INdAM Unit
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I like to tackle analytical problems related to Hyperbolic Conservation Laws grounded in realistic motivations. By analytical problems I mean: basic well posedness or stability issues, optimal control problems and games, typically non cooperative.
In particular, I'm involved in formulating and studying models inspired by biology (epidemics, vaccination strategies) or concerning crowd dynamics (classroom evacuation; lanes formation); traffic flow; individuals-population interactions (the Pied Piper, dogs and sheeps, also without p.d.e.s); supply chains; blood flow; gas dynamics (a piston hit by a shock wave); mixed hyperbolic-parabolic models for predators-prey interactions (hunting); phase transitions and combustion; management of renewable resources; granular matter.
More recently, I've been concerned with the modeling of the Covid-19 spreading. If interested, visit this page.
Here is a list of my publications. For further information, find me on MathSciNet, Zentralblatt, ORCID, Scopus, WoS.
A Hyperbolic Day in Brescia | 21.04.2022 |
HYP 2022 | 20-24.06.2022 |
15th Viennese Conference on Optimal Control and Dynamic Games | 12-15.07.2022 |
NHR 60 | 12-14.09.2022 |
First order problems on networks and applications | 18-20.01.2023 |
Conservation Laws & Surroundings | 08-10.05.2023 |
Workshop MSE | 18-19.05.2023 |
Workshop on Mathematical modeling, Analysis and Approximation of Vehicular and Pedestrian Dynamics | 05-08.06.2023 |
Traffic and autonomy | 21-23.06.2023 |
SIMAI Biannual Meeting | 28.08-01.09.2023 |
DSABNS 2024 | 06-09.02.2024 |
EquaDiff 2024 | 10-14.06.2024 |
ECM 2024 | 15-19.07.2024 |
UMI - AMS 2024 | 23-26.07.2024 |
Nonlocal Modelling in Fluidmechanical Applications | 02-04.09.2024 |
MOG 2024 | 10-11.10.2024 |
DSABNS 2025 | 20-24.01.2025 |
Hyperbolic PDES: Theorems and Applications | 21-23.05.2025 |
Modeling, Control and Games through Partial Differential Equations | 02-04.09.2025 |
Hydrodynamic limits of interacting agent systems | 9-13.06.2025 |