Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the derivation of a Stokes-Brinkman problem from Stokes equations
  around a random array of moving spheres   We consider the Stokes system in $\mathbb R^3,$ deprived of $N$ spheres of
radius $1/N,$ completed by constant boundary conditions on the spheres. This
problem models the instantaneous response of a viscous fluid to an immersed
cloud of moving solid spheres. We assume that the centers of the spheres and
the boundary conditions are given randomly and we compute the asymptotic
behavior of solutions when the parameter $N$ diverges. Under the assumption
that the distribution of spheres/centers is chaotic, we prove convergence in
mean to the solution of a Stokes-Brinkman problem.

27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics