Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Hamiltonian interacting particle system for compressible flow   The decomposition of the energy of a compressible fluid parcel into slow
(deterministic) and fast (stochastic) components is interpreted as a stochastic
Hamiltonian interacting particle system (HIPS). It is shown that the
McKean-Vlasov equation associated to the mean field limit yields the barotropic
Navier-Stokes equation with density dependent viscosity. Capillary forces can
also be treated by this approach. Due to the Hamiltonian structure the mean
field system satisfies a Kelvin circulation theorem along stochastic Lagrangian
paths.

22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat