Ray Methods for Nonlinear Waves in Fluids and Plasmas

by Marcelo Anile, P Pantano, G Russo, J Hunter

Overview

Presents in a systematic and unified manner the ray method, in its various forms, for studying nonlinear wave propagation in situations of physical interest, essentially fluid dynamics and plasma physics.

Product Details

ISBN-13:	9780367449940
Publisher:	CRC Press
Publication date:	12/02/2019
Series:	Monographs and Surveys in Pure and Applied Mathematics
Pages:	264
Product dimensions:	6.12(w) x 9.19(h) x (d)

About the Author

Anile, Marcelo; Pantano, P; Russo, G; Hunter, J

Table of Contents

Introduction 1. Physical Framework 2. Introductory Concepts for Wave Motions 3. Ray Methods for Linear Waves 4. Ray Methods for Nonlinear Hyperbolic Waves 5. Ray Method for the Propagation of Discontinuities 6. Generalized Wavefront Expansion for Weak Shocks 7. Small Time Analysis and Shock Stability 8. Ray Methods for Nonlinear Dispersive Waves 9. Ray Methods for Nonlinear Dissipative Waves 10. Interaction of Dispersive Waves 11. Interaction of Hyperbolic Waves