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★★★★★★★2014书籍超级帖三八六《地球动力学》剑桥好书
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书名EARTH DYNAMICS 作者D. E. SMYLIE 页数558 出版社Cambridge ISBN 978-0-521-87503-5 ( 目录Preface and acknowledgments page xi The book website www.cambridge.org/smylie xiii 1 Introduction and theoretical background 1 1.1 Scalar, vector and tensor analysis 1 1.2 Separation of vector fields 25 1.3 Vector spherical harmonics 27 1.4 Elasticity theory 33 1.5 Linear algebraic systems 74 1.6 Interpolation and approximation 79 2 Time sequence and spectral analysis 93 2.1 Time domain analysis 94 2.2 Linear optimum Wiener filters 105 2.3 Frequency domain analysis 119 2.4 Fourier series and transforms 154 2.5 Power spectral density estimation 171 2.6 Maximum entropy spectral analysis 198 3 Earth deformations 212 3.1 Equilibrium equations 212 3.2 The reciprocal theorem of Betti 215 3.3 Radial equations: spheroidal and torsional 217 3.4 Dynamical equations 223 3.5 Solutions near the geocentre 231 3.6 Numerical integration of the radial equations 245 3.7 Fundamental, regular solutions in the inner core 256 viii Contents 4 Earth’s rotation: observations and theory 273 4.1 Reference frames 273 4.2 Polar motion and wobble 274 4.3 The dynamics of polar motion and wobble 294 4.4 Nutation and motion of the celestial pole 307 5 Earth’s figure and gravitation 323 5.1 Historical development 323 5.2 External gravity and figure 325 5.3 Equilibrium theory of the internal figure 341 5.4 Gravity coupling 371 6 Rotating fluids and the outer core 386 6.1 The inertial wave equation 386 6.2 Dynamics of the fluid outer core 398 6.3 Scaling of the core equations 407 6.4 Compressibility and density stratification 412 7 The subseismic equation and boundary conditions 420 7.1 The subseismic wave equation 420 7.2 Deformation of the shell and inner core 423 8 Variational methods and core modes 445 8.1 A subseismic variational principle 445 8.2 Representation of the functional 450 8.3 Finite element support functions 453 8.4 Boundary conditions and constraints 456 8.5 Numerical implementation and results 459 8.6 Rotational splitting and viscosity 467 8.7 A viscosity profile for the outer core 478 9 Static deformations and dislocation theory 482 9.1 The elasticity theory of dislocations 482 9.2 The theory for realistic Earth models 497 9.3 Changes in the inertia tensor and the secular polar shift 509 Appendix A Elementary results from vector analysis 514 A.1 Vector identities 514 A.2 Vector calculus identities 514 A.3 Integral theorems 516 Appendix B Properties of Legendre functions 517 B.1 Recurrence relations 518 B.2 Evaluation of Legendre functions 519  Smylie D.E.jpg |
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