《HYDRODYNAMICS AND VECTOR FIELD THEORY VOL.2:EXAMPLES IN SPECIAL METHODS》求取 ⇩

Part ⅠTWO-DIMENSIONAL BOUNDARY VALUE PROBLEMS1

INTRODUCTION1

CHAPTER 1COMPLEX POTENTIAL1

1．1 Basic results in complex vairiable1

1．2 Some standard complex potentials and results2

1．3．1 Electrostatic and magnetostatic re-sults,current flow results3

1．3．2 Hydrodynamic results3

PROBLEMS FOR SOLUTION20

CHAPTER 2IMAGES25

2．1 Basic results25

2．2 General description of method26

PROBLEMS FOR SOLUTION39

CHAPTER 3CONFORMAL TRANSFORMATION43

3．1 Basic results．43

3．2 Some standard transformations43

PROBLEMS FOR SOLUTION77

CHAPTER 4HARMONICS85

4．1 Basic results85

4．2 Method．85

PROBLEMS FOR SOLUTION87

Part ⅡTHREE-DIMENSIONAL BOUNDARY VALUE PROBLEMS90

INTRODUCTION90

CHAPTER 5SPHERICAL HARMONICS91

5．1 Basic results．91

5．2 Properties of Legendre polynomials91

5．3 Harmonic functions93

5．4 Conditions on the potential93

5．5 General description of method93

PROBLEMS FOR SOLUTION126

CHAPTER 6IMAGES133

6．1 General description of method133

6．2 Standard image systems133

6．3 Comparison between methods of images and spherical har-monics134

6．4 Approximate image systems134

6．5 Solution by spherical harmonics134

PROBLEMS FOR SOLUTION152

CHAPTER 7CURRENT FUNCTION,STOKES＇ STREAM FUNCTION155

7．1 Basic results155

7．2．1 Current function155

7．2．2 Stokes＇stream function155

PROBLEMS FOR SOLUTION166