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Discrete self-similarity in thin film equations and the formation of iterated structures Fontelos López, Marco Antonio
Description
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. Joint work with M. Dallaston, D. Tseluiko and S. Kalliadasis.
Item Metadata
Title |
Discrete self-similarity in thin film equations and the formation of iterated structures
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-05-01T11:45
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Description |
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. Joint work with M. Dallaston, D. Tseluiko and S. Kalliadasis.
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Extent |
26.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: ICMAT
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Series | |
Date Available |
2019-10-29
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0384648
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International