Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Upscaled phase-field models for interfacial dynamics in strongly
  heterogeneous domains   We derive a new effective macroscopic Cahn-Hilliard equation whose
homogeneous free energy is represented by 4-th order polynomials, which form
the frequently applied double-well potential. This upscaling is done for
perforated/strongly het- erogeneous domains. To the best knowledge of the
authors, this seems to be the first attempt of upscaling the Cahn-Hilliard
equation in such domains. The new homog- enized equation should have a broad
range of applicability due to the well-known versatility of phase-field models.
The additionally introduced feature of systemati- cally and reliably accounting
for confined geometries by homogenization allows for new modeling and numerical
perspectives in both, science and engineering. Our results are applied to
wetting dynamics in porous media and to a single channel with strongly
heterogeneous walls.

31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn