"Non UBC"@en . "DSpace"@en . "Fontelos L\u00F3pez, Marco Antonio"@en . "2019-10-29T08:12:27Z"@en . "2019-05-01T11:45"@en . "The formation of iterated structures, such as satellite and subsatellite drops, filaments, and bubbles, is a common feature\nin interfacial hydrodynamics. Here we undertake a computational and theoretical study of their origin in the case of thin\nfilms of viscous fluids that are destabilized by long-range molecular or other forces. We demonstrate that iterated\nstructures appear as a consequence of discrete self-similarity, where certain patterns repeat themselves, subject to\nrescaling, periodically in a logarithmic time scale. The result is an infinite sequence of ridges and filaments with\nsimilarity properties. The character of these discretely self-similar solutions as the result of a Hopf bifurcation from\nordinarily self-similar solutions is also described. Joint work with M. Dallaston, D. Tseluiko and S. Kalliadasis."@en . "https://circle.library.ubc.ca/rest/handle/2429/72105?expand=metadata"@en . "26.0 minutes"@en . "video/mp4"@en . ""@en . "Author affiliation: ICMAT"@en . "10.14288/1.0384648"@en . "eng"@en . "Unreviewed"@en . "Vancouver : University of British Columbia Library"@en . "Banff International Research Station for Mathematical Innovation and Discovery"@en . "Attribution-NonCommercial-NoDerivatives 4.0 International"@en . "http://creativecommons.org/licenses/by-nc-nd/4.0/"@en . "Faculty"@en . "BIRS Workshop Lecture Videos (Banff, Alta)"@en . "Mathematics"@en . "Fluid mechanics"@en . "Approximations and expansions"@en . "Fluid dynamics"@en . "Discrete self-similarity in thin film equations and the formation of iterated structures"@en . "Moving Image"@en . "http://hdl.handle.net/2429/72105"@en .