TY - ELEC
AU - Marco Antonio Fontelos López
PY - 2019
TI - Discrete self-similarity in thin film equations and the formation of iterated structures
LA - eng
M3 - Moving Image
AB - 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.
N2 - 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.
UR - https://open.library.ubc.ca/collections/48630/items/1.0384648
ER - End of Reference