Research interests
Research interests
Hamilton-Jacobi equations, optimal control, hybrid control, differential games, continuity and transport equations, mean-field games.
Hamilton-Jacobi equations, optimal control, hybrid control, differential games, continuity and transport equations, mean-field games.
(with A. Festa and F. Camilli) Approximation of viscous transport and conservative equations with one sided Lipschitz velocity fields, accepted for publication in SIAM Journal on Numerical Analysis, 2026.
Preprint version: arXiv:2505.08970
(with A. Festa and F. Camilli) A network model for urban planning, accepted for publication in Journal of Optimization Theory and Applications, 2026.
Preprint version: arXiv:2408.05140
(with F. Bagagiolo, E. Bertolazzi, A. Pegoretti and D. Rigotti) Modelling of the bonding process for a non-woven fabric: analysis and numerics, Communications in Applied and Industrial Mathematics, 16(1), 62–81, 2025. (arXiv:2502.06391).
Preprint version: arXiv:2502.06391
(with F. Bagagiolo and R. Capuani) A zero-sum differential game for two opponent masses, Partial Differential Equations and Applications, 6, 19, 2025.
DOI: 10.1007/s42985-025-00322-5
Preprint version: arXiv:2408.03860
(with F. Bagagiolo and R. Capuani) A single player and a mass of agents: a pursuit-evasion like game, ESAIM: Control, Optimisation and Calculus of Variations, 30, 17, 2024.
DOI: 10.1051/cocv/2024009
Preprint version: arXiv:2302.05742
(with F. Bagagiolo) A time-dependent switching mean-field game on networks motivated by optimal visiting problems, Journal of Dynamics and Games, 10(2), 151–180, 2023 (Early access: September 2022).
DOI: 10.3934/jdg.2022019
Preprint version: arXiv:2201.00260
(with F. Bagagiolo and A. Festa) Hybrid control for optimal visiting problems for a single player and for a crowd, Nonlinear Differential Equations and Applications, 29(1), 4, 2022 (Early access: December 2021).
DOI: 10.1007/s00030-021-00737-0
Preprint version: arXiv:2012.08596
(with F. Bagagiolo and A. Festa) The orienteering problem: a hybrid control formulation, IFAC-PapersOnLine, 54(5), 175–180, 2021.
DOI: 10.1016/j.ifacol.2021.08.494
Preprint version: arXiv:2012.07712
(with F. Bagagiolo and A. Festa) A hybrid control framework for an optimal visiting problem, IFAC-PapersOnLine, 54(5), 241–246, 2021.
DOI: 10.1016/j.ifacol.2021.08.505
Preprint version: arXiv:2012.07705
(with A. Bitetto and D. Ghilli) An economic environmental model via mean-field games on graphs: analytical study and data assimilation, in preparation.
(with F. Bagagiolo and E. Bertolazzi) A mechanical model for raw non-woven fabrics with fiber-tag interactions, in preparation.
(with F. Bagagiolo and R. Capuani) A mean-field differential game for N players and an exogenous population, in preparation.
Some optimal visiting problems: from a single player to a mean-field type model, Ph.D. Thesis in Mathematics, XXXIV Cycle, University of Trento, 2022.