Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic stability of wave patterns to compressible viscous and
  heat-conducting gases in the half space   We study the large-time behavior of solutions to the compressible
Navier-Stokes equations for a viscous and heat-conducting ideal polytropic gas
in the one-dimensional half-space. A rarefaction wave and its superposition
with a non-degenerate stationary solution are shown to be asymptotically stable
for the outflow problem with large initial perturbation and general adiabatic
exponent.

21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th