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3 - Magnetically Structured Atmospheres

Published online by Cambridge University Press:  15 July 2019

Bernard Roberts
Bernard Roberts
Affiliation:
University of St Andrews, Scotland
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Summary

Wave propagation in a non-uniform medium is formulated and the basic governing partial differential equations are derived. Two geometries are considered: the Cartesian system and the cylindrical polar system. The fundamental ordinary differential equations governing wave propagation are obtained. Singularities in the system are introduced. The idea of phase mixing is introduced. Again, the special cases of the incompressible medium and a $\beta = 0$ plasma are formulated

Keywords

magnetic structuringfundamental differential equationsCartesian systemcylindrical coordinatessingularitiesphase mixing
Type
Chapter
Information
MHD Waves in the Solar Atmosphere , pp. 66 - 82
Publisher: Cambridge University Press
Print publication year: 2019

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