Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear Stability of Large Amplitude Viscous Shock Wave for General
  Viscous Gas   In the present paper, it is shown that the large amplitude viscous shock wave
is nonlinearly stable for isentropic Navier-Stokes equations, in which the
pressure could be general and includes $\gamma$-law, and the viscosity
coefficient is a smooth function of density. The strength of shock wave could
be arbitrarily large. The proof is given by introducing a new variable, which
can formulate the original system into a new one, and the elementary energy
method introduced in Matsumura-Nishihara [On the stability of travelling wave
solutions of a one-dimensional model system for compressible viscous gas. Japan
J. Appl. Math. 2 (1985), no. 1, 17-25.].

29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat