Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Derivation of Ohm's law from the kinetic equations   The goal of this article is to give a formal derivation of Ohm's law of
Magnetohydrodynamics (MHD) starting from the Vlasov-Maxwell-Boltzmann system.
The derivation is based on various physical scalings and the moment methods
when the Knudsen number goes to zero. We also give a derivation of the
so-called Hall effect as well as other limit models such as the
Navier-Stokes-Maxwell system.
  Our results include both the compressible and incompressible MHD models.

23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom