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  • 高等教育出版社
  • 9787040408508
  • 1版
  • 47265742-8
  • 16开
  • 370
  • 理学
  • 数学类
  • 数学类
  • 研究生及以上
内容简介

Physics and Partial Differential Equations, Volume II, 

目录
目录
 前辅文
 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 BoltzmannEquation
  8.3 Equilibrium State of Dilute Gases
  8.4 ConservationLaws
  8.5 Zero-OrderApproximation
  8.6 First-OrderApproximation
  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 LorentzTransformation
  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 Schrödinger 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 ofTensors
  C.4 CovariantDerivatives ofTensors
 Index
 前辅文
 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 BoltzmannEquation
  8.3 Equilibrium State of Dilute Gases
  8.4 ConservationLaws
  8.5 Zero-OrderApproximation
  8.6 First-OrderApproximation
  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 LorentzTransformation
  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 Schrödinger 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 ofTensors
  C.4 CovariantDerivatives ofTensors
 Index