4 papers · 1 filter
A new approach to topological singularities via a weak notion of Jacobian for functions of bounded variation
Lucia De Luca, Riccardo Scala, Nicolas Van Goethem
We introduce a weak notion of -minors of gradients of a suitable subclass of functions. In the case of maps in such a notion extends…
Convergence of supercritical fractional flows to the mean curvature flow
Lucia De Luca, Andrea Kubin, Marcello Ponsiglione
We consider a core-radius approach to nonlocal perimeters governed by isotropic kernels having critical and supercritical exponents, extending the nowadays classical notion of -…
Crystallization to the square lattice for a two-body potential
Laurent Bétermin, Lucia De Luca, Mircea Petrache
We consider two-dimensional zero-temperature systems of particles to which we associate an energy of the form where…
A gradient flow approach to relaxation rates for the multi-dimensional Cahn-Hilliard equation
Michael Goldman, Lucia De Luca, Marta Strani
The aim of this paper is to study relaxation rates for the Cahn-Hilliard equation in dimension larger than one. We follow the approach of Otto and Westdickenberg based on the gradi…