Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic Autonomy of Random Attractors in Regular Spaces for
  Non-autonomous Stochastic Navier-Stokes Equations   This article concerns the long-term random dynamics in regular spaces for a
non-autonomous Navier-Stokes equation defined on a bounded smooth domain
$\mathcal{O}$ driven by multiplicative and additive noise. For the two kinds of
noise driven equations, we demonstrate the existence of a unique pullback
attractor which is backward compact and asymptotically autonomous in
$\mathbb{L}^2(\mathcal{O})$ and $\mathbb{H}_0^1(\mathcal{O})$, respectively.
The backward-uniform flattening property of the solution is used to prove the
backward-uniform pullback asymptotic compactness of the non-autonomous random
dynamical systems in the regular space $\mathbb{H}_0^1(\mathcal{O})$.

27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
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The categories of this paper are: funct-an
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph