5 papers
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…
Surfactants in a Non-local Model for Phase Transitions
Marco Cicalese, Tim Heilmann
We investigate the influence of surfactants on stabilizing the formation of interfaces in non-local anisotropic two-phase fluid at equilibrium. The analysis focuses on singularly p…
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…
Surfactants in the Two Gradient Theory of Phase Transitions
Marco Cicalese, Tim Heilmann
We investigate the influence of surfactants on stabilizing the formation of interfaces in solid-solid phase transitions. The analysis focuses on singularly perturbed van der Waals-…