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Seminario

Controlling flows on networks via time-varying Riemann Solvers

Seminar of the Department of Mathematics
23 maggio 2024
Orario di inizio 
14:30
Polo Ferrari 1 - Via Sommarive 5, Povo (Trento)
Room A214
Organizzato da: 
Department of Mathematics
Destinatari: 
Comunità universitaria
Partecipazione: 
Ingresso libero
Referente: 
Prof. Fabio Bagagiolo
Contatti: 
Staff Dipartimento di Matematica
0461/281511-1625-1701
Speaker: 
Cesare Straffelini (Phd student in Mathematics)

Abstract:
We consider the Cauchy problem for a conservation law on networks with generic Riemann Solvers at nodes depending on parameters. Riemann Solvers can be seen as control functions, moreover parameters can vary in time. Using estimates on the total variation of the fluxes, via the front-wave tracking method, a solution to the Cauchy problem with bounded variation initial datum is found. 

The seminar corresponds to the final exam of “Advances in Mathematical Analysis and Applications. Euscotha: Euregio School on Control Theory and Applications