Advances in the Theory of Shock Waves
, by Liu, Tai-Ping; Szepessy, Anders; Metivier, Guy; Smoller, Joel; Temple, Blake; Yong, Wen-An; Zumbrun, KevinNote: Supplemental materials are not guaranteed with Rental or Used book purchases.
- ISBN: 9780817641870 | 0817641874
- Cover: Hardcover
- Copyright: 6/1/2001
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.