Details
| Original language | English |
|---|---|
| Pages (from-to) | 1991-2012 |
| Number of pages | 22 |
| Journal | SIAM Journal on Applied Dynamical Systems |
| Volume | 14 |
| Issue number | 4 |
| Publication status | Published - 2015 |
Abstract
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.
Keywords
- Surfactant, Thin films, Traveling wave
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Modelling and Simulation
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In: SIAM Journal on Applied Dynamical Systems, Vol. 14, No. 4, 2015, p. 1991-2012.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Traveling Waves for a Thin Film with Gravity and Insoluble Surfactant
AU - Escher, Joachim
AU - Hillairet, Matthieu
AU - Laurençot, Philippe
AU - Walker, Christoph
PY - 2015
Y1 - 2015
N2 - 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.
AB - 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.
KW - Surfactant
KW - Thin films
KW - Traveling wave
UR - http://www.scopus.com/inward/record.url?scp=84951964396&partnerID=8YFLogxK
U2 - 10.1137/140963613
DO - 10.1137/140963613
M3 - Article
AN - SCOPUS:84951964396
VL - 14
SP - 1991
EP - 2012
JO - SIAM Journal on Applied Dynamical Systems
JF - SIAM Journal on Applied Dynamical Systems
SN - 1536-0040
IS - 4
ER -