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math.AP2023
Topological singularities arising from fractional-gradient energies
Roberto Alicandro, Andrea Braides, Margherita Solci +1
We prove that, on a planar regular domain, suitably scaled functionals of Ginzburg-Landau type, given by the sum of quadratic fractional Sobolev seminorms and a penalization term v…
math.AP2023
-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…