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- W1999175324 abstract "A general theory for treating nonlinear stability problems in dissipative plasmas is developed, based on a two-time method extended to a system of partial differential equations. Assuming small dissipation, the first-order system is identical to that for the usual linear stability problem in magnetohydrodynamics; dissipative and nonlinear effects appear on the slow time scale in higher-order systems. For modes with finite frequencies on the fast time scale, the amplitudes are evolving on the slow time scale and are governed by ordinary differential equations with coefficients depending on the global effects of the eigenfunctions in the first-order system. For modes with low frequencies or small growth rates, nothing changes on the fast time scale; waves and nonlinear effects interact with dissipative effects on the slow time scale, resulting in a higher-order equation. Several possible scalings for dissipation are studied and stability related criteria on the slow time scale are obtained. Ohmic heating effects are also discussed." @default.
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- W1999175324 date "1980-02-01" @default.
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- W1999175324 title "Nonlinear stability problems in dissipative plasmas on two time scales" @default.
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- W1999175324 doi "https://doi.org/10.1063/1.862977" @default.
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