Preface to the English Edition

Preface to the Chinese Edition

1  Electrodynamics

  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 Ideal Fluid Dynamics

  2.2  System of Viscous Fluid Dynamics

  2.3  Navier-Stokes Equations

  2.4  Shock Waves

  2.5  System of One-Dimensional Fluid Dynamics in

  Lagrangian Representation

  Exercises

  Bibliography

3  Magnetohydrodynamies

  3.1  Plasma

  3.2  System of Magnetohydrodynamics

  3.3  System of Magnetohydrodynamics When the

  Conductivity σ Is Infinite

  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 Elastodynamics 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; Internal 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