On the geometry of Gross-Pitaevski vortex curves for generic data
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- by José Alberto Montero and Benjamin K. Stephens PDF
- Proc. Amer. Math. Soc. 141 (2013), 3871-3881 Request permission
Abstract:
We study an energy functional that arises as a $\Gamma$-limit of the Gross-Pitaevskii (GP) energy. This last functional is often used to model rotating Bose-Einstein condensates, and the functional we study represents the contribution to the GP energy of vortices, or whirlpools, in the condensate. For our energy, we give a rough description of its (local) minimizers using ODE techniques along with an isoperimetric inequality.References
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Additional Information
- José Alberto Montero
- Affiliation: Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Vicuña Mackenna 4860, Santiago, Chile
- Email: amontero@mat.puc.cl
- Benjamin K. Stephens
- Affiliation: Department of Mathematics, University of Washington, Seattle, Washington 98195
- Email: bensteph@math.washington.edu
- Received by editor(s): May 3, 2011
- Received by editor(s) in revised form: January 16, 2012
- Published electronically: July 24, 2013
- Communicated by: James E. Colliander
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 3871-3881
- MSC (2010): Primary 49K15
- DOI: https://doi.org/10.1090/S0002-9939-2013-11736-3
- MathSciNet review: 3091776