物理學(xué)與偏微分方程（上冊(cè)）

內(nèi)容概要

　　The first volume of the Chinese edition of this book was
published in July 1997， and the second volume was published in June
2000. In July 2000， upon the readers' request， we corrected several
typographical errors and republished the first volume.
　　In this edition， minor typographical errors are corrected， and a
small paragraph has been added to section 5.5.4 in Chapter 5， while
the remaining text is unchanged.
　　We would like to take this opportunity to express our sincere
thanks to our teachers，friends， and readers for their encouragement
and support.

作者簡(jiǎn)介

　　Tatsien Li is a Professor in the School of Mathematical
Sciences at Fudan University in Shanghai. He is a member of the
Chinese Academy of Saences and a foreign member of the French
Academy of Sciences.
　　
　　Tiehu Qin is a Professor in the School of Mathematical Sciences
at Fudan University in Shanghai.

書籍目錄

Preface to the English Edition
Preface to the Clunese Edition
1 Electrodynanucs
1.1 Introduction
1.2 Preliminaries
1.3 Maxwell's Equations in a Vacuum; Lorentz Force
1.4 Electromagnetic Energy and Momentum; Conservation and
Transformation Laws of Energy and Momentum
1.5 Mathematical Structure of Maxwell's Equations; Wave Effect of
Electromagnetic Fields
1.6 Scalar Potential and Vector Potential of an Electromagnetic
Field
1.7 Maxwell's Equations in a Medium
1.8 Electrostatic Fields and Magnetostatic Fields
1.9 Darwin Model
Exercises
Bibliography
2 Fluid Dynamics
2.1 System of ldealFluid Dynamics
2.2 System of Viscous Fluid Dynamics
2.3 Navier-Stokes Equations
2.4 Shock Waves
2.5 System of One-Dimensional F1uid Dynamics in
LagrangianRepresentation
Exercises
Bibliography
3 Magnetohydrodynamics
3.1 Plasma
3.2 System of Magnetohydrodynamics
3.3 System of Magnetohydrodynamics When the
Conductivity　lnfinite
3.4 Mathematical Structure of Magnetohydrodynamics System
3.5 System of One-Dimensional Magnetohydrodynamics
Exercises
Bibliography
4 Reacting Fluid Dynamics
4.1 Introduction
4.2 System of Reacting Fluid Dynamics
4.3 System of One-Dimensional Reacting Fluid Dynamics
Exercises
Bibliography
5 Elastic Mechanics
5.1 Introduction
5.2 Description of Deformation; Strain Tensor
5.3 Conservation Laws; Stress Tensor
5.4 Constitutive Equation： Relationship Between Stress and
Deformation
5.5 System of Elastodynanucs and Its Mathematical Structure
5.6 Well-Posed Problems of the System of Elastostatics
Exercises
Bibliography
Appendix A Cartesian Tensor
A.1 Definition of Tensor
A.2 Operations of Tensor
A.3 Invariants of the Second-Order Symmetric Tensor
A.4 Isotropic Tensor
A.5 Differentiation of Tensor
Appendix B Overview of Thermodynamics
B.1 Objective of the Study of Thermodynamics
B.2 The First Law of Thermodynamics; Intemal Energy
B.3 The Second Law of Thermodynamics; Entropy
B.4 Legendre Transform
B.5 Thermodynamic Functions
B.6 Expressions of Internal Energy and Entropy
Index

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李大潛和秦鐵虎編著的《物理學(xué)與偏微分方程上》內(nèi)容介紹：The fundamental equations in many important physical and mechanical disciplines are partial differential equations. Although the names of these equations are well known,and although a considerable amount of research has been done on these equations, it is not an easy task to comprehensively and profoundly understand the related physical and mechanical background.

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