Theoretical mantle dynamics / Neil M. Ribe.

Format:

Book

Author/Creator:

Ribe, Neil M., 1955- author.

Language:

English

Subjects (All):

Geodynamics.

Earth (Planet)--Mantle.

Earth (Planet).

Physical Description:

1 online resource (xvi, 314 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2018.

Summary:

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.

Contents:

Formulating geodynamical model problems: three case studies

Dimensional and scaling analysis

Self-similarity and intermediate asymptotics

Slow viscous flow

Elasticity and viscoelasticity

Boundary-layer theory

Long-wave theories, I: lubrication theory and related techniques

Long-wave theories, II: shells, plates and sheets

Theory of two-phase flow

Hydrodynamic stability and thermal convection

Convection in more realistic systems.

Notes:

Title from publisher's bibliographic system (viewed on 24 Sep 2018).

Includes bibliographical references and index.

ISBN:

1-316-80061-X

1-316-79589-6

1-316-80572-7