TY  - JOUR
A1  - Shklyaev, Sergey
A1  - Straube, Arthur V.
T1  - Superexponential droplet fractalization as a hierarchical formation of dissipative compactons
N2  - We study the dynamics of a thin film over a substrate heated from below in a framework of a strongly nonlinear one-dimensional Cahn-Hilliard equation. The evolution leads to a fractalization into smaller and smaller scales. We demonstrate that a primitive element in the appearing hierarchical structure is a dissipative compacton. Both direct simulations and the analysis of a self-similar solution show that the compactons appear at superexponentially decreasing scales, which means vanishing dimension of the fractal.
Y1  - 2010
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/11672
UR  - http://pre.aps.org/
SN  - 1539-3755
ER  -