Stability Analysis of Non-Steady MHD-Equilibria

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Mhd, Stability, Non-Steady Equilibrium

Scientific paper

Following the work of Bernsteinet al. (1958), Frieman and Rotenberg (1960) and Unno (1968) a formalism is developed which allows to examine the adiabatic stability of a perfectly conducting, rotating and self-gravitating plasma in non-steady equilibrium. Using this method the stability of a plasma in a dynamical phase of its evolution can be predicted. Global stability investigations are carried out which are based on a variation of the total energy of the system and, in general, lead to sufficient conditions for stability. The formalism is applied to the stability of a horizontal magnetic field in a medium stratified by a gravitational field.

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