Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scaling effects on the periodic homogenization of a
  reaction-diffusion-convection problem posed in homogeneous domains connected
  by a thin composite layer   We study the question of periodic homogenization of a variably scaled
reaction-diffusion problem with non-linear drift posed for a domain crossed by
a flat composite thin layer. The structure of the non-linearity in the drift
was obtained in earlier works as hydrodynamic limit of a totally asymmetric
simple exclusion process (TASEP) process for a population of interacting
particles crossing a domain with obstacle.
  Using energy-type estimates as well as concepts like thin-layer convergence
and two-scale convergence, we derive the homogenized evolution equation and the
corresponding effective model parameters for a regularized problem. Special
attention is paid to the derivation of the effective transmission conditions
across the separating limit interface in essentially two different situations:
(i) finitely thin layer and (ii) infinitely thin layer.
  This study should be seen as a preliminary step needed for the investigation
of averaging fast non-linear drifts across material interfaces -- a topic with
direct applications in the design of thin composite materials meant to be
impenetrable to high-velocity impacts.

30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom