82 citations · 143 across the 36 of their papers we have counts for
3 papers · 1 filter
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…
Existence and uniqueness for a crystalline mean curvature flow
Antonin Chambolle, Massimiliano Morini, Marcello Ponsiglione
An existence and uniqueness result, up to fattening, for a class of crystalline mean curvature flows with natural mobility is proved. The results are valid in any dimension and for…
Ground states of a two phase model with cross and self attractive interactions
Marco Cicalese, Lucia De Luca, Matteo Novaga +1
We consider a variational model for two interacting species (or phases), subject to cross and self attractive forces. We show existence and several qualitative properties of minimi…