Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sonic-supersonic solutions for the two-dimensional steady full Euler
  equations   This paper focuses on the structure of classical sonic-supersonic solutions
near sonic curves for the two-dimensional full Euler equations in gas dynamics.
In order to deal with the parabolic degeneracy near the sonic curve, a novel
set of dependent and independent variables are introduced to transform the
Euler equations into a new system of governing equations which displays a clear
regularity-singularity structure. With the help of technical characteristic
decompositions, the existence of a local smooth solution for the new system is
first established in a weighted metric space by using the iteration method and
then expressed in terms of the original physical variables. This is the first
time to construct a classical sonic-supersonic solution near a sonic curve for
the full Euler equations.

6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys