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A modal view of oscillations in inhomogeneous compressible MHD

Published online by Cambridge University Press:  01 April 1997

P. S. CALLY
Affiliation:
Department of Mathematics, Monash University, Clayton, Victoria 3168, Australia
S. T. MADDISON
Affiliation:
Department of Mathematics, Monash University, Clayton, Victoria 3168, Australia

Abstract

The description of oscillations in inhomogeneous magnetohydrodynamic plasmas in terms of spatial Fourier modes is extended beyond the previous analyses of the incompressible case to a fully compressible plasma in a rigid box. Attention is focused upon the cusp and Alfvén continua and the discrete fast-mode spectrum. As well as providing a convenient method of numerical solution, the modal approach yields novel insights; in particular, the energy ultimately ‘absorbed’ resonantly is just that initially (and always) residing in the continua, and is readily calculated.

Type
Research Article
Copyright
1997 Cambridge University Press

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