7 citations · 8 across the 7 of their papers we have counts for
7 papers
A crystallization result in two dimensions for a soft disc affine potential
Giacomo Del Nin, Lucia De Luca
We prove finite crystallization for particles in the plane interacting through a soft disc potential, as originally shown by C. Radin \cite{Radin_soft}. We give an alternative proo…
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…
Topological singularities in periodic media: Ginzburg-Landau and core-radius approaches
Roberto Alicandro, Andrea Braides, Marco Cicalese +2
We describe the emergence of topological singularities in periodic media within the Ginzburg-Landau model and the core-radius approach. The energy functionals of both models are de…
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…
The -fractional perimeter between fractional perimeters and Riesz potentials
Lucia De Luca, Matteo Novaga, Marcello Ponsiglione
This paper provides a unified point of view on fractional perimeters and Riesz potentials. Denoting by - for - the -fractional perimeter and by - for $σ…
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…