Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global classical solutions to the compressible Euler-Maxwell equations   In this paper, we consider the compressible Euler-Maxwell equations arising
in semiconductor physics, which take the form of Euler equations for the
conservation laws of mass density and current density for electrons, coupled to
Maxwell's equations for self-consistent electromagnetic field. We study the
global well-posedness in critical spaces and the limit to zero of some physical
parameters in the scaled Euler-Maxwell equations. More precisely, using high-
and low-frequency decomposition methods, we first construct uniform (global)
classical solutions (around constant equilibrium) to the Cauchy problem of
Euler-Maxwell equations in Chemin-Lerner's spaces with critical regularity.
Furthermore, based on Aubin-Lions compactness lemma, it is justified that the
(scaled) classical solutions converge globally in time to the solutions of
compressible Euler-Poisson equations in the process of non-relativistic limit
and to that of drift-diffusion equations under the relaxation limit or the
combined non-relativistic and relaxation limits.

29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph