Vortex flows on closed surfaces

A. Bogatskiy

doi:10.1088/1751-8121/ab4e6a

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arXiv · 1903.07607

Vortex flows on closed surfaces

A. Bogatskiy

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Abstract

We investigate the bulk hydrodynamics of the chiral vortex matter on an arbitrary closed surface, extending the ideas of [20, 41]. Placing this important example of a chiral medium onto a curved geometry reveals the geometric nature of odd viscosity. The anomalous odd viscosity of the vortex matter is associated with a special interaction of point vortices with curvature.

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A. Bogatskiy. 2019-03-18. Vortex flows on closed surfaces. https://doi.org/10.1088/1751-8121/ab4e6a

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