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物理学与偏微分方程 上 英文版PDF|Epub|txt|kindle电子书版本网盘下载

物理学与偏微分方程 上 英文版
  • 秦铁虎著 著
  • 出版社： 北京：高等教育出版社
  • ISBN：9787040346572
  • 出版时间：2012
  • 标注页数：265页
  • 文件大小：48MB
  • 文件页数：274页
  • 主题词：物理学－偏微分方程－英文

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图书目录

1 Electrodynamics1

1.1 Introduction1

1.2 Preliminaries2

1.3 Maxwell's Equations in a Vacuum;Lorentz Force13

1.4 Electromagnetic Energy and Momentum;Conservation and Transformation Laws of Energy and Momentum17

1.5 Mathematical Structure of Maxwell's Equations;Wave Effect of Electromagnetic Fields22

1.6 Scalar Potential and Vector Potential of an Electromagnetic Field31

1.7 Maxwell's Equations in a Medium40

1.8 Electrostatic Fields and Magnetostatic Fields48

1.9 Darwin Model57

Exercises65

Bibliography67

2 Fluid Dynamics69

2.1 System of Ideal Fluid Dynamics69

2.2 System of Viscous Fluid Dynamics90

2.3 Navier-Stokes Equations105

2.4 Shock Waves109

2.5 System of One-Dimensional Fluid Dynamics in Lagrangian Representation120

Exercises126

Bibliography128

3 Magnetohydrodynamics131

3.1 Plasma131

3.2 System of Magnetohydrodynamics133

3.3 System of Magnetohydrodynamics When the Conductivity σ Is Infinite144

3.4 Mathematical Structure of Magnetohydrodynamics System148

3.5 System of One-Dimensional Magnetohydrodynamics152

Exercises158

Bibliography159

4 Reacting Fluid Dynamics161

4.1 Introduction161

4.2 System of Reacting Fluid Dynamics162

4.3 System of One-Dimensional Reacting Fluid Dynamics169

Exercises172

Bibliography173

5 Elastic Mechanics175

5.1 Introduction175

5.2 Description of Deformation;Strain Tensor177

5.3 Conservation Laws;Stress Tensor182

5.4 Constitutive Equation:Relationship Between Stress and Deformation194

5.5 System of Elastodynamics and Its Mathematical Structure207

5.6 Well-Posed Problems of the System of Elastostatics224

Exercises234

Bibliography235

Appendix A Cartesian Tensor237

A.1 Definition of Tensor237

A.2 Operations of Tensor239

A.3 Invariants of the Second-Order Symmetric Tensor242

A.4 Isotropic Tensor243

A.5 Differentiation of Tensor247

Appendix B Overview of Thermodynamics249

B.1 Objective of the Study of Thermodynamics249

B.2 The First Law of Thermodynamics;Internal Energy250

B.3 The Second Law of Thermodynamics;Entropy250

B.4 Legendre Transform253

B.5 Thermodynamic Functions256

B.6 Expressions of Internal Energy and Entropy258

Index261

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