Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence results for compressible radiation hydrodynamics equations
  with vacuum   In this paper, we consider the 3-D compressible isentropic radiation
hydrodynamics (RHD) equations. The local existence of strong solutions with
vacuum is firstly established when the initial data is arbitrarily large,
contains vacuum and satisfy some initial layer compatibility condition. The
initial mass density needs not be bounded away from zero, it may vanish in some
open set or decay at infinity. We also prove that if the initial vacuum is not
so irregular, then the compatibility condition of the initial data is necessary
and sufficient to guarantee the existence of a unique strong solution. Finally,
we prove a blow-up criterion for the local strong solution. The similar result
also holds for the general barotropic flow with pressure law $p_m=p_m(\rho)\in
C^1(\mathbb{\overline{R}}^+)$.

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The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int