Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global regularity of 2D tropical climate model with zero thermal
  diffusion   This article studies the global regularity problem of the two-dimensional
zero thermal diffusion tropical climate model with fractional dissipation,
given by $(-\Delta)^{\alpha}u$ in the barotropic mode equation and by
$(-\Delta)^{\beta}v$ in the first baroclinic mode of the vector velocity
equation. More precisely, we show that the global regularity result holds true
as long as $\alpha+\beta\geq2$ with $1<\alpha<2$. In addition, with no
dissipation from both the temperature and the first baroclinic mode of the
vector velocity, we also establish the global regularity result with the
dissipation strength at the logarithmically supercritical level. Finally, our
arguments can be extended to obtain the corresponding global regularity results
of the higher dimensional cases.

18
The categories of this paper are: econ
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs