Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Corrector homogenization estimates for a non-stationary
  Stokes-Nernst-Planck-Poisson system in perforated domains   We consider a non-stationary Stokes-Nernst-Planck-Poisson system posed in
perforated domains. Our aim is to justify rigorously the homogenization limit
for the upscaled system derived by means of two-scale convergence in
\cite{RMK12}. In other words, we wish to obtain the so-called corrector
homogenization estimates that specify the error obtained when upscaling the
microscopic equations. Essentially, we control in terms of suitable norms
differences between the micro- and macro-concentrations and between the
corresponding micro- and macro-concentration gradients. The major challenges
that we face are the coupled flux structure of the system, the nonlinear drift
terms and the presence of the microstructures. Employing various energy-like
estimates, we discuss several scalings choices and boundary conditions.

18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th