A Variational Model for Dislocations in the Line Tension Limit

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Gradient theory for plasticity via homogenization of discrete dislocations (2008, methodology): “As for the study of dislocations, a similar analysis was done by Garroni and Focardi ([11]) starting from a phase field model introduced by Koslowski, Cuitino and Ortiz ([17]) and inspired by the Peierls-Nabarro model (see also [12]).”
On a Fractional Ginzburg–Landau Equation and 1/2-Harmonic Maps into Spheres (2013, methodology): “Using this lemma, it is then elementary to see that Ĥ1/2(ω;Rm) is a Hilbert space for the scalar product associated to the norm v 7→ ‖v‖L2(ω) + (E(v, ω))1/2.”
Γ-convergence for nonlocal phase transitions (2012, unknown): “Moreover, in [16,17] the Γ -convergence of a functional driven by a norm of type 1 / and a more complicated potential on a two-dimensional square or torus, under a suitable pinning condition, was studied in detail Also, in [3,2], the Γ -convergence of an interaction energy with a double integral…”