6 citations · 9 across the 3 of their papers we have counts for
5 papers
The Brakke-BV structure of flat flows
Daniele De Gennaro, Salvatore Stuvard
We show that, in ambient dimension at most seven, varifold limits of the minimizing movements scheme introduced by Almgren--Taylor--Wang and Luckhaus--Sturzenhecker are integral Br…
Dynamical stability for the periodic modified Mullins-Sekerka flow
Daniele De Gennaro, Anna Kubin
We prove dynamical stability in arbitrary dimension for the modified Mullins--Sekerka flow, the gradient flow of the sharp-interface Ohta--Kawasaki energy on the flat torus. Specif…
Stability of the surface diffusion flow and volume-preserving mean curvature flow in the flat torus
Daniele De Gennaro, Antonia Diana, Andrea Kubin +1
We prove that, in the flat torus and in any dimension, the volume-preserving mean curvature flow and the surface diffusion flow, starting close to a strictly stable criti…
Asymptotic of the Discrete Volume-Preserving Fractional Mean Curvature Flow via a Nonlocal Quantitative Alexandrov Theorem
De Gennaro Daniele, Andrea Kubin, Anna Kubin
We characterize the long time behaviour of a discrete-in-time approximation of the volume preserving fractional mean curvature flow. In particular, we prove that the discrete flow…
Long Time Behaviour of the Discrete Volume Preserving Mean Curvature Flow in the Flat Torus
Daniele De Gennaro, Anna Kubin
We show that the discrete approximate volume preserving mean curvature flow in the flat torus starting near a strictly stable critical set of the perimeter conve…