最 低 价：￥203.00
定 价：￥225.55
作 者：StefanBergman 著 著
出 版 社：Oversea Publishing House
出版时间：2005-9-1
I S B N：9780486445533
| PREFACE NOTE TO THE READER Part A Boundary Value Problems for Partial Differential Equations of Elliptic Type CHAPTER Ⅰ: THEORY OF HEAT CONDUCTION 1. The differential equation of heat transfer 2, The special case of steady flow 5. Point sources and fundamental singularities 4. Fundamental solutions 5. Discontinuities 6. Dirichlet's principle 7. A modified heat equation 8. Formal considerations CHAPTER Ⅱ: FLUID DYNAMICS 1. The fundamental equations 2. Stationary irrotational flow 5. Incompressible, irrotational, stationary fluid flow 4. Sources and sinks 5. Fundamental solutions and flow patterns 6. Infinite domains 7. Virtual mass 8. Dirichlet identities 9. Virtual mass as an extremum 10. Variational formulas 11. Free boundaries, discontinuity surfaces, and virteal mass 12. Two-dimensional flows 13. Boundary value problems and fundamental solutions in plane flows 14. Obstacles in a plane flow 15. Tile variation of the Green's function 16. Lavrentieff's extremum problem for lift 17. Free boundaries in plane flow 18. The complex kernel function and its applications 19. Axially symmetric motion of an incompressible fluifX 20. Associated partial differential equations 21. Two-dimensi0nal compressible fluid flow 22. Construction of solutions of the differential equations in the hodograph plane 25. The laodograph method and boundary value problems in the physical plane 24. Singularities in the hodograph plane and their application CHAPTER Ⅲ. ELECTRO-AND [AGNETOSTATICS 1. The general equations of the electrostatic field 2. Conductor potentials and induction coefficients 5. The energy of the electrostatic field 4. The magnetostatic field 5. The conductor potential; spherical harmonics 6. Polarization of a conducting surface 7. Forces and moments in a conductor surface 8. Orthogonal harmonic functions CHAPTER Ⅳ: ELASTICITY" 1. Strain tensor fields 2. Stress tensor fields 3. Stress-strain relations 4. The energy integral and boundary value problems 5. Betti's formula and the fundamental singularity 6. Fundamental solutions 7. Construction of the fundamental solutions in terms of orthonormal solution fields 8. Particular solutions 9. The theory of thin plates 10. Fundamental solutions of the biharmonic equation 11. Plane strain Part B Kernel Function Methods in the Theory of Boundary Value Problems CHAPTER Ⅰ: PROPERTIES OF SOLUTIONS 1. Introduction 2. Notation and defimtions 5. Properties of the solutions of (1.1) 4. Existence theorems for certain solutions 5. Fundamental singularities and fundamental solutions 6. Dirichlet integrals and fundamental functions CHAPTER Ⅱ: THE KERNEL FUNCTIONS AND THEIR PROPERTIES 1. Kernel functions 2. Orthonormal systems and construction of the kernel 3. Integral operators and the construction of complete sets of solutions 4. Dirichlet identities 5. Choice of the fundamental singularity 6. The regularity of l (P,O) 7. An integral equation for the kernel 8. The eigenvalues of the kernel l (P,J) 9. Series developments and integral equations …… Author Index Subject Index |
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