maße: 241 x 162 x 19 mm
Von/Mit: Alberto Bressan
Erscheinungsdatum: 21.12.2000
Gewicht: 0,499 kg
Artikel-ID: 120662093
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