Seminario delle Dottorande e dei Dottorandi

The next seminar will be Tuesday the 12th of July at 16.30 in room Tricerri.
The speaker will be  Luca Briani (Università di Pisa).

Tuesday, July 12, 2022, 16:30 - 17:30
Aula Tricerri

Speaker: Luca Briani (Università di Pisa)

Title: Is there an optimal shape?

Abstract: How to construct a rod of maximum rigidity? Which body moves in a fluid with the least resistance? Among sets of given area, which has the smallest perimeter? In a shape optimization problem, the objective is to deform and modify the shape of a given object to minimize (or maximize) a cost function.
From a mathematical point of view, the most intriguing feature is that the competing objects are shapes (i.e. subsets of R^N) rather than functions. We will discuss some classical problems (some of which are still open) and introduce the mathematical framework that can be used to obtain existence results.