Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic solutions for the one-dimensional compressible Euler equation
  with heat conduction closed with different kind of equation of states   We present analytic self-similar or traveling wave solutions for a
one-dimensional coupled system of continuity, compressible Euler and heat
conduction equations. Different kind of equation of states are investigated. In
certain forms of the equation of state one can arrive to a picture regarding
the long time behavior of density and pressure. The impact of these quantities
on the evolution of temperature is also discussed.

5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn