Cauchy Problem for Quasilinear Hyperbolic Systems

拟线性双曲方程组Cauchy问题

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Author: Liu Fagui
Language: English
ISBN/ISSN: 7807340207
Published on: 2006-01
Hardcover

This book is concered with Cauchy problem for the first order quasilinear hyperbolic systems, some basic concepts of quasilinear hyperbolic systems and basic methods for studying classical solutions are given. In this book, we discussed single quasilinear hyperbolic equation, classical solutions to reducible quasilinear hyperbolic systems, dissipation and relaxation problem, singularities caused by the eigenvectors, and quasilinear hyperbolic systems in linearly degenerate type.

Contents

Preface
Chapter 1 Introduction
Chapter 2 The Single Quasilinear Hyperbolic Systems
Chapter 3 Quasilinear Hyperbolic Systems in Diagonal Form
Chapter 4 Discontinuous Intitial Value Problem for Quasilinear Hyperbolic Systems
Chapter 5 Singularities Caused by the Eigenvectors
Chapter 6 Quasilinear Hyperbolic Systems with Dissipative Term
Chapter 7 Quasilinear Hyperbolic Systems with Relaxation
Chapter 8 Cauchy Problem for Quasilinear Hyperbolic Systems in Linearly
Bibliography



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