Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Periodic perturbations of a composite wave of two viscous shocks for 1-D
  full compressible Navier-Stokes equations   This paper is concerned with the asymptotic stability of a composite wave of
two viscous shocks under spatially periodic perturbations for the 1-D full
compressible Navier-Stokes equations. It is proved that as time increases, the
solution approaches the background composite wave with a shift for each shock,
where the shifts can be uniquely determined if both the periodic perturbations
and strengths of two shocks are small. The key of the proof is to construct a
suitable ansatz such that the anti-derivative method works.

30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol