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arXiv · 0710.3002

Rigorous derivation of the hydrodynamical equations for rotating superfluids

Hailiang Liu·Christof Sparber
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Abstract

Using a modified WKB approach, we present a rigorous semi-classical analysis for solutions of nonlinear Schroedinger equations with rotational forcing. This yields a rigorous justification for the hydrodynamical system of rotating superfluids. In particular it is shown that global-in-time semi-classical convergence holds whenever the limiting hydrodynamical system has global smooth solutions and we also discuss the semi-classical dynamics of several physical quantities describing rotating superfluids.

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Hailiang Liu, Christof Sparber. 2007-10-16. Rigorous derivation of the hydrodynamical equations for rotating superfluids. https://arxiv.org/abs/0710.3002

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