Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Supersonic-subsonic transition region in radiative heat flow via
  self-similar solutions   We study the radiative hydrodynamics flow of Marshak waves in hot dense
plasmas, using approximate self-similar solutions. Specifically, we have
focused on the intermediate regime between pure radiative supersonic flow and
the pure subsonic regime. These two regimes were investigated both using exact
self-similar solutions and numerical simulations, however, most of the study
used numerical simulations, mainly because the radiative heat wave and the
shock regions are not self-similar altogether. In a milestone work [J. Garnier
et al., Phys. Plas., 13, 092703 (2006)], it was found that for a specific power
law dependency temperature profile, a unique exact self-similar solution
exists, that is valid for all physical regimes. In this work we approximate
Garnier's exact solution for a general power-law temperature-dependency, using
simple analytical considerations. This approximate solution yields a good
agreement compared to numerical simulations for the different thermodynamic
profiles within the expected range of validity. In addition, we offer an
approximate solution for the energies absorbed in the matter, again, for a
general power-law temperature profile. Our approximate self-similar solution
for the energy yields very good results comparing to exact numerical
simulations for both gold and $\mathrm{Ta_2O_5}$. We also set a comparison of
our self-similar solutions with the results of an experiment for radiation
temperature measurement in a hohlraum in low-density foams that is addressed
directly, to the intermediate regime, yielding a good agreement and similar
trends. The different models as well as the numerical simulations are powerful
tools to analyze the supersonic-subsonic transition region.

26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph