Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Low Mach number limit on thin domains   We consider the compressible Navier-Stokes system describing the motion of a
viscous fluid confined to a straight layer
$\Omega_{\delta}=(0,\delta)\times\mathbb{R}^2$. We show that the weak solutions
in the 3D domain converge strongly to the solution of the 2D incompressible
Navier-Stokes equations (Euler equations) when the Mach number $\epsilon $
tends to zero as well as $\delta\rightarrow 0$ (and the viscosity goes to
zero).

14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
16
The categories of this paper are: stat