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Magnetoconvection / N.O. Weiss, University of Cambridge, M.R.E. Proctor, University of Cambridge.

By: Contributor(s): Material type: TextTextSeries: Cambridge monographs on mechanicsPublisher: Cambridge : Cambridge University Press, 2014Description: 1 online resource (xi, 397 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511667459 (ebook)
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 538/.7 23
LOC classification:
  • QC754.2.M3 W45 2014
Online resources:
Contents:
Preface -- 1. Introduction -- 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 -- References -- Index.
Summary: 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.
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Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Preface -- 1. Introduction -- 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 -- References -- Index.

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.

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