物理学与偏微分方程（第二册）（英文版）
作者： 李大潜，秦铁虎著；李亚纯译
出版时间：2014-09
出版社：高等教育出版社
- 高等教育出版社
- 9787040408508
- 1版
- 150028
- 45245590-0
- 精装
- 16开
- 2014-09
- 370
- 271
- 理学
- 物理学
- O4
- 数学类
- 研究生（硕士、EMBA、MBA、MPA、博士）
Physics and Partial Differential Equations, Volume II, proceeds directly from Volume I with five additional chapters that bridge physics and applied mathematics in a manner that is easily accessible to readers with an undergraduate-level background in these disciplines. Readers who are more familiar with mathematics than physics will discover the connection between various physical and mechanical disciplines and their related mathematical models， which are described by partial differential equations (PDEs). The authors establish the funda mental equations for fields such as electrodynamics, fluid, dynamics, magnetohydrodynamics, and reacting fluid dynamics, elastic, thermoelastic and viscoelastic mechanics, the kinetic theory of gases , special relativity, and quantum mechanicsReaders who are more familiar with physics than mathematics will benefit from in depth explanations of how PDEs work as effective mathematical tools to more clearly express and present the basic concepts of physics The book describes the mathematical structures and features of these PDEs， including the types and basic characteristics of the equations, the behavior of solutions, and some commonly used approaches to solving ch chapter can be read independently and includes exercises and references. Used alone or in conjunction with Volume I， this book is appropriate as a textbook for upper-level undergraduate and graduate courses and can also serve as a reference for researchers in application areas that use PDEs and in physical and nrechanical disciplines.
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
