Details
| Original language | English |
|---|---|
| Pages (from-to) | 2423-2441 |
| Number of pages | 19 |
| Journal | Nonlinearity |
| Volume | 25 |
| Issue number | 9 |
| Publication status | Published - 2 Aug 2012 |
Abstract
The paper focuses on a model describing the spreading of an insoluble surfactant on a thin viscous film with capillary effects taken into account. The governing equation for the film height is a degenerate parabolic of fourth order and coupled to a second order parabolic equation for the surfactant concentration. It is shown that nonnegative weak solutions exist.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Mathematical Physics
- Physics and Astronomy(all)
- General Physics and Astronomy
- Mathematics(all)
- Applied Mathematics
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In: Nonlinearity, Vol. 25, No. 9, 02.08.2012, p. 2423-2441.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Weak solutions to a thin film model with capillary effects and insoluble surfactant
AU - Escher, Joachim
AU - Hillairet, Matthieu
AU - Laurençot, Philippe
AU - Walker, Christoph
PY - 2012/8/2
Y1 - 2012/8/2
N2 - The paper focuses on a model describing the spreading of an insoluble surfactant on a thin viscous film with capillary effects taken into account. The governing equation for the film height is a degenerate parabolic of fourth order and coupled to a second order parabolic equation for the surfactant concentration. It is shown that nonnegative weak solutions exist.
AB - The paper focuses on a model describing the spreading of an insoluble surfactant on a thin viscous film with capillary effects taken into account. The governing equation for the film height is a degenerate parabolic of fourth order and coupled to a second order parabolic equation for the surfactant concentration. It is shown that nonnegative weak solutions exist.
UR - http://www.scopus.com/inward/record.url?scp=84865471825&partnerID=8YFLogxK
U2 - 10.1088/0951-7715/25/9/2423
DO - 10.1088/0951-7715/25/9/2423
M3 - Article
AN - SCOPUS:84865471825
VL - 25
SP - 2423
EP - 2441
JO - Nonlinearity
JF - Nonlinearity
SN - 0951-7715
IS - 9
ER -