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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; 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. I've been concerned also with the modeling of the Covid-19 spreading. If interested, visit this page.
More recently, I got interested in the use of partial differential equations to encrypt and decrypt text messages or images, here is a first result in this direction and more are coming.
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 |