Abstract

A Lyapunov functional F for neutral fluids and for multifluid plasmas is found by a canonical transformation of the total Hamiltonian; this transformation is motivated by the requirement that all canonical variables (including Clebsch variables) should be time-independent in a perfect-fluid equilibrium. Then we find δF = 0 for such an equilibrium, and δ 2F ≥ δ 2F ∗ > 0 if the local flow velocity and the Bernoulli function of each fluid component obey certain inequalities (sufficient stability conditions). Implications for dissipative equilibria are also discussed.

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