Linear stability and nonlinear dynamics of an interface between two stratiÿed viscous layers are studied. Both layers are extremely thin, so that the gravitational e ects are negligible. The ow is driven by unretarded London-van der Waals forces (long-range molecular forces), which tend the layers to rupture. Thermocapillarity is applied as a means to retard or prevent the rupture process. The nonlinear ow developments leading toward rupture are examined by integrating a long-wave evolution equation with a fully implicit ÿnite-di erence method with second-order time accuracy.
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