6 citations · 9 across the 6 of their papers we have counts for
9 papers
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…
A phase-field model for the Verigin problem: weak solutions and sharp-interface limit
Anna Kubin, Alice Marveggio
We introduce a novel phase-field model approximating the Verigin problem with phase transition. For fixed interface thickness , we construct weak solutions through a…
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…
Approximation of symmetric total variation on point clouds
Stefano Almi, Anna Kubin, Emanuele Tasso
The paper investigates the approximation of the symmetric Total Variation functional on graphs. Such an approximation is given in terms of a discrete and symmetric finite differenc…
The Verigin problem with phase transition as a Wasserstein flow
Anna Kubin, Tim Laux, Alice Marveggio
We study the modeling of a compressible two-phase flow in a porous medium. The governing free boundary problem is known as the Verigin problem with phase transition. We introduce a…
The asymptotic of the Mullins-Sekerka and the area-preserving curvature flow in the planar flat torus
Vedansh Arya, Daniele De Gennaro, Anna Kubin
We study the asymptotic behavior of flat flow solutions to the periodic and planar two-phase Mullins-Sekerka flow and area-preserving curvature flow. We show that flat flows conver…
On De Giorgi's Conjecture of Nonlocal approximations for free-discontinuity problems: The symmetric gradient case
Stefano Almi, Elisa Davoli, Anna Kubin +1
We prove that E. De Giorgi's conjecture for the nonlocal approximation of free-discontinuity problems extends to the case of functionals defined in terms of the symmetric gradient…
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…