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Original
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S. Bhattacharyya, V. E. Hubeny, S. Minwalla, and M. Rangamani, Nonlinear Fluid Dynamics from Gravity
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S. Bhattacharyya, V. E. Hubeny, R. Loganayagam, G. Mandal, S. Minwalla, T. Morita, M. Rangamani, and H. S. Reall, Local Fluid Dynamical Entropy from Gravity
Original
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Then

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S. Bhattacharyya, A. De, S. Minwalla, R. Mohan, and A. Saha, A membrane paradigm at large D
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2016

Currents and Radiation from the large $D$ Black Hole Membrane

Bhattacharyya, Sayantani, Mandal, Anup Kumar, Mandlik, Mangesh et al.

Understand

It has recently been demonstrated that black hole dynamics in a large number of dimensions $D$ reduces to the dynamics of a codimension one membrane propagating in flat space.

In this paper we define a stress tensor and charge current on this membrane and explicitly determine these currents at low orders in the expansion in $\frac{1}{D}$.
We demonstrate that dynamical membrane equations of motion derived in earlier work are simply conservation equations for our stress tensor and charge current.
Through the paper we focus on solutions of the membrane equations which vary on a time scale of order unity.