| Issue |
ESAIM: COCV
Volume 6, 2001
|
|
|---|---|---|
| Page(s) | 201 - 238 | |
| DOI | https://doi.org/10.1051/cocv:2001108 | |
| Published online | 15 August 2002 | |
On a model of rotating superfluids
CMLA,
École Normale Supérieure de Cachan,
61 avenue du Président Wilson,
94235 Cachan Cedex, France; serfaty@cmla.ens-cachan.fr.
Received:
1
February
2000
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
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