3 papers
math.NA2026
Approximation of viscous transport and conservative equations with one sided Lipschitz velocity fields
Fabio Camilli, Adriano Festa, Luciano Marzufero
The aim of this work is to investigate semi-Lagrangian approximation schemes on unstructured grids for viscous transport and conservative equations with measurable coefficients tha…
math.OC2026
A network model for urban planning
Fabio Camilli, Adriano Festa, Luciano Marzufero
We study a mathematical model to describe the evolution of a city, which is determined by the interaction of two large populations of agents, workers and firms. The map of the city…
math.NA2026
A Mean Field Games Perspective on Evolutionary Clustering
Alessio Basti, Fabio Camilli, Adriano Festa
We propose a control-theoretic framework for evolutionary clustering based on Mean Field Games (MFG). Moving beyond static or heuristic approaches, we formulate the problem as a po…