Recent Developments in Integrable Curve Dynamics

  title={Recent Developments in Integrable Curve Dynamics},
  author={Annalisa Calini},
The dynamics of vortex laments has provided for almost a century one of the most interesting connections between diierential geometry and integrable equations, and an example in which knotted curves arise as solutions of diierential equations possessing remarkably rich geometrical structures. In this paper we present several aspects of the integrable evolution of a closed vor-tex lament in an Eulerian uid. Starting with the derivation of the equations from an idealised physical model, we… CONTINUE READING
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