Hyperbolic Systems of Conservation Laws

Hyperbolic Systems of Conservation Laws
Author: Philippe G. LeFloch
Publisher: Springer Science & Business Media
Total Pages: 1010
Release: 2002-07-01
Genre: Mathematics
ISBN: 9783764366872

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This book examines the well-posedness theory for nonlinear hyperbolic systems of conservation laws, recently completed by the author together with his collaborators. It covers the existence, uniqueness, and continuous dependence of classical entropy solutions. It also introduces the reader to the developing theory of nonclassical (undercompressive) entropy solutions. The systems of partial differential equations under consideration arise in many areas of continuum physics.


Hyperbolic Systems of Conservation Laws
Language: en
Pages: 1010
Authors: Philippe G. LeFloch
Categories: Mathematics
Type: BOOK - Published: 2002-07-01 - Publisher: Springer Science & Business Media

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This book examines the well-posedness theory for nonlinear hyperbolic systems of conservation laws, recently completed by the author together with his collabora
Numerical Approximation of Hyperbolic Systems of Conservation Laws
Language: en
Pages: 846
Authors: Edwige Godlewski
Categories: Mathematics
Type: BOOK - Published: 2021-08-28 - Publisher: Springer Nature

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This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws in one or two space vari
Front Tracking for Hyperbolic Conservation Laws
Language: en
Pages: 521
Authors: Helge Holden
Categories: Mathematics
Type: BOOK - Published: 2015-12-10 - Publisher: Springer

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This is the second edition of a well-received book providing the fundamentals of the theory hyperbolic conservation laws. Several chapters have been rewritten,
Systems of Conservation Laws 1
Language: en
Pages: 290
Authors: Denis Serre
Categories: Mathematics
Type: BOOK - Published: 1999-05-27 - Publisher: Cambridge University Press

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Systems of conservation laws arise naturally in physics and chemistry. To understand them and their consequences (shock waves, finite velocity wave propagation)
Hyperbolic Systems of Conservation Laws
Language: en
Pages: 270
Authors: Alberto Bressan
Categories: Mathematics
Type: BOOK - Published: 2000 - Publisher: Oxford University Press, USA

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This book provides a self-contained introduction to the mathematical theory of hyperbolic systems of conservation laws, with particular emphasis on the study of