APPENDIX IV. Boundary Conditions at the Fluid Core

Chapters in this book

1. Frontmatter i
2. ACKNOWLEDGMENTS vii
3. CONTENTS ix
4. ILLUSTRATIONS xiii
5. TABLES xix
6. ONE. Introduction 1
7. TWO. Physical and Mathematical Foundations
8. A. Equations of Motion of Self-gravitating Elastic and Self-gravitating Viscous Spheres 9
9. B. Constitutive Equations to Model the Earth 23
10. C. Matrix Methods of Solution 30
11. THREE. Formulation of the Theory For Application to the Earth
12. A. Flat Earth, Constant Gravitation 35
13. B. Spherical Earth 72
14. FOUR. Application of Theory: The Earth's Viscosity Structure
15. A. The Duration and Magnitude of the Ice Load: Meltwater Curves and Eustatic Sea Level 113
16. B. The Lithosphere 144
17. C. The Viscosity of the Uppermost Mantle 155
18. D. The Upper Mantle 173
19. E. The Viscosity of the Lower Mantle 196
20. F. Summary of Conclusions: Recommendations for Further Work 267
21. Appendices
22. APPENDIX I. Sketch Derivation of the Navier-Stokes Equation after Eringen 277
23. APPENDIX II. Flat Space Runge-Kutta Equations 285
24. APPENDIX III .Reduction of Equation of Motion in Spherical Coordinates to Scaler Form after Backus (1967) 291
25. APPENDIX IV. Boundary Conditions at the Fluid Core 299
26. APPENDIX V. Spherical Harmonics 307
27. APPENDIX VI .The Isostatic Adjustment of a Layered Viscous Half-Space 319
28. APPENDIX VII. Glacial Uplift in Canada 338
29. BIBLIOGRAPHY 359
30. INDEX 373
31. Backmatter 388