Analysis Seminar

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On the energy driven pattern formation for local/non-local systems

Speaker: Eris Runa, Gran Sasso Science Institute, L’Aquila

Location: Warren Weaver Hall 1302

Date: Thursday, February 2, 2023, 11 a.m.

Synopsis:

In this talk I will show symmetry breaking and pattern formation for a family of functionals with local/non-local interactions in general dimension. Such functionals arise naturally in applications and contain a local term penalizing interfaces, and a non-local term favoring oscillations. The equilibrium between these two terms will result in the emergence of pattern formation. In particular we will show that the minimizers are periodic stripes.