
doi: 10.1063/1.862296
It can be shown that for linearly unstable magnetohydrodynamic modes near the threshold of linear instability, the mode amplitude A (t) evolves according to ∂2A/Λt2 =λ2A+αA3 which can lead to nonlinear stabilization, explosive instability, or eventual decay, depending on the sign of α. This is demonstrated explicitly for the m=1 kink modes in a sharp boundary plasma pinch.
Stability and instability of geophysical and astrophysical flows, Magnetohydrodynamics and electrohydrodynamics
Stability and instability of geophysical and astrophysical flows, Magnetohydrodynamics and electrohydrodynamics
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