A pressure difference across a liquid layer will accelerate it. For
incompressible and inviscid fluids, it is possible to describe the
motion of the surfaces through boundary integral techniques. In
particular, dipole distributions can be used together with an external
flow that specifies the acceleration. The classical Rayleigh-Taylor
instability is an important application. A new method for the
numerical approximation of the boundary integrals removes the
difficulties associate with surfaces in close proximity as in thin
layers.
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