Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rossby Wave Instability in three dimensional discs   The Rossby wave instability (RWI) is a promising mechanism for producing
large-scale vortices in protoplanetary discs. The instability operates around a
density bump in the disc, and the resulting vortices may facilitate
planetesimal formation and angular momentum transfer in the disc dead zone.
Most previous works on the RWI deal with two-dimensional (height-integrated)
discs. However, vortices may have different dynamical behaviours in 3D than in
2D. Recent numerical simulations of the RWI in 3D global discs by Meheut et al.
have revealed intriguing vertical structure of the vortices, including
appreciable vertical velocities. In this paper we present a linear analysis of
the RWI in 3D global models of isothermal discs. We calculate the growth rates
of the Rossby modes (of various azimuthal wave numbers m = 2 - 6) trapped
around the fiducial density bump and carry out 3D numerical simulations to
compare with our linear results. We show that the 3D RWI growth rates are only
slightly smaller than the 2D growth rates, and the velocity structures seen in
the numerical simulations during the linear phase are in agreement with the
velocity eigenfunctions obtained in our linear calculations. This numerical
benchmark shows that numerical simulations can accurately describe the
instability. The angular momentum transfer rate associated with Rossby vortices
is also studied.

25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th