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Dynamics of the interface between two immiscible liquids with nearly equal densities under gravity
Published online by Cambridge University Press: 28 November 2002
Abstract
We consider the two-dimensional Rayleigh–Taylor problem for the dynamics of the free interface Γ between two layers of immiscible viscous liquids. For a slow flow model (which corresponds to the case of a small relative jump of density) and under sufficiently wide assumptions on the geometry of Γ, we analyze the time dynamics of Γ. In particular, we prove that its increase in time t is bounded by an exponential function with exponent independent of Γ.
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- Research Article
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- 2002 Cambridge University Press
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