Fisica Matematica Symmetry breaking and structure of minimizers for local/nonlocal interaction functionals Prof.ssa S. Daneri 22-10-2019 - 14:30 Largo San Leonardo Murialdo,1 - Pal.C - Aula 311
In this talk I will review some recent results obtained in collaboration with E. Runa and A. Kerschbaum on the one-dimensionality of the minimizers of a family of continuous local/nonlocal interaction functionals. Such functionals have a local term, typically the perimeter or its Modica-Mortola approximation, which penalizes interfaces, and a nonlocal term favouring oscillations which are high in frequency and in amplitude. The competition between the two terms is expected by experiments and simulations to give rise to periodic patterns at equilibrium. |