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- W2091394593 abstract "A shear flow in a plasma brings about the non-Hermitian property, thereby invalidating the standard normal-mode analysis or energy principle for the study of stability. The Arnold method is an effective way to analyze the stability of a shear flow system. This method can give a Lyapunov stability condition to a relaxed state of two-dimensional flow or one-fluid magnetohydrodynamics (MHD). However, the Arnold method is not valid if the functional, whose first variation characterizes the relaxed (self-organized) state, is not a coercive (convex) form. Since the functional of the two-fluid MHD is not a coercive form, the stability analysis of such a flow requires a certain stronger (more coercive) constant, which corresponds to an enstrophy order constant. However, the enstrophy is not generally a constant. For a special class of two-fluid MHD flows, an enstrophy order constant can be found and a Lyapunov function that bounds the norm of all possible perturbations can be constructed." @default.
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- W2091394593 date "2003-10-01" @default.
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- W2091394593 title "Lyapunov function of relaxed states in two-fluid plasmas: Stability of double-Beltrami flows" @default.
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- W2091394593 doi "https://doi.org/10.1063/1.1606448" @default.
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