Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global Existence and Long-Time Asymptotics for Rotating Fluids in a 3D
  Layer   The Navier-Stokes-Coriolis system is a simple model for rotating fluids,
which allows to study the influence of the Coriolis force on the dynamics of
three-dimensional flows. In this paper, we consider the NSC system in an
infinite three-dimensional layer delimited by two horizontal planes, with
periodic boundary conditions in the vertical direction. If the angular velocity
parameter is sufficiently large, depending on the initial data, we prove the
existence of global, infinite-energy solutions with nonzero circulation number.
We also show that these solutions converge toward two-dimensional Lamb-Oseen
vortices as time goes to infinity.

11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin