Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homogenization for advection-diffusion in a perforated domain   The volume of a Wiener sausage constructed from a diffusion process with
periodic, mean-zero, divergence-free velocity field, in dimension 3 or more, is
shown to have a non-random and positive asymptotic rate of growth. This is used
to establish the existence of a homogenized limit for such a diffusion when
subject to Dirichlet conditions on the boundaries of a sparse and independent
array of obstacles. There is a constant effective long-time loss rate at the
obstacles. The dependence of this rate on the form and intensity of the
obstacles and on the velocity field is investigated. A Monte Carlo algorithm
for the computation of the volume growth rate of the sausage is introduced and
some numerical results are presented for the Taylor--Green velocity field.

32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph