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Author(s): N. O. Weiss, M. R. E. Proctor

ISBN: 9780521190558
Publication Date: 30-10-2014
Pages: 432
Format: Hardback
Regular price £123.00 GBP
Regular price Sale price £123.00 GBP

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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.

  • 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