82 citations · 143 across the 36 of their papers we have counts for
4 papers · 1 filter
Low energy configurations of topological singularities in two dimensions: A -convergence analysis of dipoles
Lucia De Luca, Marcello Ponsiglione
This paper deals with the variational analysis of topological singularities in two dimensions. We consider two canonical zero-temperature models: the core radius approach and the G…
Generalized crystalline evolutions as limits of flows with smooth anisotropies
Antonin Chambolle, Massimiliano Morini, Matteo Novaga +1
We prove existence and uniqueness of weak solutions to anisotropic and crystalline mean curvature flows, obtained as limit of the viscosity solutions to flows with smooth anisotrop…
Minimising movements for the motion of discrete screw dislocations along glide directions
Roberto Alicandro, Lucia De Luca, Adriana Garroni +1
In [3] a simple discrete scheme for the motion of screw dislocations toward low energy configurations has been proposed. There, a formal limit of such a scheme, as the lattice spac…
Existence and uniqueness for anisotropic and crystalline mean curvature flows
Antonin Chambolle, Massimiliano Morini, Matteo Novaga +1
An existence and uniqueness result, up to fattening, for crystalline mean curvature flows with forcing and arbitrary (convex) mobilities, is proven. This is achieved by introducing…