Optimal Transportation and Applications

Optimal design versus maximal Monge-Kantorovich metrics

speaker: Guy Bouchitté (Université de Toulon et du Var)

abstract: A remarkable connection between optimal design and Monge transport was discovered in the years 1997, in the context of the minimal elastic compliance problem, in which the euclidean metric cost was naturally involved. In this talk we will present different variants arising in optimal design of mechanical structures, focusing in particular on the optimization of the pre-stressed elastic sheet. We show that the underlying metric cost is associated with an unknown maximal monotone map which maximizes the Monge-Kantorovich distance between two measures.

timetable:
Fri 28 Oct, 9:00 - 9:45, Aula Dini
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