书籍详情
物理学与偏微分方程（下册英文版）
作者：Tatsien Li，Tiehu Qin 编
出版社：高等教育出版社
出版时间：2014-09-01
ISBN：9787040408508
定价：¥79.00
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内容简介
PhysicsandPortialDifferentialEquations，Volume//proceedsdirectlyfromVolumeIwithfiveadditionalchaptersthatbridgephysicsandappliedmathematicsinamannerthatiseasilyaccessibletoreaderswithanundergraduate-levelbackgroundinthesedisciplines.Readerswhoaremorefamiliarwithmathematicsthanphysicswilldiscovertheconnectionbetweenvariousphysicalandmechanicaldisciplinesandtheirrelatedmathematicalmodels，whicharedescribedbypartialdifferentialequations（PDEs）.Theauthorsestablishthefundamentalequationsforfieldssuchas·electrodynamics;·fluiddynamics，magnetohydrodynamics，andreactingfluiddynamics;·elastic，thermoelastic，andviscoelasticmechanics;·thekinetictheoryofgases;·specialrelativity;and·quantummechanicsReaderswhoaremorefamiliarwithphysicsthanmathematicswillbenefitfromindepthexplanationsofhowPDEsworkaseffectivemathematicaltoolstomoreclearlyexpressandpresentthebasicconceptsofphysicsThebookdescribesthemathematicalstructuresandfeaturesofthesePDEs，including·thetypesandbasiccharacteristicsoftheequations，·thebehaviorofsolutions，and·somecommonlyusedapproachestosolvingPDEs.Eachchaptercanbereadindependentlyandincludesexercisesandreferences.UsedaloneorinconjunctionwithVolumeI，thisbookisappropriateasatextbookforupper-levelundergraduateandgraduatecoursesandcanalsoserveasareferenceforresearchersinapplicationareasthatusePDEsandinphysicalandnrechanicaldisciplines.
作者简介
暂缺《物理学与偏微分方程（下册英文版）》作者简介
目录
Preface to the English Edition
Preface to the Chinese Edition
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 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 Schrrdinger 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
Preface to the Chinese Edition
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 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 Schrrdinger 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
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