Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Remark on the global existence of a third order dispersive flow into
  locally Hermitian symmetric spaces   We prove global existence of solutions to the initial value problem for a
third order dispersive flow into compact locally Hermitian symmetric spaces.
The equation we consider generalizes two-sphere-valued completely integrable
systems modelling the motion of vortex filament. Unlike one-dimensional
Schr\"odinger maps, our third order equation is not completely integrable under
the curvature condition on the target manifold in general. The idea of our
proof is to exploit two conservation laws and an energy which is not
necessarily preserved in time but does not blow up in finite time.

1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph