Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The stability of vortices in gas on the $l$-plane: the influence of
  centrifugal force   We show that a small correction due to centrifugal force usually neglected in
the $l$-plane model of atmosphere drastically influences on the stability of
vortices. Namely, in the presence of the Coriolis force only there exists a
wide range of parameter ensuring nonlinear stability of a vortex with uniform
deformation. Taking into account the centrifugal force results in a
disappearance of stable vortices in the above-mentioned class of motions. We
also prove that for the heat ratio $\gamma=2$, corresponding to the one-atomic
gas, the system of equations, describing the gas on the $l$-plane with the
correction due to centrifugal force can be integrated in a special case.

36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat