A hydrodynamical analysis is given of the Rayleigh-Taylor instability in fluids of high viscosity. The solutions are obtained in the linear approximation for two models: (1) two layers restricted by rigid walls, and (2) two layers restricted by a rigid wall and an inviscid fluid. These solutions are then investigated for different special situations. Some aspects of the development of instability are considered for a case when the deformation of the media obeys the creep laws. In conclusion, the instability in certain regions of the upper mantle is considered.
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E. V. Artyushkov (1971) studied this question.
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