On a model of rotating superfluids

Sylvia Serfaty

ESAIM: Control, Optimisation and Calculus of Variations (2010)

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

Abstract

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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.

How to cite

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Serfaty, Sylvia. "On a model of rotating superfluids." ESAIM: Control, Optimisation and Calculus of Variations 6 (2010): 201-238. <http://eudml.org/doc/116573>.

@article{Serfaty2010,
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. },
author = {Serfaty, Sylvia},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Vortices; Gross-Pitaevskii equations; superfluids.; vortices; Gross-Pitaevskij equation; energy functional; rotating superfluids},
language = {eng},
month = {3},
pages = {201-238},
publisher = {EDP Sciences},
title = {On a model of rotating superfluids},
url = {http://eudml.org/doc/116573},
volume = {6},
year = {2010},
}

TY - JOUR
AU - Serfaty, Sylvia
TI - On a model of rotating superfluids
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 6
SP - 201
EP - 238
AB - 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.
LA - eng
KW - Vortices; Gross-Pitaevskii equations; superfluids.; vortices; Gross-Pitaevskij equation; energy functional; rotating superfluids
UR - http://eudml.org/doc/116573
ER -

References

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