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Analytical Methods in Mantle Dynamics

Analytical Methods in Mantle Dynamics

$130.00 (C)

  • Author: Neil Ribe, Centre National de la Recherche Scientifique (CNRS), Paris
  • Publication planned for: January 2019
  • availability: Not yet published - available from January 2019
  • format: Hardback
  • isbn: 9781107174467

$ 130.00 (C)
Hardback

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  • Geodynamics is the study of the deformation and flow of the solid Earth and other planetary interiors. Focusing on the Earth's mantle, this book provides a comprehensive, mathematically advanced treatment of the continuum mechanics of mantle processes and the craft of formulating geodynamical models to approximate them. Topics covered include slow viscous flow, elasticity and viscoelasticity, boundary-layer theory, long-wave theories including lubrication theory and shell theory, two-phase flow, and hydrodynamic stability and thermal convection. A unifying theme is the utility of powerful general methods (dimensional analysis, scaling analysis, and asymptotic analysis) that can be applied in many specific contexts. Featuring abundant exercises with worked solutions for graduate students and researchers, this book will make a useful resource for Earth scientists and applied mathematicians with an interest in mantle dynamics and geodynamics more broadly.

    • Exercises are included at the end of each chapter allowing readers to test their understanding, with worked solutions provided online
    • A diverse range of topics is covered, providing a comprehensive reference on mantle dynamics
    • Common themes (dimensional analysis, scaling analysis, self-similarity, asymptotic analysis) are emphasised throughout the chapters to give unity to the book
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    Product details

    • Publication planned for: January 2019
    • format: Hardback
    • isbn: 9781107174467
    • dimensions: 247 x 174 mm
    • contains: 53 b/w illus.
    • availability: Not yet published - available from January 2019
  • Table 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.

  • Author

    Neil Ribe, Centre National de la Recherche Scientifique (CNRS), Paris
    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.

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