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.
Mots-clés : 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://www.numdam.org/item/COCV_2001__6__201_0/}
}
Serfaty, Sylvia. On a model of rotating superfluids. ESAIM: Control, Optimisation and Calculus of Variations, Tome 6 (2001), pp. 201-238. http://www.numdam.org/item/COCV_2001__6__201_0/
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