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Knots and Unknots in Superfluid Turbulence

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Abstract.

The study of vortex lines in a inviscid, incompressible Euler fluid dates back to the times of Lord Kelvin. Vortex lines are highly idealised mathematical objects which at first sight do not seem relevant to vortices and turbulence in real fluids. In this article I show that superfluid vortices are good physical realizations of these classical mathematical objects, and provide us with a convenient context to investigate topological aspects of turbulence.

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Authors and Affiliations

  1. School of Mathematics and Statistics, University of Newcastle, Newcastle upon Tyne, NE1 7RU, UK

    Carlo F. Barenghi

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  1. Carlo F. Barenghi
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Correspondence to Carlo F. Barenghi.

Additional information

Lecture held in the Seminario Matematico e Fisico on April 10, 2006

Received: March 2007

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Barenghi, C.F. Knots and Unknots in Superfluid Turbulence. Milan j. math. 75, 177–196 (2007). https://doi.org/10.1007/s00032-007-0069-5

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  • DOI: https://doi.org/10.1007/s00032-007-0069-5

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