On a model of rotating superfluids
École Normale Supérieure de Cachan,
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Revised: 28 November 2000
We consider an energy-functional describing rotating superfluids at a rotating velocity ω, and prove similar results as for the Ginzburg-Landau functional of superconductivity: mainly the existence of branches of solutions with vortices, the existence of a critical ω above which energy-minimizers have vortices, evaluations of the minimal energy as a function of ω, and the derivation of a limiting free-boundary problem.
Mathematics Subject Classification: 35Q99 / 35J60 / 35J50 / 35B40 / 35B25
Key words: Vortices / Gross-Pitaevskii equations / superfluids.
© EDP Sciences, SMAI, 2001