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Thin film instability
This lecture covers the analysis of instability in thin liquid films, focusing on the dispersion relation, scaling laws, and experimental validation. It discusses the lubrication equation, tilting the ceiling, and the scaling analysis of the Stokes equations. The presentation also delves into the simplified equations, solution methods, and stress on the plate, emphasizing the free interface liquid film and Rayleigh Taylor instability. The lecture concludes with the discussion of the boundary equations, the Reynolds equation, and the dispersion relation for thin film instability.