An elastic-continuum description of the long-wavelength motion of an infinite vortex lattice provides a model for the dynamics of a rotating superfluid. In the classical limit, the resulting differential equations reproduce the ordinary hydrodynamics of a rotating inviscid fluid; in general, however, they include the lowest-order effects of the quantized vortex array. This formalism is used to calculate certain collective modes of rotating superfluids in cylindrical containers.
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Williams et al. (1977) studied this question.
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