Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear instability analysis on compressible Navier-Stokes equations with
  strong boundary layer   It is a classical problem in fluid dynamics about the stability and
instability of different hydrodynamic patterns in various physical settings, in
particular in the high Reynolds number limit of laminar flow with boundary
layer. However, there are very few mathematical results on the compressible
fluid despite the extensive studies when the fluid is governed by the
incompressible Navier-Stokes equations. This paper aims to introduce a new
approach to study the compressible Navier-Stokes equations in the subsonic and
high Reynolds number regime where a subtle quasi-compressible and Stokes
iteration is developed. As a byproduct, we show the spectral instability of
subsonic boundary layer.

31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn