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arXiv · 1406.1493

Addendum to "Coherent Lagrangian vortices: The black holes of turbulence"

G. Haller·F. J. Beron-Vera
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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.

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G. Haller, F. J. Beron-Vera. 2014-07-08. Addendum to "Coherent Lagrangian vortices: The black holes of turbulence". https://doi.org/10.1017/jfm.2014.441

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