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The last thirty years have seen great leaps forward in the subject of magnetoconvection. Computational techniques can now explain exotic nonlinear behaviour, transition to chaos and the formation of structures that can be observed on the surface of the Sun. Here, two leading experts present the current state of knowledge of the subject. They provide a mathematical and numerical treatment of the interactions between electrically conducting fluids and magnetic fields that lead to the complex structures and rich behaviour observed on the Sun and other stars, as well as in the interiors of planets like the Earth. The authors' combined analytical and computational approach provides a model for the study of a wide range of related problems. The discussion includes bifurcation theory, chaotic behaviour, pattern formation in two and three dimensions, and applications to geomagnetism and to the properties of sunspots and other features at the solar surface.Read more
- The presentation is mainly self-contained, with brief introductions to magnetohydrodynamics and to nonlinear dynamics
- Relates theoretical applications of nonlinear dynamics to actual numerical solutions
- A range of applications clarify the origin and properties of astrophysical, geophysical and planetary magnetism
Reviews & endorsements
'The book is foremost a lucid exposition of complementary analysis procedures that lead to an intuition and understanding of convection linked to magnetism in diverse settings. These certainly include the surface and interiors of stars, but so too magnetism built by convection in the molten cores of planets, and likely also in accretion disks. Access to this book provides the broad perspective that both young and mature researchers entering these areas should possess, and the book would serve well also in graduate courses in astrophysical and geophysical fluid dynamics … this is a lovely book that does justice to a double-diffusive system of very considerable interest.' Juri Toomre, Geophysical and Astrophysical Fluid DynamicsSee more reviews
'[This book] is a real pleasure to read and is a rich gold-mine that occupies a favourite place on my bookshelf.’ Eric Priest, The Observatory
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- Date Published: December 2014
- format: Hardback
- isbn: 9780521190558
- length: 432 pages
- dimensions: 253 x 180 x 23 mm
- weight: 0.96kg
- contains: 220 b/w illus.
- availability: In stock
Table of Contents
2. Basic MHD
3. Linearized Boussinesq magnetoconvection
4. The nonlinear regime
5. 2D Boussinesq magnetoconvection
6. 3D Boussinesq magnetoconvection
7. Magnetoconvection, rotation and the dynamo
8. Compressible magnetoconvection
9. Solar and stellar magnetic fields
Appendix A. The Boussinesq and anelastic approximations
Appendix B. Chaotic systems
Appendix C. Double-diffusive convection
Appendix D. Magnetic buoyancy and the magneto-Boussinesq approximation
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