Vortex simulations on a 3-sphere

We study vortex motion using a Hopf flow on a 3-sphere, in place of the standard 3-torus defined by periodic boundary conditions. Although both of these underlying manifolds look locally like R^{3}, the vortex behavior differs significantly. This raises the question of how well calculations on the 3...

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Bibliographic Details
Main Authors: O. M. Dix, R. J. Zieve
Format: Article
Language:English
Published: American Physical Society 2019-12-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.1.033201