Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotics of the three dimensional Vlasov equation in the large
  magnetic field limit   We study the asymptotic behavior of solutions to the Vlasov equation in the
presence of a strong external magnetic field. In particular we provide a
mathematically rigorous derivation of the guiding-center approximation in the
general three dimensional setting under the action of large inhomogeneous
magnetic fields. First order corrections are computed and justified as well,
including electric cross field, magnetic gradient and magnetic curvature
drifts. We also treat long time behaviors on two specific examples, the two
dimensional case in carte-sian coordinates and a poloidal axi-symmetric
geometry, the former for expository purposes. Algebraic manipulations that
underlie concrete computations make the most of the linearity of the stiffest
part of the system of characteristics instead of relying on any particular
variational structure.

15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an