Advances in the Theory of Shock Waves
By: by Tai-Ping Liu, Guy Métivier, Joel Smoller, Blake Temple, Wen-An Yong, Kevin Zumbrun ; edited by Heinrich Freistühler, Anders Szepessy
Contributors: Metivier, Guy; Smoller, Joel; Temple, Blake; Yong, Wen-An; Zumbrun, Kevin; Freistuhler, Heinrich; Szepessy, Anders
Series: Progress in Nonlinear Differential Equations and Their Applications -- 47; Progress in nonlinear differential equations and their applications -- 47.
Publisher: Birkhäuser Boston; Imprint; Birkhäuser
Published: 2001
Place of publication: Boston, MA
Language: eng
Format: [electronic resource] /
Number of pages: 528
ISBN-13: 9781461201939
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 M,tivier) * 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.