8 papers
The petrol station game: the regional average price. A mean field analysis
Fabio Bagagiolo, Federico Pontiroli, Ivan Romanò
In January 2023, the obligation for petrol stations to display the average fuel price calculated on a regional basis was introduced by the Italian Government. A mean field game mod…
State-constrained optimal control of the continuity equation and infinite-dimensional viscosity solutions
Fabio Bagagiolo, Ivan Romanò
We study a finite horizon optimal control problem for the continuity equation under a weighted integral state constraint on the mass outside a fixed set. The model is cast in a Hil…
Modelling of the bonding process for a non-woven fabric: analysis and numerics
F. Bagagiolo, E. Bertolazzi, L. Marzufero +2
This paper presents research conducted at the University of Trento addressing an industrial challenge from Fater S.p.A. regarding the thermal bonding of non-woven fabrics for diape…
Wave-front tracking for a quasi-linear scalar conservation law with hysteresis II: the case of Preisach
Fabio Bagagiolo, Stefan Moreti
We consider the Cauchy problem for the quasi-linear scalar conservation law \[u_t+\mathcal{F}(u)_t+u_x=0,\] where is a specific hysteresis operator. Hysteresis models…
Flows of vector fields and the Kalman Theorem
Fabio Bagagiolo, Cristina Giannotti, Andrea Spiro +1
We give two proofs of the Kalman Theorem, alternative to the most common ones, which infer such a classical result of Control Theory using just very basic facts on flows of vector…
A zero-sum differential game for two opponent masses
Fabio Bagagiolo, Rossana Capuani, Luciano Marzufero
We investigate an infinite dimensional partial differential equation of Isaacs' type, which arises from a zero-sum differential game between two masses. The evolution of the two ma…