Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: High Mach number limit of one-dimensional piston problem for
  non-isentropic compressible Euler equations: Polytropic gas   We study high Mach number limit of the one dimensional piston problem for the
full compressible Euler equations of polytropic gas, for both cases that the
piston rushes into or recedes from the uniform still gas, at a constant speed.
There are two different situations, and one needs to consider measure solutions
of the Euler equations to deal with concentration of mass on the piston, or
formation of vacuum. We formulate the piston problem in the framework of Radon
measure solutions, and show its consistency by proving that the integral weak
solutions of the piston problems converge weakly in the sense of measures to
(singular) measure solutions of the limiting problems, as the Mach number of
the piston increases to infinity.

17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th