Advances in the Theory of Shock Waves

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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 in the area, the five unified articles cover: * the Cauchy problem for hyperbolic systems of conservation laws (T.-P.Liu) * the stability problem for shock waves in the hyperbolic (inviscid) setting (G. Metivier) * shock wave solutions of the Einstein-Euler equations of General Relativity (J. Smoller and B. Temple) * fundamental properties of hyperbolic systems with relaxation (W.-A. Yong) * the stability problem for shock waves in the parabolic (viscous) setting (K. Zumbrun) Recent Advances in the Theory of Shock Waves combines the rigor of mathematical analysis with attention to the physical origins of the field. The topics covered provide ideal starting points for seminars and courses for mathematicians, physicists, and theoretically motivated engineers.