Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Long-time behavior for three dimensional compressible viscous and
  heat-conductive gases   We study the large-time behavior of solutions to the compressible
Navier-Stokes equations for a viscous and heat-conductive gases in
$\mathbb{R}^3$. More precisely, under a suitable additional condition involving
only the low frequencies of the initial data, we exhibit the optimal time decay
rates for the constructed global solutions. The proof relies on some new energy
arguments developed by Xin and Xu [39] for the compressible Navier-Stokes
equations.

25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat