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arXiv · 1401.3300

Bounded traveling waves for a thin film with gravity and insoluble surfactant

Joachim Escher·Matthieu Hillairet·Philippe Laurencot·Christoph Walker
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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.

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Joachim Escher, Matthieu Hillairet, Philippe Laurencot, Christoph Walker. 2014-01-14. Bounded traveling waves for a thin film with gravity and insoluble surfactant. https://arxiv.org/abs/1401.3300

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