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物理学与偏微分方程 下 英文PDF|Epub|txt|kindle电子书版本网盘下载
- 李大潜，秦铁虎著；李亚纯译 著
- 出版社： 北京：高等教育出版社
- ISBN：7040408508
- 出版时间：2014
- 标注页数：273页
- 文件大小：34MB
- 文件页数：283页
- 主题词：
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图书目录
6 Thermoelasticity1
6.1 Introduction1
6.2 The Conservation Law of Energy and the Entropy Inequality2
6.3 Constitutive Relations in Thermoelasticity9
6.4 System of Thermoelastodynamics and Its Mathematical Structure17
6.5 Propagation of Acceleration Waves27
Exercises32
Bibliography34
7 Viscoelasticity35
7.1 Introduction35
7.2 Constitutive Equations of Viscoelastic Materials and the Dissipation Inequality40
7.3 System of Viscoelastodynamics and Its Well-Posed Problems61
7.4 Singularity of the Kernel and the Propagation of Linear Waves72
7.5 Propagation of Acceleration Wayes80
Exercises84
Bibliography86
8 Kinetic Theory of Gases89
8.1 Introduction89
8.2 Boltzmann Equation90
8.3 Equilibrium State of Dilute Gases102
8.4 Conservation Laws109
8.5 Zero-Order Approximation114
8.6 First-Order Approximation117
8.7 Vlasov Equation and Related Coupled Systems127
Exercises139
Bibliography140
9 Special Relativity and Relativistic Fluid Dynamics141
9.1 Introduction141
9.2 Fundamental Principles in Special Relativity；the Lorentz Transformation144
9.3 Space-Time Theory in Special Relativity152
9.4 Relativistic Dynamics160
9.5 Relativistic Fluid Dynamics169
9.6 Mathematical Structure of the System of Relativistic Fluid Dynamics177
9.7 System of Relativistic Magnetohydrodynamics187
Exercises198
Bibliography201
10 Quantum Mechanics203
10.1 Establishment of Quantum Mechanics203
10.2 Schr?dinger Equation and Wave Function211
10.3 Introduction to the Fundamental Principles of Quantum Mechanics228
10.4 Relativistic Quantum Mechanics and the Dirac Equation233
Exercises257
Bibliography259
Appendix C Tensors in Minkowski Four-Space-Time261
C.1 Minkowski Four-Space-Time and the Lorentz Transformation261
C.2 Tensors in Minkowski Four-Space-Time263
C.3 Operations of Tensors265
C.4 Covariant Derivatives of Tensors266
Index269