Book contents
- frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- Abbreviations
- 1 Formulating Geodynamic Model Problems: Three Case Studies
- 2 Dimensional and Scaling Analysis
- 3 Self-Similarity and Intermediate Asymptotics
- 4 Slow Viscous Flow
- 5 Elasticity and Viscoelasticity
- 6 Boundary-Layer Theory
- 7 Long-Wave Theories, 1: Lubrication Theory and Related Techniques
- 8 Long-Wave Theories, 2: Shells, Plates and Sheets
- 9 Theory of Two-Phase Flow
- 10 Hydrodynamic Stability and Thermal Convection
- 11 Convection in More Realistic Systems
- 12 Solutions to Exercises
- References
- Index
1 - Formulating Geodynamic Model Problems: Three Case Studies
Published online by Cambridge University Press: 20 September 2018
Book contents
- frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- Abbreviations
- 1 Formulating Geodynamic Model Problems: Three Case Studies
- 2 Dimensional and Scaling Analysis
- 3 Self-Similarity and Intermediate Asymptotics
- 4 Slow Viscous Flow
- 5 Elasticity and Viscoelasticity
- 6 Boundary-Layer Theory
- 7 Long-Wave Theories, 1: Lubrication Theory and Related Techniques
- 8 Long-Wave Theories, 2: Shells, Plates and Sheets
- 9 Theory of Two-Phase Flow
- 10 Hydrodynamic Stability and Thermal Convection
- 11 Convection in More Realistic Systems
- 12 Solutions to Exercises
- References
- Index
Summary
Chapter 1 illustrates the art of formulating geodynamical model problems using three case studies: heat transfer from mantle diapirs, subduction, and plume-lithosphere interaction. Emphasis is placed on a hierarchical approach in which simple initial models guide the formulation of progressively more complex and realistic models.
- Type
- Chapter
- Information
- Theoretical Mantle Dynamics , pp. 1 - 8Publisher: Cambridge University PressPrint publication year: 2018