Weak solutions to a thin film model with capillary effects and insoluble surfactant

Details Weak solutions to a thin film model with capillary effects and insoluble surfactant Weak solutions to a thin film model with capillary effects and insoluble surfactant

2011-09-30

arxiv.org/abs/1109.6762v1

Mathematics

Analysis of PDEs

Scientific paper

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 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 under natural assumptions on the surface tension coefficient.

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