[Dottorcomp] Seminari di Matematica Applicata, 19/03/2025, Davide Carazzato

[Stefano Lisini]

Seminari di Matematica Applicata, Dipartimento di Matematica "F. Casorati"
e Istituto del CNR IMATI "E. Magenes" di Pavia.

Mercoledì 19 Marzo 2025, alle ore 15 precise, presso l'aula Beltrami del
Dipartimento di Matematica,

Davide Carazzato (University of Vienna)

terrà un seminario dal titolo:

A partial optimal transport functional in an isoperimetric problem.

Abstract: We consider a shape optimization problem of isoperimetric type,
containing a repulsive term defined in terms of an optimal transport
problem. We provide a brief introduction about the basic geometric
properties of the partial optimal transport term, and we focus on its
maximizers to sustain the intuition about its repulsive nature. In fact,
through a symmetrization technique, we show that the unique maximizer of
the optimal transport term is the ball, in complete competition with the
perimeter term. This is based on a joint work with Almut Burchard and Ihsan
Topaloglu.


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https://matematica.unipv.it/ricerca/cicli-di-seminari/seminari-di-matematica-applicata/