Helicity and singular structures in fluid dynamics.

  title={Helicity and singular structures in fluid dynamics.},
  author={H K Moffatt},
  journal={Proceedings of the National Academy of Sciences of the United States of America},
  volume={111 10},
Helicity is, like energy, a quadratic invariant of the Euler equations of ideal fluid flow, although, unlike energy, it is not sign definite. In physical terms, it represents the degree of linkage of the vortex lines of a flow, conserved when conditions are such that these vortex lines are frozen in the fluid. Some basic properties of helicity are reviewed, with particular reference to (i) its crucial role in the dynamo excitation of magnetic fields in cosmic systems; (ii) its bearing on the… CONTINUE READING


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