6 citations · 9 across the 7 of their papers we have counts for
8 papers
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…
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…
Discrete and Continuum Area-Preserving Mean-Curvature Flow of Rectangles
Marco Cicalese, Andrea Kubin
We investigate the area-preserving mean-curvature-type motion of a two-dimensional lattice crystal obtained by coupling constrained minimizing movements scheme introduced by Almgre…
A notion of -fractional mass for -currents in higher codimension
Marco Cicalese, Tim Heilmann, Andrea Kubin +2
In this paper we propose a notion of -fractional mass for -currents in . Such a notion generalizes the notion of -fractional perimeters for sets in the plane to high…
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…
The variational approach to -fractional heat flows and the limit cases and
Lucia De Luca, Vito Crismale, Andrea Kubin +2
This paper deals with the limit cases for -fractional heat flows in a cylindrical domain, with homogeneous Dirichlet boundary conditions, as and \,. To this…
Attractive Riesz potentials acting on hard spheres
Andrea Kubin, Marcello Ponsiglione
In this paper we introduce a model for hard spheres interacting through attractive Riesz type potentials, and we study its thermodynamic limit. We show that the tail energy enforce…