4 papers · 1 filter
The variational approach to -fractional heat flows and the limit cases and
Lucia De Luca, Vito Crismale, Andrea Kubin +2
This paper deals with the limit cases for -fractional heat flows in a cylindrical domain, with homogeneous Dirichlet boundary conditions, as and \,. To this…
Stability results for nonlocal geometric evolutions and limit cases for fractional mean curvature flows
Annalisa Cesaroni, Lucia De Luca, Matteo Novaga +1
We introduce a notion of uniform convergence for local and nonlocal curvatures. Then, we propose an abstract method to prove the convergence of the corresponding geometric flows, w…
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…
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…