Abstract
Weber’s transformation is used to show how Lin’s constraint should be replaced if fluid equations are derived from Hamilton’s principle. The same technique is used to derive a three-circulation theorem and a generalization of Ertel’s theorem for perfect multifluid plasmas. The Hamiltonian and Lagrangian formulation of the equations for fluid and electromagnetic potentials is given, with a discussion of their multivaluedness and their gauge and time dependence for static magnetohydrodynamic equilibria. The linear stability of these equilibria is shown to depend on the weight of a single negative eigenvalue of the internal energy variation, compared with all other (positive) contributions to the ‘‘energy’’ functional.
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