HYDRODYNAMICS AND VECTOR FIELD THEORY VOL.2:EXAMPLES IN SPECIAL METHODSPDF电子书下载

查看更多关于的内容

Part Ⅰ TWO-DIMENSIONAL BOUNDARY VALUE PROBLEMS 1

INTRODUCTION 1

CHAPTER 1 COMPLEX POTENTIAL 1

1．1 Basic results in complex vairiable 1

1．2 Some standard complex potentials and results 2

1．3．1 Electrostatic and magnetostatic re-sults,current flow results 3

1．3．2 Hydrodynamic results 3

PROBLEMS FOR SOLUTION 20

CHAPTER 2 IMAGES 25

2．1 Basic results 25

2．2 General description of method 26

PROBLEMS FOR SOLUTION 39

CHAPTER 3 CONFORMAL TRANSFORMATION 43

3．1 Basic results． 43

3．2 Some standard transformations 43

PROBLEMS FOR SOLUTION 77

CHAPTER 4 HARMONICS 85

4．1 Basic results 85

4．2 Method． 85

PROBLEMS FOR SOLUTION 87

Part Ⅱ THREE-DIMENSIONAL BOUNDARY VALUE PROBLEMS 90

INTRODUCTION 90

CHAPTER 5 SPHERICAL HARMONICS 91

5．1 Basic results． 91

5．2 Properties of Legendre polynomials 91

5．3 Harmonic functions 93

5．4 Conditions on the potential 93

5．5 General description of method 93

PROBLEMS FOR SOLUTION 126

CHAPTER 6 IMAGES 133

6．1 General description of method 133

6．2 Standard image systems 133

6．3 Comparison between methods of images and spherical har-monics 134

6．4 Approximate image systems 134

6．5 Solution by spherical harmonics 134

PROBLEMS FOR SOLUTION 152

CHAPTER 7 CURRENT FUNCTION,STOKES＇ STREAM FUNCTION 155

7．1 Basic results 155

7．2．1 Current function 155

7．2．2 Stokes＇stream function 155

PROBLEMS FOR SOLUTION 166

查看更多关于的内容