7 citations · 7 across the 4 of their papers we have counts for
6 papers
Parabolic -Riesz flows and limit cases ,
Lucia De Luca, Massimiliano Morini, Marcello Ponsiglione +1
In this paper we introduce the notion of parabolic -Riesz flow, for , extending the notion of -fractional heat flows to negative values of the parameter $s=-\fracα…
-convergence analysis of the nonlinear self-energy induced by edge dislocations in semi-discrete and discrete models in two dimensions
Roberto Alicandro, Lucia De Luca, Mariapia Palombaro +1
We propose nonlinear semi-discrete and discrete models for the elastic energy induced by a finite systems of edge dislocations in two dimensions. Within the dilute regime, we analy…
Two slope functions minimizing fractional seminorms and applications to misfit dislocations
Lucia De Luca, Marcello Ponsiglione, Emanuele Spadaro
We consider periodic piecewise affine functions, defined on the real line, with two given slopes and prescribed length scale of the regions where the slope is negative. We prove th…
Semi-discrete modeling of systems of wedge disclinations and edge dislocations via the Airy stress function method
Pierluigi Cesana, Lucia De Luca, Marco Morandotti
We present a variational theory for lattice defects of rotational and translational type. We focus on finite systems of planar wedge disclinations, disclination dipoles, and edge d…
Coarse-graining of a discrete model for edge dislocations in the regular triangular lattice
Roberto Alicandro, Lucia De Luca, Giuliano Lazzaroni +2
We consider a discrete model of planar elasticity where the particles, in the reference configuration, sit on a regular triangular lattice and interact through nearest neighbor pai…
Classification of particle numbers with unique Heitmann-Radin minimizer
Lucia De Luca, Gero Friesecke
We show that minimizers of the Heitmann-Radin energy (R. C. Heitmann, C. Radin, J. Stat. Phys. 22, 281-287, 1980) are unique if and only if the particle number N belongs to an infi…