Calculus of Variations and Geometric Measure Theory
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Crystallization Results for Optimal Location Problems

David Bourne (Heriot-Watt University)

created by gelli on 31 Jan 2016

10 feb 2016 -- 17:00   [open in google calendar]

Aula Magna (Dipartimento di Matematica di Pisa)

Abstract.

While it is believed that many particle systems have periodic ground states, there are few rigorous crystallization results in two and more dimensions. In this talk I will show how results by the Hungarian geometer László Fejes Tóth can be used to prove that an idealised block copolymer energy is minimised by the triangular lattice. I will also discuss a numerical method for a broader class of optimal location problems and some conjectures about minimisers in three dimensions. This is joint work with Mark Peletier, Steven Roper and Florian Theil.

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