On the Ginzburg–Landau model of a superconducting ball in a uniform field
Stan Alama, Lia Bronsard, J. Alberto Montero (2006)
Annales de l'I.H.P. Analyse non linéaire
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Stan Alama, Lia Bronsard, J. Alberto Montero (2006)
Annales de l'I.H.P. Analyse non linéaire
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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...
Dongho Chae, Gabriella Tarantello (2004)
Annales de l'I.H.P. Analyse non linéaire
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Kwangseok Choe, Namkwon Kim (2008)
Annales de l'I.H.P. Analyse non linéaire
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Alexey Filinovskiy (2011)
Mathematica Bohemica
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We investigate the spectral properties of the differential operator , with the Dirichlet boundary condition in unbounded domains whose boundaries satisfy some geometrical condition. Considering this operator as a self-adjoint operator in the space with the norm , we study the structure of the spectrum with respect to the parameter . Further we give an estimate of the rate of condensation of discrete spectra when it changes to continuous.