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math.AP2021
Some thin film models based on Shikhmurzaev's approach
Amrita Ghosh, Barbara Niethammer, Juan J. L. Velazquez
We derive several lubrication approximation models, using Shikhmurzaev's approach to the contact line problem, obtained in \cite{GNV}. The first two lubrication models describe thi…
math.AP2021
Revisiting Shikhmurzaev's approach to the contact line problem
Amrita Ghosh, Barbara Niethammer, Juan J. L. Velazquez
In this paper, we revisit a model for the contact line problem which has been proposed by Shikhmurzaev (1993). In the first part, in addition to rederiving the model, we study in d…