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Addendum to ‘Coherent Lagrangian vortices: the black holes of turbulence’

  • G. Haller (a1) and F. J. Beron-Vera (a2)

Abstract

In Haller & Beron-Vera (J. Fluid Mech., vol. 731, 2013, R4) 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 induced by 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 of this analogy.

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Email address for correspondence: georgehaller@ethz.ch

References

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Beem, J. K., Ehrlich, P. L. & Kevin, L. E. 1996 Global Lorentzian Geometry. CRC Press.
Claudel, C.-M., Virbhadra, K. S. & Ellis, G. F. R. 2001 The geometry of photon surfaces. J. Math. Phys. 42, 818838.
Haller, G. & Beron-Vera, F. J. 2013 Coherent Lagrangian vortices: the black holes of turbulence. J. Fluid Mech. 731, R4.
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Addendum to ‘Coherent Lagrangian vortices: the black holes of turbulence’

  • G. Haller (a1) and F. J. Beron-Vera (a2)

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