Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Nonlinear Future-Stability of the FLRW Family of Solutions to the
  Euler-Einstein System with a Positive Cosmological Constant   In this article, we study small perturbations of the family of
Friedmann-Lema\^itre-Robertson-Walker cosmological background solutions to the
1 + 3 dimensional Euler-Einstein system with a positive cosmological constant.
These background solutions describe an initially uniform quiet fluid of
positive energy density evolving in a spacetime undergoing accelerated
expansion. Our nonlinear analysis shows that under the equation of state
pressure = c_s^2 * energy density, with 0 < c_s^2 < 1/3, the background
solutions are globally future-stable. In particular, we prove that the
perturbed spacetime solutions, which have the topological structure [0,infty) x
T^3, are future causally geodesically complete. These results are extensions of
previous results derived by the author in a collaboration with I. Rodnianski,
in which the fluid was assumed to be irrotational. Our novel analysis of a
fluid with non-zero vorticity is based on the use of suitably-defined energy
currents.

26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn