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arXiv · 1211.2216

Weak solutions to lubrication systems describing the evolution of bilayer thin films

Sebastian Jachalski·Georgy Kitavtsev·Roman Taranets
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Abstract

The existence of global nonnegative weak solutions is proved for coupled one-dimensional lubrication systems that describe the evolution of nanoscopic bilayer thin polymer films that take account of Navier-slip or no-slip conditions at both liquid-liquid and liquid-solid interfaces. In addition, in the presence of attractive van der Waals and repulsive Born intermolecular interactions existence of positive smooth solutions is shown.

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Sebastian Jachalski, Georgy Kitavtsev, Roman Taranets. 2012-11-09. Weak solutions to lubrication systems describing the evolution of bilayer thin films. https://arxiv.org/abs/1211.2216

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