Local minimizers with vortex filaments for a Gross-Pitaevsky functional
Robert L. Jerrard (2007)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper gives a rigorous derivation of a functional proposed by Aftalion and Rivière [ (2001) 043611] to characterize the energy of vortex filaments in a rotationally forced Bose-Einstein condensate. This functional is derived as a -limit of scaled versions of the Gross-Pitaevsky functional for the wave function of such a condensate. In most situations, the vortex filament energy functional is either unbounded below or has only trivial minimizers, but we establish...