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 Wayes

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 Schr?dinger 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