1st Edition

Nonlinear Hyperbolic Waves in Multidimensions

By Phoolan Prasad Copyright 2001

    The propagation of curved, nonlinear wavefronts and shock fronts are very complex phenomena. Since the 1993 publication of his work Propagation of a Curved Shock and Nonlinear Ray Theory, author Phoolan Prasad and his research group have made significant advances in the underlying theory of these phenomena. This volume presents their results and pr

    An Introduction to Nonlinear Hyperbolic Waves. Hyperbolic System-Some Basic Results. Simple Wave, High Frequency Approximation and Ray Theory. Weakly Nonlinear Ray Theory (WNLRT) Derivation. Stability of Solutions Near a Singularity of Sonic Type. WNLRT in a Polytropic Gas. Compatibility Conditions on a Shock: Single Conservation Law. One-Dimensional Piston Problem: An Application of NTSD. Conpatibility Conditions on a Multi-Dimensional Shock. Propagation of a Curved Weak Shock: Properties of the Solution.

    Biography

    Phoolan Prasad