Addendum to "Coherent Lagrangian vortices: The black holes of turbulence"
arXiv:1406.1493 · doi:10.1017/jfm.2014.441
Abstract
In Haller and Beron-Vera (2013) we developed a variational principle for the detection of coherent Lagrangian vortex boundaries. The solutions of this variational principle turn out to be closed null-geodesics of the Lorentzian metric associated with a generalized Green-Lagrange strain tensor family. This metric interpretation implies a mathematical analogy between coherent Lagrangian vortex boundaries and photon spheres in general relativity. Here we give an improved discussion on this analogy.
arXiv commentRevised 27 June 2014
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