Nonlinear Hyperbolic Waves in Multidimensions

by Phoolan Prasad

Overview

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

Product Details

ISBN-13:	9781040205242
Publisher:	CRC Press
Publication date:	05/18/2001
Series:	Monographs and Surveys in Pure and Applied Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	360
File size:	5 MB

Table of Contents

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.

Editorial Reviews

Following his 1993 initial report on research into the propagation of curved nonlinear wavefronts and shock fronts, Prasad (mathematics, Indian Institute of Science, Bangalore) here takes the first three chapters to introduce the necessary mathematical concepts. Then he describes new results and develops mathematical models and methods to calculate the complete history not only of a curved nonlinear wave- front and shock front as they evolve in time. He explains that the evolution of a shock front becomes very complex because nonlinear waves ahead and behind the front interact with it and modify its evolution. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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