Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global strong solutions to the compressible Navier-Stokes system with
  potential temperature transport   We study the global strong solutions to the compressible Navier-Stokes system
with potential temperature transport in $\mathbb{R}^n.$ Different from the
Navier-Stokes-Fourier system, the pressure is a nonlinear function of the
density and the potential temperature, we can not exploit the special
quasi-diagonalization structure of this system to capture any dissipation of
the density. Some new idea and delicate analysis involved in high or low
frequency decomposition in the Besov spaces have to be made to close the energy
estimates.

27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th