Global Propagation of Regular Nonlinear Hyperbolic Waves

2009. Auflage 2009
ISBN: 978-0-8176-4244-0
Verlag: Birkhauser Boston

Buch, Englisch, Band 76, 252 Seiten, Format (B × H): 163 mm x 242 mm, Gewicht: 1210 g

Reihe: Progress in Nonlinear Differential Equations and Their Applications

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.

Zielgruppe

Research

Autoren/Hrsg.

Li, Tatsien

Libin, Wang

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Naturwissenschaften Physik Quantenphysik
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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.