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Sylvia Serfaty (2001)
ESAIM: Control, Optimisation and Calculus of Variations
We consider an energy-functional describing rotating superfluids at a rotating velocity , 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 above which energy-minimizers have vortices, evaluations of the minimal energy as a function of , and the derivation of a limiting free-boundary problem.
Sylvia Serfaty (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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.
f. bethuel, r. l. jerrard, d. smets (2008)
Revista Matemática Iberoamericana
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