New a priori estimates for mean-field games with congestion

Luogo:   Dipartimento di Matematica, via Sommarive, 14 - Povo (TN) - Aula Seminari
Ore 15.00

Relatore: 

• David Evangelista da Silveira Junior (Kaust, Saudi Arabia)

Abstract:
We present recent developments in crowd dynamics models (e.g. pedestrian flow problems). Our formulation is given by a mean-field game with congestion. We start by reviewing earlier models and results. Next, we  develop our model. Then, we establish new a priori estimates that give partial regularity of the solutions.

David Evangelista is a PhD student in mathematics at Kaust in Saudi Arabia, under the supervision of Diogo Gomes. He is now in Verona (until the end of June) for a summer internship jointly coordinated by Trento and Verona.

Referente: Fabio Bagagiolo