Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homogenization of a pseudo-parabolic system via a spatial-temporal
  decoupling: upscaling and corrector estimates for perforated domains   In this paper, we determine the convergence speed of an upscaling of a
pseudo-parabolic system containing drift terms with scale separation of size
$\epsilon \ll 1$. Both the upscaling and convergence speed determination
exploit a natural spatial-temporal decomposition, which splits the
pseudo-parabolic system into a spatial elliptic partial differential equation
and a temporal ordinary differential equation. We extend the applicability to
space-time domains that are a product of spatial and temporal domains, such as
a time-independent perforated spatial domain. Finally, for special cases we
show convergence speeds for global times, i.e. $t \in \mathbf{R}_+$, by using
time intervals that converge to $\mathbf{R}_+$ as $\epsilon\downarrow 0$.

16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin