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Self-Exciting Fluid Dynamos

$48.00 USD

Part of Cambridge Texts in Applied Mathematics

  • Date Published: April 2019
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9781108636834

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  • Exploring the origins and evolution of magnetic fields in planets, stars and galaxies, this book gives a basic introduction to magnetohydrodynamics and surveys the observational data, with particular focus on geomagnetism and solar magnetism. Pioneering laboratory experiments that seek to replicate particular aspects of fluid dynamo action are also described. The authors provide a complete treatment of laminar dynamo theory, and of the mean-field electrodynamics that incorporates the effects of random waves and turbulence. Both dynamo theory and its counterpart, the theory of magnetic relaxation, are covered. Topological constraints associated with conservation of magnetic helicity are thoroughly explored and major challenges are addressed in areas such as fast-dynamo theory, accretion-disc dynamo theory and the theory of magnetostrophic turbulence. The book is aimed at graduate-level students in mathematics, physics, Earth sciences and astrophysics, and will be a valuable resource for researchers at all levels.

    • Includes the most recent theoretical and experimental developments in the field
    • Provides an ideal introduction for students who are new to dynamo theory
    • Surveys observations on planetary and stellar magnetism, giving motivation for the theoretical developments
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    Product details

    • Date Published: April 2019
    • format: Adobe eBook Reader
    • isbn: 9781108636834
    • contains: 215 b/w illus. 30 colour illus. 5 tables
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Preface
    Part I. Basic Theory and Observations:
    1. Introduction
    2. Magnetokinematic preliminaries
    3. Advection, distortion and diffusion
    4. The magnetic field of the Earth and planets
    5. Astrophysical magnetic fields
    Part II. Foundations of Dynamo Theory:
    6. Laminar dynamo theory
    7. Mean-field electrodynamics
    8. Nearly axisymmetric dynamos
    9. Solution of the mean-field equations
    10. The fast dynamo
    Part III. Dynamic Aspects of Dynamo Action:
    11. Low-dimensional models of the geodynamo
    12. Dynamic equilibration
    13. The geodynamo: instabilities and bifurcations
    14. Astrophysical dynamic models
    15. Helical turbulence
    16. Magnetic relaxation under topological constraints
    17. Magnetic relaxation in a low-β plasma
    Appendix. Orthogonal curvilinear coordinates
    References
    Author index
    Subject index.

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    Self-Exciting Fluid Dynamos

    Keith Moffatt, Emmanuel Dormy

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  • Authors

    Keith Moffatt, University of Cambridge
    Keith Moffatt FRS is Emeritus Professor of Mathematical Physics at the University of Cambridge. He has served as Head of the Department of Applied Mathematics and Theoretical Physics, and as Director of the Isaac Newton Institute for Mathematical Sciences in Cambridge. A former editor of the Journal of Fluid Mechanics, he has published papers in fluid dynamics and magnetohydrodynamics, and was a pioneer in the development of topological fluid dynamics. He is a Fellow of the Royal Society, a member of Academia Europæa, and a Foreign Member of the Academies of France, Italy, the Netherlands and USA. He has been awarded numerous prizes, most recently the 2018 Fluid Dynamics Prize of the American Physical Society.

    Emmanuel Dormy, Ecole Normale Supérieure, Paris
    Emmanuel Dormy is a Centre National de la Recherche Scientifique (CNRS) Directeur de Recherche at the Department of Mathematics and its Applications at the Ecole Normale Supérieure (ENS) in Paris. He is also a professor at the ENS and at the Ecole Polytechnique, where he teaches different aspects of fluid dynamics. Convinced of the need to embrace all aspects of the dynamo problem, in 2006 he started a research group at the ENS which promotes an interdisciplinary approach and jointly studies all geophysical and astrophysical aspects of dynamo theory. He also founded and directed the Dynamo-GDRE, which promotes exchanges among researchers working on all aspects of dynamo theory throughout Europe and beyond, and he organises widely attended annual meetings.

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