Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The dynamics of vortex lines in the three-dimensional complex
  Ginzburg-Landau equation: instability, stretching, entanglement, and helices   The dynamics of curved vortex filaments is studied analytically and
numerically in the framework of a three-dimensional complex Ginzburg-Landau
equation (CGLE). It is shown that a straight vortex line is unstable with
respect to spontaneous stretching and bending in a substantial range of
parameters of the CGLE, resulting in formation of persistent entangled vortex
configurations. The boundary of the three-dimensional instability in parameter
space is determined. Near the stability boundary, the supercritical saturation
of the instability is found, resulting in the formation of stable helicoidal
vortices.

27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn