Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local Axisymmetric Instability Criterion in the Thin, Rotating,
  Multicomponent Disk   Purely gravitational perturbations are considered in a thin rotating disk
composed of several gas and stellar components. The dispersion relation for the
axisymmetric density waves propagating through the disk is found and the
criterion for the local axisymmetric stability of the whole system is
formulated. In the appropriate limit of two-component gas we confirm the
findings of Jog & Solomon (1984) and extend consideration to the case when one
component is collisionless. Gravitational stability of the Galactic disk in the
Solar neighborhood based on the multicomponent instability condition is
explored using recent measurements of the stellar composition and kinematics in
the local Galactic disk obtained by Hipparcos satellite.

23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc