# On a model of rotating superfluids

ESAIM: Control, Optimisation and Calculus of Variations (2001)

- Volume: 6, page 201-238
- ISSN: 1292-8119

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topSerfaty, Sylvia. "On a model of rotating superfluids." ESAIM: Control, Optimisation and Calculus of Variations 6 (2001): 201-238. <http://eudml.org/doc/90590>.

@article{Serfaty2001,

abstract = {We consider an energy-functional describing rotating superfluids at a rotating velocity $\omega $, 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 $\omega $ above which energy-minimizers have vortices, evaluations of the minimal energy as a function of $\omega $, and the derivation of a limiting free-boundary problem.},

author = {Serfaty, Sylvia},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {vortices; Gross-Pitaevskii equations; superfluids; Gross-Pitaevskij equation; energy functional; rotating superfluids},

language = {eng},

pages = {201-238},

publisher = {EDP-Sciences},

title = {On a model of rotating superfluids},

url = {http://eudml.org/doc/90590},

volume = {6},

year = {2001},

}

TY - JOUR

AU - Serfaty, Sylvia

TI - On a model of rotating superfluids

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2001

PB - EDP-Sciences

VL - 6

SP - 201

EP - 238

AB - We consider an energy-functional describing rotating superfluids at a rotating velocity $\omega $, 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 $\omega $ above which energy-minimizers have vortices, evaluations of the minimal energy as a function of $\omega $, and the derivation of a limiting free-boundary problem.

LA - eng

KW - vortices; Gross-Pitaevskii equations; superfluids; Gross-Pitaevskij equation; energy functional; rotating superfluids

UR - http://eudml.org/doc/90590

ER -

## References

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