Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linearized fluid/gravity correspondence: from shear viscosity to all
  order hydrodynamics   In ref. \cite{1406.7222}, we reported a construction of all order linearized
fluid dynamics with strongly coupled $\mathcal{N}=4$ super-Yang-Mills theory as
underlying microscopic description. The linearized fluid/gravity correspondence
makes it possible to resum all order derivative terms in the fluid stress
tensor. Dissipative effects are fully encoded by the shear term and a new one,
emerging starting from third order in hydrodynamic derivative expansion. In
this work, we provide all computational details omitted in \cite{1406.7222} and
present additional results. We derive closed-form linear holographic RG
flow-type equations for momenta-dependent transport coefficient functions.
Generalized Navier-Stokes equations are shown to emerge from the constraint
components of the bulk Einstein equations. We perturbatively solve the RG
equations for the viscosity functions, up to third order in derivative
expansion, and up to this order compute spectrum of small fluctuations.
Finally, we solve the RG equations numerically, thus accounting for all order
derivative terms in the boundary stress tensor.

34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
9
The categories of this paper are: nlin