Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of a finite volume scheme for the compressible
  Navier--Stokes system   We study convergence of a finite volume scheme for the compressible
(barotropic) Navier--Stokes system. First we prove the energy stability and
consistency of the scheme and show that the numerical solutions generate a
dissipative measure-valued solution of the system. Then by the dissipative
measure-valued-strong uniqueness principle, we conclude the convergence of the
numerical solution to the strong solution as long as the latter exists.
Numerical experiments for standard benchmark tests support our theoretical
results.

21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat