Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stationary and static stellar dynamic models with axial symmetry   We study the existence of stationary solutions of the Vlasov-Poisson system
with finite radius and finite mass in the stellar dynamics case. So far, the
existence of such solutions is known only under the assumption of spherical
symmetry. Using the implicit function theorem we show that certain stationary,
spherically symmetric solutions can be embedded in one parameter families of
stationary, axially symmetric solutions with finite radius and finite mass. In
general, these new steady states have non-vanishing average velocity field, but
they can also be constructed such that their velocity field does vanish, in
which case they are called static.

16
The categories of this paper are: stat
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs