Details
| Original language | English |
|---|---|
| Pages (from-to) | 210-222 |
| Number of pages | 13 |
| Journal | Mathematische Nachrichten |
| Volume | 285 |
| Issue number | 2-3 |
| Publication status | Published - 12 Sept 2011 |
Abstract
A thin film on a horizontal solid substrate and coated with a soluble surfactant is considered. The governing degenerate parabolic equations for the film height and the surfactant concentrations on the surface and in the bulk are derived using a lubrication approximation when gravity is taken into account. It is shown that the steady states are asymptotically stable.
Keywords
- Degenerate parabolic equations, Linearized stability, Lubrication approximation, Thin films
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Mathematische Nachrichten, Vol. 285, No. 2-3, 12.09.2011, p. 210-222.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Thin film equations with soluble surfactant and gravity
T2 - Modeling and stability of steady states
AU - Escher, Joachim
AU - Hillairet, Matthieu
AU - Laurençot, Philippe
AU - Walker, Christoph
PY - 2011/9/12
Y1 - 2011/9/12
N2 - A thin film on a horizontal solid substrate and coated with a soluble surfactant is considered. The governing degenerate parabolic equations for the film height and the surfactant concentrations on the surface and in the bulk are derived using a lubrication approximation when gravity is taken into account. It is shown that the steady states are asymptotically stable.
AB - A thin film on a horizontal solid substrate and coated with a soluble surfactant is considered. The governing degenerate parabolic equations for the film height and the surfactant concentrations on the surface and in the bulk are derived using a lubrication approximation when gravity is taken into account. It is shown that the steady states are asymptotically stable.
KW - Degenerate parabolic equations
KW - Linearized stability
KW - Lubrication approximation
KW - Thin films
UR - http://www.scopus.com/inward/record.url?scp=84856449541&partnerID=8YFLogxK
U2 - 10.1002/mana.201010009
DO - 10.1002/mana.201010009
M3 - Article
AN - SCOPUS:84856449541
VL - 285
SP - 210
EP - 222
JO - Mathematische Nachrichten
JF - Mathematische Nachrichten
SN - 0025-584X
IS - 2-3
ER -