Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Few-Particle Vortex Cluster Equilibria in Bose-Einstein Condensates:
  Existence and Stability   Motivated by recent experimental and theoretical studies of fewparticle
vortex clusters in Bose-Einstein condensates, we consider the ordinary
differential equations of motion and systematically examine settings for up to
N = 6 vortices. We analyze the existence of corresponding stationary state
configurations and also consider their spectral stability properties. We
compare our particle model results with the predictions of the full partial
differential equation system. Whenever possible, we propose generalizations of
these results in the context of clusters of N vortices. Some of these, we can
theoretically establish, especially so for the N-vortex polygons, while others
we state as conjectures, e.g. for the N-vortex line equilibrium.

15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
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