Andrea Kubin

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20202026

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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.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…

math.AP2024

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…

math.AP2021

The variational approach to $s$ -fractional heat flows and the limit cases $s \to 0^{+}$ and $s \to 1^{-}$

Lucia De Luca, Vito Crismale, Andrea Kubin +2

This paper deals with the limit cases for $s$ -fractional heat flows in a cylindrical domain, with homogeneous Dirichlet boundary conditions, as $s \to 0^{+}$ and $s \to 1^{-}$ \,. To this…

math.AP2020

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…