作者：王玉柱，刘法贵著
页数：210
出版社：清华大学出版社
出版日期：2016
ISBN：9787302453765
电子书格式：pdf/epub/txt
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。
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。
本书特色
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。
目录
………………………………………………………………………………………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
