Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Front pinning in capillary filling of chemically coated channels   The dynamics of capillary filling in the presence of chemically coated
heterogeneous boundaries is investigated, both theoretically and numerically.
In particular, by mapping the equations of front motion onto the dynamics of a
dissipative driven oscillator, an analytical criterion for front pinning is
derived, under the condition of diluteness of the coating spots. The criterion
is tested against two dimensional Lattice Boltzmann simulations, and found to
provide satisfactory agreement as long as the width of the front interface
remains much thinner than the typical heterogeneity scale of the chemical
coating.

2
The categories of this paper are: math
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph