Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The asymptotic analysis of a Darcy-Stokes system coupled through a
  curved interface   The asymptotic analysis of a Darcy-Stokes system modeling the fluid exchange
between a narrow channel (Stokes) and a porous medium (Darcy) coupled through a
$ C^{2} $ curved interface, is presented. The channel is a cylindrical domain
between the interface ($ \Gamma $) and a parallel translation of it ($ \Gamma +
\epsilon \, \boldsymbol{\widehat{e}}_{N} $). The introduction of a change
variable to fix the domain's geometry and the introduction of two systems of
coordinates: the Cartesian and a local one (consistent with the geometry of the
surface), permit to find a Darcy-Brinkman lower dimensional coupled system as
the limiting form, when the width of the channel tends to zero ($ \epsilon
\rightarrow 0 $).

8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat