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