Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The well-posedness of the compressible non-isentropic Euler-Maxwell
  system in R^3   We first construct the global unique solution by assuming that the initial
data is small in the $H^3$ norm but the higher order derivatives could be
large. If further the initial data belongs to $\Dot{H}^{-s}$ ($0\le s<3/2$) or
$\dot{B}_{2,\infty}^{-s}$ ($0< s\le3/2$), we obtain the various decay rates of
the solution and its higher order derivatives. In particular, the decay rates
of the density and temperature of electron could reach to $(1+t)^{-13/4}$ in
$L^2$ norm.

28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph