Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Vanishing of some D-solutions to the Stationary
  Magnetohydrodynamics System   In this paper, we study the stationary magnetohydrodynamics system in
$\mathbb{R}^2\times\mathbb{T}$. We prove trivialness of D-solutions (the
velocity field $u$ and the magnetic field $h$) when they are swirl-free.
Meanwhile, this Liouville type theorem also holds provided $u$ is swirl-free
and $h$ is axially symmetric, or both $u$ and $h$ are axially symmetric. Our
method is also valid for certain related boundary value problems in the slab
$\mathbb{R}^2\times[-\pi,\,\pi]$.

13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys