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A numerical scheme by which to analyze the dynamic behavior of an ultra-thin liquid (lubricant) surface in the frequency domain resulting from repetitively applied pressure and shear stress was established. Numerical results for the dynamic behavior of an ultra-thin liquid (lubricant) surface produced by sinusoidally applied pressure and shear stress were obtained. The dependence of the liquid surface deformation on the frequency of the stresses and the disk speed were clarified.

Dynamic Behavior of a Thin Liquid Surface by Repetitively Applied Stress (Numerical Analyses by the Long Wave Equation)