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• W2000518197 abstract "The development of the resistive kink instability into the nonlinear regime is analyzed dynamically. Two small parameters are involved: the fixed dimensionless resistivity η and the time-dependent amplitude A of the m=1 mode, that measures the amount of nonlinearities in the system. While, for A small, the outer domain is predicted to be ruled by linear ideal magnetohydrodynamic equations, one tracks self-consistently the location of the critical layer and derives the dominant dynamical equations inside it. As A becomes of order η1/2, a nonlinear exponential growth due to a balance between convective and mode coupling terms is predicted for moderately low values of η and the early nonlinear regime below this threshold is quantitatively computed. The nonlinear saturation of the instability should take place for A at most of the order η1/3. This analysis provides a general pattern to model the onset of the nonlinear regime of internal modes." @default.
• W2000518197 created "2016-06-24" @default.
• W2000518197 creator A5000596008 @default.
• W2000518197 date "2004-02-19" @default.
• W2000518197 modified "2023-09-26" @default.
• W2000518197 title "Onset of the nonlinear regime and finite-resistivity effects for the resistive kink instability" @default.
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• W2000518197 doi "https://doi.org/10.1063/1.1640624" @default.
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