Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence and stability of partially congested propagation fronts in a
  one-dimensional Navier-Stokes model   In this paper, we analyze the behavior of viscous shock profiles of
one-dimensional compressible Navier-Stokes equations with a singular pressure
law which encodes the effects of congestion. As the intensity of the singular
pressure tends to 0, we show the convergence of these profiles towards
free-congested traveling front solutions of a two-phase
compressible-incompressible Navier-Stokes system and we provide a refined
description of the profiles in the vicinity of the transition between the free
domain and the congested domain. In the second part of the paper, we prove that
the profiles are asymptotically nonlinearly stable under small perturbations
with zero integral, and we quantify the size of the admissible perturbations in
terms of the intensity of the singular pressure.

11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics