Theoretical Mantle Dynamics

Comprehensive, mathematically advanced treatment of the continuum mechanics of the Earth's mantle and the geodynamic models used to investigate it.

List of contents

Preface; 1. Formulating geodynamical 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, I: lubrication theory and related techniques; 8. Long-wave theories, II: shells, plates and sheets; 9. Theory of two-phase flow; 10. Hydrodynamic stability and thermal convection; 11. Convection in more realistic systems; References; Index.

About the author

Neil M. Ribe is a Senior Researcher with the Centre National de la Recherche Scientifique (CNRS), Paris, working at the FAST laboratory in Orsay. He has held visiting positions at the Institut de Physique du Globe in Paris, the Earthquake Research Institute of the University of Tokyo, and the University of Cambridge. His research interests include fluid mechanics, geodynamics, and the history of science, and he has contributed chapters in the Treatise on Geophysics (2015) and Annual Review of Fluid Mechanics.

Summary

A comprehensive, mathematically advanced treatment of the continuum mechanics of the Earth's mantle, focussing on the craft of formulating geodynamical model problems and the analytical methods required to solve them. Featuring abundant exercises with worked solutions, this will make a useful resource for geoscientists and applied mathematicians.

Product details

• Authors: Neil Ribe, Neil (Centre National De La Recherche Scient Ribe, Neil (Centre National de la Recherche Scientifique (CNRS) Ribe, Neil M. Ribe, Neil M. (Centre National De La Recherche Sci Ribe, Neil M. (Centre National de la Recherche Scientifique (CNRS) Ribe, RIBE NEIL
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 31.10.2018
• EAN: 9781107174467
• ISBN: 978-1-107-17446-7
• No. of pages: 328
• Subjects: Natural sciences, medicine, IT, technology > Geosciences > Geology; SCIENCE / Earth Sciences / Geology, Geological surface processes (geomorphology), Mechanics of solids, Mechanics of fluids, Engineering: Mechanics of fluids, Engineering: Mechanics of solids, Geomorphology and geological surface processes