1 citations · 1 across the 4 of their papers we have counts for
4 papers
Tumor growth with nutrients: stability of the tumor patches
Inwon Kim, Jona Lelmi
In this paper, we study a tumor growth model with nutrients. The contact inhibition for the tumor cells, presented in the model, results in the evolution of a congested tumor patch…
Large data limit of the MBO scheme for data clustering: convergence of the dynamics
Tim Laux, Jona Lelmi
We prove that the dynamics of the MBO scheme for data clustering converge to a viscosity solution to mean curvature flow. The main ingredients are (i) a new abstract convergence re…
De Giorgi's inequality for the thresholding scheme with arbitrary mobilities and surface tensions
Tim Laux, Jona Lelmi
We provide a new convergence proof of the celebrated Merriman-Bence-Osher scheme for multiphase mean curvature flow. Our proof applies to the new variant incorporating a general cl…
On the smoothness of -contact maps in -rigid Carnot groups
Jona Lelmi
We show that in any -rigid Carnot group in the sense of Ottazzi - Warhurst, -contact maps are automatically smooth.