物理学与偏微分方程（下册 英文版）

物理学与偏微分方程（下册 英文版）
作者：李大潜，秦铁虎著；李亚纯译
出版时间：2014年版
内容简介
本书为英文版，由我社与美国工业与应用数学协会（SIAM，Society for Industrial and Applied Mathematics）共同合作出版，在国内外同时发行。
本书力求在物理与偏微分方程之间架设一座桥梁，帮助从事应用偏微分方程学习、研究与教学的教师、研究生、高年级大学生及其他学科领域与应用部门的学者和研究工作者熟练掌握近代物理学中一些重要的基本方程，了解其来龙去脉及推导过程，理解现今国际上一些重要并常见的偏微分方程数学模型，从而可以更自觉地学习和运用，并会抓住一些有意义的问题开展研究工作。全书分上、下两册出版。下册共5章，从最基本的物理概念出发分别介绍了热弹性力学、粘弹性力学、气体分子运动论、狭义相对论和相对论流体力学、量子力学，重点介绍建立它们的基本方程的全过程，并对这些方程在数学上的结构与特征作简略的说明，还有选择地介绍了近年来国际上的一些最近的研究成果。
目录
Preface to the English Edition
Preface to the Chinese Edition
6 Thermoelasticity
6.1 Introduction
6.2 The Conservation Law of Energy and the Entropy Inequality
6.3 Constitutive Relations in Thermoelasticity
6.4 System of Thermoelastodynamics and Its Mathematical Structure
6.5 Propagation of Acceleration Waves
Exercises
Bibliography
7 Viscoelasticity
7.1 Introduction
7.2 Constitutive Equations of Viscoelastic Materials and the Dissipation Inequality
7.3 System of Viscoelastodynamics and Its Well—Posed Problems
7.4 Singularity of the Kernel and the Propagation of Linear Waves
7.5 Propagation of Acceleration Waves
Exercises
Bibliography
8 Kinetic Theory of Gases
8.1 Introduction
8.2 Boltzmann Equation
8.3 Equilibrium State of Dilute Gases
8.4 Conservation Laws
8.5 Zero—Order Approximation
8.6 First—Order Approximation
8.7 Vlasov Equation and Related Coupled Systems
Exercises
Bibliography
9 Special Relativity and Relativistic Fluid Dynamics
9.1 Introduction
9.2 Fundamental Principles in Special Relativity； the Lorentz Transformation
9.3 Space—Time Theory in Special Relativity
9.4 Relativistic Dynamics
9.5 Relativistic Fluid Dynamics
9.6 Mathematical Structure of the System of Relativistic Fluid Dynamics
9.7 System of Relativistic Magnetohydrodynamics
Exercises
Bibliography
10 Quantum Mechanics
10.1 Establishment of Quantum Mechanics
10.2 Schrtidinger Equation and Wave Function
10.3 Introduction to the Fundamental Principles of Quantum Mechanics
10.4 Relativistic Quantum Mechanics and the Dirac Equation
Exercises
Bibliography
Appendix C Tensors in Minkowski Four—Space—Time
C.1 Minkowski Four—Space—Time and the Lorentz Transformation
C.2 Tensors in Minkowski Four—Space—Time
C.3 Operations of Tensors
C.4 Covariant Derivatives of Tensors
Index