Editorial Reviews
Book Description
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.
Book Info
A comprehensive treatment of the modern mathematical theory of shock waves, featuring five self-contained and interrelated articles on the central themes of the subject. For graduate courses and seminars. DLC: Shock waves.
Advances in the Theory of Shock Waves (Progress in Nonlinear Differential Equations and Their Applications),T.-P. Liu,G. Metivier,J. Smoller,B. Temple,W.-A. Yong,K. Zumbrun,Heinrich Freistühler,Anders Szepessy,Birkhauser,0817641874,Advanced,Analytic Mechanics (Mathematical Aspects),Applied,General,Mathematics,Mechanics - General,Science/Mathematics,Shock waves,Wave Mechanics,Waves & Wave Mechanics,Mathematics / Differential Equations,applied mathematics,conservation laws,pdes
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