Modeling, analysis, and control of multi-agent systems across scales

Deterministic particle approximations for nonlocal transport equations

speaker: Emanuela Radici (Università dell'Aquila)

abstract: We consider scalar transport equations involving nonlocal interaction terms and different kinds of mobility and we present how to obtain unique entropy solutions as many particle limits of suitable nonlocal versions of the deterministic Follow-the-leader scheme, which can be interpreted as the discrete Lagrangian approximation of the target pde. We discuss both the cases of linear and nonlinear mobilities as well as how the evolution is affected when a diffusive operator is taken into account. The content of this talk is based on several works obtained in collaborations with S. Daneri, M. Di Francesco, S. Fagioli, E. Marconi, E. Runa and F. Stra.

timetable:
Thu 25 Jan, 15:20 - 16:10, Aula Dini
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