Milan Journal of Mathematics

, Volume 75, Issue 1, pp 177–196 | Cite as

Knots and Unknots in Superfluid Turbulence

Article

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.

Mathematics Subject Classification (2000).

76B47 37B99 

Keywords.

Vortex superfluid helium topological fluid dynamics 

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Copyright information

© Birkhaueser 2007

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsUniversity of NewcastleNewcastle upon TyneUK

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