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Peeling, healing and bursting in a lubricated elastic sheet
We consider the dynamics of an elastic sheet lubricated by the flow of a thin layer of fluid that separates it from a rigid wall. By considering long wavelength deformations of the sheet, we derive an evolution equation ...
Corner Flows in Free Liquid Films
A lubrication-flow model for a free film in a corner is presented. The model, written in the hyperbolic coordinate system ξ = x² – y², Î· = 2xy, applies to films that are thin in the Î· direction. The lubrication approximation ...