Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three-dimensional dynamics of falling films in the presence of insoluble
  surfactants   We study the effect of insoluble surfactants on the wave dynamics of
vertically-falling liquid films. We use three-dimensional numerical simulations
and employ a hybrid interface-tracking/level-set method, taking into account
Marangoni stresses induced by gradients of interfacial surfactant
concentration. Our numerical predictions for the evolution of the
surfactant-free, three-dimensional wave topology are validated against the
experimental work of Park & Nosoko (2003). The addition of surfactants is found
to influence significantly the development of horseshoe-shaped waves. At low
Marangoni numbers, we show that the wave fronts exhibit spanwise oscillations
before eventually acquiring a quasi two-dimensional shape. In addition, the
presence of Marangoni stresses are found to suppress the peaks of the
travelling waves and preceding capillary wave structures. At high Marangoni
numbers, a near complete rigidification of the interface is observed.

20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol