6 citations · 6 across the 4 of their papers we have counts for
4 papers
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…
Uniform Sobolev, interpolation and geometric Calderón-Zygmund inequalities for graph hypersurfaces
Serena Della Corte, Antonia Diana, Carlo Mantegazza
In this note, our aim is to show that families of smooth hypersurfaces of which are all --close enough to a fixed compact, embedded one, have uniformly bound…
Stability for the Surface Diffusion Flow
Antonia Diana, Nicola Fusco, Carlo Mantegazza
We study the global existence and stability of surface diffusion flow (the normal velocity is given by the Laplacian of the mean curvature) of smooth boundaries of subsets of the $…
Global Existence and Stability for the Modified Mullins-Sekerka and Surface Diffusion Flow
Serena Della Corte, Antonia Diana, Carlo Mantegazza
In this survey we present the state of the art about the asymptotic behavior and stability of the modified Mullins--Sekerka flow and the surface diffusion flow of smooth sets, main…