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21 Giugno, 2024 11:00 in punto
Seminario Matematico e Fisico di Milano

Nonlocal minimal surfaces: regularity, stickiness, sheeting phenomena

Enrico Valdinoci, University of Western Australia
Sala Consiglio, settimo piano, Dipartimento di Matematica, Edificio 14 "La Nave", Politecnico di Milano
Abstract

At a large scale, minimal solutions of long-range phase coexistence equations tend to separate pure phases through an interface minimizing a nonlocal perimeter functional. These new geometric objects have something in common with classical minimal surfaces, but also exhibit several new and very specific patterns, which we will try to investigate and present.