The anisotropic evolution of particles on a substrate, i.e. with direction-dependent interfacial energy, is a common phenomenon in applied sciences, appearing for example in cell biology or in the study of polycrystals. We present a model for such dynamics where, in addition to the anisotropy, we also consider a space-dependent interfacial energy of the substrate, corresponding to a chemically patterned surface. Then, recalling the MBO scheme for mean curvature flow, we show an approximation result for the energy of the system by means of -convergence.
This is joint work with Karel Švadlenka from the Tokyo Metropolitan University.
Dewetting dynamics of anisotropic particles: a preliminary result for a level-set approach
18.10.2023 14:00 - 14:30
Organiser:
SFB 65
Location:
TU Wien, Wiedner Hauptstraße 8, 1040 Wien Green area, 6th floor, seminar room DA 6A and online on Zoom