Rigorous derivation of the hydrodynamical equations for rotating superfluids
Analysis of PDEs
2010-09-03 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.0710.3002,
title = {Rigorous derivation of the hydrodynamical equations for rotating superfluids},
author = {Hailiang Liu and Christof Sparber},
journal= {arXiv preprint arXiv:0710.3002},
year = {2010}
}
Comments
to appear in Math. Mod. Methods Appl. Sci