Geodesic
On a model of rotating superfluids
ESAIM: Control, Optimisation and Calculus of Variations, Tome 6 (2001), pp. 201-238

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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.

Classification : 35Q99, 35J60, 35J50, 35B40, 35B25
Keywords: vortices, Gross-Pitaevskii equations, superfluids 
@article{COCV_2001__6__201_0,
     author = {Serfaty, Sylvia},
     title = {On a model of rotating superfluids},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {201--238},
     publisher = {EDP-Sciences},
     volume = {6},
     year = {2001},
     mrnumber = {1816073},
     zbl = {0964.35142},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/COCV_2001__6__201_0/}
}
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Serfaty, Sylvia. On a model of rotating superfluids. ESAIM: Control, Optimisation and Calculus of Variations, Tome 6 (2001), pp. 201-238. http://geodesic.mathdoc.fr/item/COCV_2001__6__201_0/