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• W1787128963 abstract "Modifications of the equations of ideal fluid dynamics with advected quantities are introduced that allow selective decay of either the energy $h$ or the Casimir quantities $C$ in the Lie-Poisson formulation. The dissipated quantity (energy or Casimir, respectively) is shown to decrease in time until the modified system reaches an equilibrium state consistent with ideal energy-Casimir equilibria, namely $delta(h+C)=0$. The result holds for Lie-Poisson equations in general, independently of the Lie algebra and the choice of Casimir. This selective decay process is illustrated with a number of examples in 2D and 3D magnetohydrodynamics (MHD)." @default.
• W1787128963 created "2016-06-24" @default.
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• W1787128963 date "2013-10-16" @default.
• W1787128963 modified "2023-10-18" @default.
• W1787128963 title "Selective decay in fluids with advected quantities: MHD and Hall MHD" @default.
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