2 papers
math.AP2021
Singular limit of an Allen-Cahn equation with nonlinear diffusion
Perla El Kettani, Tadahisa Funaki, Danielle Hilhorst +2
We consider an Allen-Cahn equation with nonlinear diffusion, motivated by the study of the scaling limit of certain interacting particle systems. We investigate its singular limit…
math.PR2020
Mean curvature interface limit from Glauber+Zero-range interacting particles
Perla El Kettani, Tadahisa Funaki, Danielle Hilhorst +2
We derive a continuum mean-curvature flow as a certain hydrodynamic scaling limit of a class of Glauber+Zero-range particle systems. The Zero-range part moves particles while prese…