Stability of sunspots to convective motions. I - Adiabatic instability
For determining the adiabatic stability of a uniform vertical field in an arbitrary stratification it is sufficient to consider the limit of infinitesimal horizontal wavelength. It is shown how the behavior of the instability can be estimated qualitatively from the dependence of the equipartition field strength on depth. Modes are calculated
Moreno-Insertis, F. et al.
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1989