Advances in the theory of shock waves

Heinrich Freistühler, Anders Szepessy

518 pages, parution le 04/12/2001

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Résumé

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 Métivier)
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.

Table of Contents

Preface
Well-Posedness Theory for Hyperbolic Systems of 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

Caractéristiques techniques

	PAPIER
Éditeur(s)	Birkhäuser
Auteur(s)	Heinrich Freistühler, Anders Szepessy
Parution	04/12/2001
Nb. de pages	518
Format	16 x 24
Couverture	Relié
Poids	902g
Intérieur	Noir et Blanc
EAN13	9780817641870
ISBN13	978-0-8176-4187-0