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非线性双曲偏微分方程:英文 内容简介
作者科研实力雄厚，厚积薄发，写成不可多得的本领域经典学术专著，值得推广使用。
非线性双曲偏微分方程:英文 目录
Preface
...................................................................................................I
Chapter 1 Introduction.....................................................................
1
1.1 Intention
and Signi.cances ....................................................... 1
1.2 Basic
Concepts ........................................................................
7
1.3 Some
Examples.......................................................................14
1.4 Preliminaries
..........................................................................18
Chapter 2 Cauchy
Problem for Nonlinear Hyperbolic Systems in Diagonal Form
...........................................................25
2.1 The
Single Nonlinear Hyperbolic Equation ...............................25
2.2 The
Classical Solutions to Single Nonlinear Hyperbolic Equation ................................................................................322.3 Nonlinear
Hyperbolic Equations in Diagonal Form....................40
Chapter 3 Singularities
Caused by the Eigenvectors ....................50
3.1 Introduction
...........................................................................50
3.2 Completely
Reducible Systems.................................................55
3.3 2-Step
Completely Reducible Systems ......................................59
3.4 m(m>
2)-Step Completely Reducible Systems with Constant Eigenvalues
..............................................................67
3.5 Non-completely
Reducible Systems ..........................................74
3.6 Examples
...............................................................................76
Chapter 4 Hyperbolic
Geometric Flow on Riemannian
Surfaces...........................................................................854.1 Introduction
...........................................................................85
4.2 Cauchy
Problem for Hyperbolic Geometric Flow.......................87
4.3 Mixed
Initial Boundary Value Problem for Hyperbolic Geometric Flow
......................................................................99
4.4 Dissipative
Hyperbolic Geometric Flow .................................. 107
4.5 Explicit
Solutions..................................................................119
4.6 Radial
Solutions to Hyperbolic Geometric Flow ...................... 124
Chapter 5 Life-Span
of Classical Solutions to Hyperbolic Geometric Flow in Two Space Variables with
Slow Decay Initial Data .............................................. 127
5.1 Intention
and Signi.cances .................................................... 127
5.2 Some
Useful Lemmas ............................................................ 130
5.3 Lower
Bound of Life-Span ..................................................... 143
Chapter 6 Nonlinear
Hyperbolic Systems with Relaxation ...... 153
6.1 Introduction
......................................................................... 153
6.2 Global
Classical Solutions...................................................... 155
6.3 Applications
.........................................................................162
6.4 Convergence
of Approximate Solutions...................................165
Chapter 7 Applications..................................................................
175
7.1 One Dimensional Hydromagnetic
Dynamics............................175
7.2 Fluid Flow on a Pipe
............................................................ 187
7.3 Heat Conduction with Finite of
Propagation .......................... 189
7.4 A Nonlinear Systems in
Viscoelasticity...................................191
Bibliography
......................................................................................
202
Index
..................................................................................................
209
非线性双曲偏微分方程:英文 作者简介
刘法贵，教授，理学博士，华北水利水电大学教务处处长。硕士生导师。河南省数学学会理事，郑州市数学学会理事。河南省学术技术带头人，河南省优秀中青年骨干教师，省级重点学科带头人，河南省“555”省级人选。从事拟线性双曲偏微分方程的研究，在国内外重要学术期刊上发表论文50余篇。
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