L. Luca

activity

20172021

collaborators

5 papers

math.AP2021

The variational approach to $s$ -fractional heat flows and the limit cases $s \to 0^{+}$ and $s \to 1^{-}$

Lucia De Luca, Vito Crismale, Andrea Kubin +2

This paper deals with the limit cases for $s$ -fractional heat flows in a cylindrical domain, with homogeneous Dirichlet boundary conditions, as $s \to 0^{+}$ and $s \to 1^{-}$ \,. To this…

math.AP2020

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…

math.FA2019

The $0$ -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 $H^{σ}$ - for $σ \in (0, 1)$ - the $σ$ -fractional perimeter and by $J^{σ}$ - for $σ…

math.AP2017

Low energy configurations of topological singularities in two dimensions: A $Γ$ -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…

math.AP2017

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…

The variational approach to s-fractional heat flows and the limit cases s→0+ and s→1−

Stability results for nonlocal geometric evolutions and limit cases for fractional mean curvature flows

The 0-fractional perimeter between fractional perimeters and Riesz potentials

Low energy configurations of topological singularities in two dimensions: A Γ-convergence analysis of dipoles

Minimising movements for the motion of discrete screw dislocations along glide directions

The variational approach to $s$ -fractional heat flows and the limit cases $s \to 0^{+}$ and $s \to 1^{-}$

The $0$ -fractional perimeter between fractional perimeters and Riesz potentials

Low energy configurations of topological singularities in two dimensions: A $Γ$ -convergence analysis of dipoles