20 citations · 25 across the 2 of their papers we have counts for
2 papers
physics.geo-ph2017★ 20 cited
Laplacian networks: growth, local symmetry and shape optimization
O. Devauchelle, P. Szymczak, M. Pecelerowicz +3
Inspired by river networks and other structures formed by Laplacian growth, we use the Loewner equation to investigate the growth of a network of thin fingers in a diffusion field.…
nlin.PS2016★ 5 cited
Stabilizing effect of tip splitting on the interface motion
Michal Pecelerowicz, Piotr Szymczak
Pattern-forming processes, such as electrodeposition, dielectric breakdown or viscous fingering are often driven by instabilities. Accordingly, the resulting growth patterns are us…