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The Quarterly Journal of Mechanics and Applied Mathematics 1978 31(1):77-98; doi:10.1093/qjmam/31.1.77
© 1978 by Oxford University Press
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MAGNETOHYDRODYNAMIC WAVE-ENERGY FLUX IN A STRATIFIED COMPRESSIBLE ATMOSPHERE WITH SHEAR

J. A. ADAM {dagger}

( Astronomy Centre, University of Sussex )

The full wave equation is derived for motion in a compressible, perfectly conducting stratified atmosphere, with a shear flow along a horizontal magnetic field. Expressions are derived for the vertical distribution of mechanical energy flux F(z) as a function of altitude, and a number of stability results are established on the basis of a normal mode energy-flux function Formula . These include a semicircle theorem; and a sufficient condition for stability against shear (not necessarily for stably-stratified media) in a magnetoatmospheric régime.


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