The behavior of a viscous fluid film bounded by a wall and a heavier overlying immiscible
phase is examined in the limit of small Bond number. Evolution equations governing the …

The dynamics of a thin liquid film on the underside of a curved cylindrical substrate is
studied. The evolution of the liquid layer is investigated as the film thickness and the radius …

We revisit the canonical Rayleigh-Taylor instability and investigate the case of a thin film of
fluid upon the underside of an inclined plane. The presence of a natural flow along the plane …

The nonlinear stability of a two-fluid system consisting of a viscous film bounded above by a
heavier and thicker layer, between two horizontal plates, with one of the plates oscillating …

A general mechanism of nonlinear saturation of instabiities in flowing films is described
using the Rayleigh–Taylor instability as an example. The combined action of flow shear and …

On the basis of the phase-field approach, we investigate the simultaneous diffusive and
convective evolution of an isothermal binary mixture of two slowly miscible liquids that are …

We study experimentally and theoretically the evolution of two-dimensional patterns in the
Rayleigh—Taylor instability of a thin layer of viscous fluid spread on a solid surface. Various …

The instability and rupture of thin films due to a negative disjoining pressure is examined. A
system of a thin film, bounded by a solid substrate and a second fluid phase semi-infinite in …

A high-Reynolds-number asymptotic theory is developed for linear instability waves in a two-
dimensional incompressible boundary layer on a flat surface coated with a thin film of a …

The dynamics of the Rayleigh-Taylor instability of a two-dimensional thin liquid film placed
on the underside of a planar substrate subjected to either normal or tangential harmonic …