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Advances in the Theory of Shock Waves : Progress in Nonlinear Differential Equations and Their Applications - Heinrich Freistuhler

Advances in the Theory of Shock Waves

Progress in Nonlinear Differential Equations and Their Applications

By: Heinrich Freistuhler (Editor), Anders Szepessy (Editor), T.P. Liu (Contribution by), G. Metivier (Contribution by), Joel Smoller (Contribution by)

Hardcover

Published: 26th June 2001
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This volume provides a comprehensive treatment of central themes in the modern mathematical theory of shock waves. Authored by leading scientists, the work covers: * the uniqueness of weak solutions to hyperbolic systems of conservation laws in one space variable (Tai-Ping Liu) * the multidimensional stability problem for shock fronts (Guy Metivier) * shock wave solutions of the Einstein-Euler equations of general relativity (Joel Smoller and Blake Temple) * fundamental properties of hyperbolic systems with relaxation (Wen-An Yong) * the multidimensional stability problem for planar viscous shock waves (Kevin Zumbrun) The five articles, each self-contained and interrelated, combine the rigor of mathematical analysis with careful attention to the physical origins and applications of the field. A timely reference text for professional researchers in shock wave theory, the book also provides a basis for graduate seminars and courses for students of mathematics, physics, and theoretical engineering.

Preface
""Well-Posedness Theory for a System of Hyperbolic Conservation Laws""
""Stability of Multidimensional Shocks""
""Shock Wave Solutions of the Einstein Equations: A General Theory with Examples""
""Basic Aspects of Hyperbolic Relaxation Systems""
""Multidimensional Stability of Planar Viscous Shock Waves""
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780817641870
ISBN-10: 0817641874
Series: Progress in Nonlinear Differential Equations and Their Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 520
Published: 26th June 2001
Publisher: BIRKHAUSER BOSTON INC
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 3.0
Weight (kg): 2.04