Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Evolution of initially localized perturbations in stratified ionized
  disks   A detailed solution of an initial value problem of a vertically localized
initial perturbation in rotating magnetized vertically stratified disk is
presented. The appropriate linearized MHD equations are solved by employing the
WKB approximation and the results are verified numerically. The
eigenfrequencies as well as eigenfunctions are explicitly obtained. It is
demonstrated that the initial perturbation remains confined within the disk. It
is further shown that thin enough disks are stable but as their thickness grows
increasing number of unstable modes participate in the solution of the initial
value problem. However it is demonstrated that due to the localization of the
initial perturbation the growth time of the instability is significantly longer
than the calculated inverse growth rate of the individual unstable
eigenfunctions.

18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin