Global Propagation of Regular Nonlinear Hyperbolic Waves

• Main Authors: Tatsien, Li (Author), Libin, Wang (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2009.
• Edition: 1st.
• Series: Progress in Nonlinear Differential Equations and Their Applications ; 76
• Subjects: Physics.; Mathematical analysis.; Analysis (Mathematics).; Differential equations.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Elementary particles (Physics).; Quantum field theory.; Elementary Particles, Quantum Field Theory.; Analysis.; Theoretical, Mathematical and Computational Physics.; Partial Differential Equations.; Ordinary Differential Equations.; Applications of Mathematics.

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 which leads to the original research of the a...

Table of Contents:

• Preliminaries
• The Cauchy Problem
• The Cauchy Problem (Continued)
• Cauchy Problem on a Semibounded Initial Axis
• One-Sided Mixed Initial-Boundary Value Problem
• Generalized Riemann Problem
• Generalized Nonlinear Initial-Boundary Riemann Problem
• Inverse Generalized Riemann Problem
• Inverse Piston Problem.