24 citations · 102 across the 9 of their papers we have counts for
5 papers · 1 filter
A superposition principle for the inhomogeneous continuity equation with Hellinger-Kantorovich-regular coefficients
Kristian Bredies, Marcello Carioni, Silvio Fanzon
We study measure-valued solutions of the inhomogeneous continuity equation where the coefficients and are of low regularity. A ne…
Uniform distribution of dislocations in Peierls-Nabarro models for semi-coherent interfaces
Silvio Fanzon, Marcello Ponsiglione, Riccardo Scala
In this paper we introduce Peierls-Nabarro type models for edge dislocations at semi-coherent interfaces between two heterogeneous crystals, and prove the optimality of uniformly d…
Derivation of Linearised Polycrystals from a 2D system of edge dislocations
Silvio Fanzon, Mariapia Palombaro, Marcello Ponsiglione
In this paper we show the emergence of polycrystalline structures as a result of elastic energy minimisation. For this purpose, we introduce a variational model for two-dimensional…
Optimal lower exponent for the higher gradient integrability of solutions to two-phase elliptic equations in two dimensions
Silvio Fanzon, Mariapia Palombaro
We study the higher gradient integrability of distributional solutions to the equation in dimension two, in the case when the essential range of consis…
A variational model for dislocations at semi-coherent interfaces
Silvio Fanzon, Mariapia Palombaro, Marcello Ponsiglione
We propose and analyze a simple variational model for dislocations at semi-coherent interfaces. The energy functional describes the competition between two terms: a surface energy…