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arXiv · 1908.06406

On a thin film model with insoluble surfactant

Gabriele Bruell·Rafael Granero-Belinchón
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Abstract

This paper studies the existence and asymptotic behavior of global weak solutions for a thin film equation with insoluble surfactant under the influence of gravitational, capillary and van der Waals forces. We prove the existence of global weak solutions for \emph{medium sized} initial data in \emph{large function spaces}. Moreover, exponential decay towards the flat equilibrium state is established, where an estimate on the decay rate can be computed explicitly.

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Gabriele Bruell, Rafael Granero-Belinchón. 2019-08-18. On a thin film model with insoluble surfactant. https://arxiv.org/abs/1908.06406

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