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gross-pitaevskii equations

ESAIM: Control, Optimisation and Calculus of Variations (1)

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On a model of rotating superfluids
Sylvia Serfaty
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 6 / 2001

Published online by Cambridge University Press:

15 August 2002, pp. 201-238

Print publication:

2001
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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.