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Traveling waves for a thin film with gravity and insoluble surfactant

Hillairet, Matthieu; Escher, Joachim; Walker, Christoph; Laurençot, Philippe (2015), Traveling waves for a thin film with gravity and insoluble surfactant, SIAM Journal on Applied Dynamical Systems, 14, 4, p. 1991-2012. 10.1137/140963613

Type
Article accepté pour publication ou publié
External document link
https://hal.archives-ouvertes.fr/hal-00931037
Date
2015
Journal name
SIAM Journal on Applied Dynamical Systems
Volume
14
Number
4
Pages
1991-2012
Publication identifier
Metadata
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Author(s)
Hillairet, Matthieu
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Escher, Joachim
Institute for Applied Mathematics [IFAM]
Walker, Christoph
Institut für Angewandte Mathematik [IFAM]
Laurençot, Philippe
Abstract (EN)
Lubrication equations for a surfactant-driven flow of a thin layer of fluid are considered with a singular surfactant-dependent surface tension. It is shown that there exists a bounded traveling wave solution which connects a fully surfactant-coated film to an uncoated film. The regularity of the traveling wave depends on whether or not surface diffusion of the insoluble surfactant is included.
Subjects / Keywords
surfactant; traveling wave; Thin films