Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak pullback mean random attractors for the stochastic convective
  Brinkman-Forchheimer equations and locally monotone stochastic partial
  differential equations   This work is concerned about the asymptotic behavior of the solutions of the
two and three dimensional stochastic convective Brinkman-Forchheimer (SCBF)
equations driven by white noise with nonlinear diffusion terms. We prove the
existence and uniqueness of weak pullback mean random attractors for the 2D
SCBF equations (for $r\geq1$) as well as 3D SCBF equations (for $r>3$, any
$\mu,\beta>0$ and for $r=3$, $2\mu\beta\geq1$) in Bochner spaces, when the
diffusion terms are Lipschitz nonlinear functions. Furthermore, we establish
the existence of weak pullback mean random attractors for a class of locally
monotone stochastic partial differential equations.

7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg