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The objective of this grant was to study complex interfacial flows. Here we report on several problems considered. In particular we have investigated the motion of a liquid along a second liquid interface, we have investigated a canonical problem associated with the rupture of a viscous interface, we have investigated the dynamics of a gas bubble or drop in an inclined parallel walled channel under gravity with and without the presence of surfactants, we have studied the dynamics of a dry spot in a thin liquid film and we have developed a numerical code to study the dynamics of a liquid interface in a parallel walled channel. In addition, two students have completed their Ph.D. thesis during this grant period

Complex interfacial flows. Final report for period August 1, 1997 - July 31, 2001