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- W2076134838 abstract "We establish the existence of rotating solutions to the Gross-Pitaevskii equation documentclass[12pt]{minimal}begin{document}$iU_t=Delta U + frac{1}{varepsilon ^2}(1-|U|^2)U$end{document}iUt=ΔU+1ɛ2(1−|U|2)Uposed on S2, that is for documentclass[12pt]{minimal}begin{document}$U:S^2times mathbb {R}rightarrow mathbb {C}.$end{document}U:S2×R→C. 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 ɛ ≪ 1. 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." @default.
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- W2076134838 date "2012-08-01" @default.
- W2076134838 modified "2023-10-18" @default.
- W2076134838 title "Rotating 2N-vortex solutions to the Gross-Pitaevskii equation onS2" @default.
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- W2076134838 doi "https://doi.org/10.1063/1.4739748" @default.
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