Rigorous derivation of the hydrodynamical equations for rotating superfluids

Details Rigorous derivation of the hydrodynamical equations for rotating superfluids Rigorous derivation of the hydrodynamical equations for rotating superfluids

2007-10-16

arxiv.org/abs/0710.3002v1

Math. Mod. Methods Appl. Sci. Vol 18 (2008), issue 5, pp 689 - 706

Mathematics

Analysis of PDEs

to appear in Math. Mod. Methods Appl. Sci

Scientific paper

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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