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- W2577603145 abstract "The formation of iterated structures, such as satellite and subsatellite drops, filaments, and bubbles, is a common feature in interfacial hydrodynamics. Here we undertake a computational and theoretical study of their origin in the case of thin films of viscous fluids that are destabilized by long-range molecular or other forces. We demonstrate that iterated structures appear as a consequence of discrete self-similarity, where certain patterns repeat themselves, subject to rescaling, periodically in a logarithmic time scale. The result is an infinite sequence of ridges and filaments with similarity properties. The character of these discretely self-similar solutions as the result of a Hopf bifurcation from ordinarily self-similar solutions is also described." @default.
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- W2577603145 date "2018-01-19" @default.
- W2577603145 modified "2023-10-11" @default.
- W2577603145 title "Discrete Self-Similarity in Interfacial Hydrodynamics and the Formation of Iterated Structures" @default.
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- W2577603145 doi "https://doi.org/10.1103/physrevlett.120.034505" @default.
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