Rinaldo M. Colombo

Professor

INdAM Unit
c/o Department of Information Engineering
University of Brescia
Via Branze 38
25123 Brescia, Italy

Phone: [+] 39 030 371 5460
E-mail: Rinaldo.Colombo (at) UniBs.It
URL: rinaldo-colombo.unibs.it/
LinkedIn: linkedin.com/in/rinaldo-colombo/
R.M. Colombo


Research

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.

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Editorial Activity

Discrete and Continuous Dynamical Systems: Information for Authors, Submission
Journal of Hyperbolic Differential Equations: Information for Authors, Submission
Journal of Mathematical Analysis and Applications: Information for Authors, Submission
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Collaborations (MathSciNet Co-authors)

Mauro Garavello Dipartimento di Matematica e Applicazioni - Università di Milano-Bicocca
Katrin Grunert Norwegian University of Science and Technology
Graziano Guerra Dipartimento di Matematica e Applicazioni - Università di Milano - Bicocca
Helge Holden Norwegian University of Science and Technology
Francesca Marcellini DII - Università degli Studi di Brescia
Vincent Perrollaz Institut Denis Poisson - Université de Tours
Nils H. Risebro Department of Mathematics - University of Oslo
Elena Rossi Dipartimento di Scienze e Metodi dell'Ingegneria - Università di Modena e Reggio Emilia
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Meetings & Conferences

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

Past
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