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INdAM Unit
E-mail: Rinaldo.Colombo (at) UniBs.It URL: rinaldo-colombo.unibs.it/ LinkedIn: linkedin.com/in/rinaldo-colombo/ |
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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; lane formation); traffic flow; interactions between individuals and populations (the Pied Piper, dogs and sheep, also without PDEs); supply chains; blood flow; gas dynamics (a piston hit by a shock wave); mixed hyperbolic-parabolic models for predator-prey interactions (hunting); phase transitions and combustion; management of renewable resources; granular matter. I have also worked on the modeling of the spread of Covid-19. If interested, visit this page.
More recently, I have begun investigating the use of partial differential equations to encrypt and decrypt text messages and images. A first result in this direction is available here, and further work is in progress.
Here is a list of my publications. For further information, find me on MathSciNet, Zentralblatt, ORCID, Scopus, WoS.
| 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 | 09-13.06.2025 |
| International Workshop on Recent Trends on Nonlinear Hyperbolic Conservation Laws | 10-12.04.2026 |
| Hyp2026 | 25-29.05.2026 |
| DEOTIA26 | 03-07.06.2026 |
| Nonlinear Evolution Equation and Control | 15-19.06.2026 |
| Trends in Data-Driven Control of Dynamics | 28-30.09.2026 |
| Advances in PDE Modeling of Vehicular Traffic and Its Societal Impact | 24-28.05.2027 |