‎‎ ‎ ‎‎ ‎ ‎‎ ‎ ‎‎ ‎ ‎ ‎ ‎ ‎ ‎ New Challenges in Calculus of Variations

Phase-field approximation of sharp-interface energies accounting for lattice symmetry

15 Jul 2026, 12:10

50m

Aula Dini (Palazzo del Castelletto)

Speaker

Vito Crismale (Sapienza Università di Roma)

Description

The talk concerns a phase field approximation for sharp interface energies, defined on partitions, as appropriate for modeling grain boundaries in polycrystals. The label takes value in O(d)/G, where G is the point group of a lattice. The limiting surface energy behaves for small angles as s|log s|, according to the Read and Shockley law. These functionals can be used for image reconstruction of grain boundaries. Joint work with S. Conti (HCM Bonn), A. Garroni, A. Malusa (Sapienza).