Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The decay and stability of solutions for the 3D density-dependent
  incompressible Boussinesq system   This paper deals with stability and the large-time decay to any given global
smooth solutions of the 3D density-dependent incompressible Boussinesq system.
The decay rate for solutions of the corresponding Cauchy problem is obtained in
this work. With the aid of this decay rate, it is shown that a small
perturbation of initial data $(\overline{a}_0,\overline{\theta}_0,
\overline{u}_0)$ still generates a global smooth solution to the
density-dependent Boussinesq system, and this solution keeps close to the
reference solution.

13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc