Necessary and sufficient conditions for exponential stability of equilibria in dissipative fluids are discussed on the basis of energy principles. First, a known maximum principle is reformulated in a manner which is more appropriate for evaluation of actual growth rates. Secondly, complementary variational principles are presented. The latter are quite useful for qualitative estimates and numerical computations since they lead to upper and lower bounds for the exact growth rates. The results are applicable to ideal magnetohydrodynamic (MHD) cases as well as resistive plasmas and also solitary waves.
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Laedke et al. (1982) studied this question.
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