Rotating 2N-vortex solutions to the Gross-Pitaevskii equation on S^sup 2
We establish the existence of rotating solutions to the Gross-Pitaevskii equation ... on ..., that is for ... These solutions possess vortices that for all time follow the vortex paths of known "relative equilibria" to the point-vortex problem on the two-sphere in the asymptotic regime ......
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| Veröffentlicht in: | Journal of mathematical physics 2012-08, Vol.53 (8), p.1 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We establish the existence of rotating solutions to the Gross-Pitaevskii equation ... on ..., that is for ... These solutions possess vortices that for all time follow the vortex paths of known "relative equilibria" to the point-vortex problem on the two-sphere in the asymptotic regime ... The approach is variational, based on minimization of the Ginzburg-Landau energy subject to a momentum constraint. We also establish orbital stability within a class of symmetric initial data. (ProQuest: ... denotes formulae/symbols omitted.) |
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| ISSN: | 0022-2488 1089-7658 |