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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Hyperbolic Systems of Conservation Laws: The One-Dimensional Cuachy Problem

Hyperbolic Systems of Conservation Laws: The One-Dimensional Cuachy Problem

Bressan, Alberto

Hardcover

Series: Oxford Lecture Mathematics and Its Applications, Book 20

CalculusGeneral MathematicsPhysics

ISBN10: 0198507003
ISBN13: 9780198507000
Publisher: OUP Oxford
Published: Dec 21 2000
Pages: 262
Weight: 1.20
Height: 0.63 Width: 6.14 Depth: 9.21
Language: English
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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