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On a model of rotating superfluids

Published online by Cambridge University Press:  15 August 2002

Sylvia Serfaty
Sylvia Serfaty*
Affiliation:
CMLA, École Normale Supérieure de Cachan, 61 avenue du Président Wilson, 94235 Cachan Cedex, France; serfaty@cmla.ens-cachan.fr.
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Abstract

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.

Keywords

VorticesGross-Pitaevskii equationssuperfluids.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 6 , 2001 , pp. 201 - 238
Copyright
© EDP Sciences, SMAI, 2001

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