Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear stability of the Couette flow in the 3D isentropic compressible
  Navier-Stokes equations   Consider the linear stability of the three dimensional isentropic
compressible Navier-Stokes equations on
$\mathbb{T}\times\mathbb{R}\times\mathbb{T}$. We prove the enhanced dissipation
phenomenon for the linearized isentropic compressible Navier-Stokes equations
around the Couette flow $(y, 0, 0)^\top$. Moreover, the lift-up phenomenon is
also shown in this paper. Compared with the 3D incompressible Navier-Stokes
equations [Ann. of Math.,185(2017), 541--608], the lift-up effect here is
stronger due to the loss of the incompressible condition.

30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
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The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: alg-geom