Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lagrangian Structure for Compressible Flow in the Half-space with the
  Navier Boundary Condition   We show the uniqueness of particle paths of a velocity field, which solves
the compressible isentropic Navier-Stokes equations in the half-space
$\mathbb{R}_+^3$ with the Navier boundary condition. In particular, by means of
energy estimates and the assumption of small energy we prove that the velocity
field satisfies the necessary regularity needed to prove the uniqueness of
particle paths.

24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn