Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-similar solution of the subsonic radiative heat equations using a
  binary equation of state   Radiative subsonic heat waves, and their radiation driven shock waves, are
important hydro-radiative phenomena. The high pressure, causes hot matter in
the rear part of the heat wave to ablate backwards. At the front of the heat
wave, this ablation pressure generates a shock wave which propagates ahead of
the heat front. Although no self-similar solution of both the ablation and
shock regions exists, a solution for the full problem was found in a previous
work. Here, we use this model in order to investigate the effect of the
equation of state (EOS) on the propagation of radiation driven shocks. We find
that using a single ideal gas EOS for both regions, as used in previous works,
yields large errors in describing the shock wave. We use the fact that the
solution is composed of two different self-similar solutions, one for the
ablation region and one for the shock, and apply two ideal gas EOS
(binary-EOS), one for each region, by fitting a detailed tabulated EOS to power
laws at different regimes. By comparing the semi-analytic solution with a
numerical simulation using a full EOS, we find that the semi-analytic solution
describes both the heat and the shock regions well.

11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs