Global Propagation of Regular Nonlinear Hyperbolic Waves

✍ Scribed by Tatsien Li, Wang Libin, Ta-tsien Li

• Publisher: Birkhäuser, Springer
• Year: 2009
• Tongue: English
• Leaves: 255
• Series: Progress in nonlinear differential equations and their applications 76
• Category: Library

✦ Synopsis

This monograph describes global propagation of regular nonlinear hyperbolic waves described by first-order quasilinear hyperbolic systems in one dimension. The exposition is clear, concise, and unfolds systematically beginning with introductory material and leading to the original research of the authors. Topics are motivated with a number of physical examples from the areas of elastic materials, one-dimensional gas dynamics, and waves. Aimed at researchers and graduate students in partial differential equations and related topics, this book will stimulate further research and help readers further understand important aspects and recent progress of regular nonlinear hyperbolic waves.

✦ Table of Contents

Front Matter....Pages i-x
Introduction....Pages 1-27
Preliminaries....Pages 29-49
The Cauchy Problem....Pages 51-77
The Cauchy Problem (Continued)....Pages 79-114
Cauchy Problem on a Semibounded Initial Axis....Pages 115-125
One-Sided Mixed Initial-Boundary Value Problem....Pages 127-148
Generalized Riemann Problem....Pages 149-174
Generalized Nonlinear Initial-Boundary Riemann Problem....Pages 175-190
Inverse Generalized Riemann Problem....Pages 191-207
Inverse Piston Problem....Pages 209-243
Back Matter....Pages 1-7

✦ Subjects

Équations d'onde non linéaires;Équations différentielles hyperboliques