Uniform energy distribution for a pattern-forming system of surface charges.

par Antoine Julia

lundi 23 nov. 2020, 10:00 → 11:00 Europe/Paris

À distance

In a physical system which involves competing long-range and short-range interactions, one heuristically expects the formation of patterns (or some kind of periodicity). I will present a simple variational model, derived from the Ohta-Kawasaki model for block copolymers, and show how one can prove that the energy of minimizers is uniformly distributed at large scales; a necessary condition for the existence of patterns.
    This talk will be based on a recent joint work with Katarina Bellova et Felix Otto, and on a paper by Giovani Alberti, Rustum Choksi and Felix Otto about a similar system.