Advances in the Theory of Shock Waves

Name: Advances in the Theory of Shock Waves
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Bol In the field known as "the mathematical theory of shock waves," very exciting and unexpected developments have occurred in the last few years. The stability theory of "viscous" shock waves has received a new, geometric perspective due to the work of Kevin Zumbrun and collaborators, which offers a spectral approach to systems. 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.

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In the field known as "the mathematical theory of shock waves," very exciting and unexpected developments have occurred in the last few years. The stability theory of "viscous" shock waves has received a new, geometric perspective due to the work of Kevin Zumbrun and collaborators, which offers a spectral approach to systems. 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.

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