The relativistically covariant theory of two-constituent superfluid dynamics that was derived by the convective variational approach (a specialization of the formalism developed for the covariant treatment of elastic media) is found to agree precisely, in the nondissipative limit, with the theory that was derived independently using a potential variational principle (a generalization of the classical Clebsch formalism).
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Carter et al. (1992) studied this question.
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