3 papers
math.AP2026
The anisotropic surface diffusion with elasticity in three dimensions via the Cahn-Taylor minimizing movement scheme
Andrea Kubin, Anna Kubin
In this paper, we introduce a suitable notion of flat solutions for the anisotropic surface diffusion equation with elasticity in three-dimensions, based on a minimizing movement s…
math.DG2025
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…
math.AP2025
Consistency for the surface diffusion flat flow in three dimensions
Marco Cicalese, Nicola Fusco, Vesa Julin +1
We investigate the flat flow solution for the surface diffusion equation via the discrete minimizing movements scheme proposed by Cahn and Taylor. We prove that in dimension three…