5 papers
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…
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…
Modelling of the bonding process for a non-woven fabric: analysis and numerics
F. Bagagiolo, E. Bertolazzi, L. Marzufero +2
This paper presents research conducted at the University of Trento addressing an industrial challenge from Fater S.p.A. regarding the thermal bonding of non-woven fabrics for diape…
A zero-sum differential game for two opponent masses
Fabio Bagagiolo, Rossana Capuani, Luciano Marzufero
We investigate an infinite dimensional partial differential equation of Isaacs' type, which arises from a zero-sum differential game between two masses. The evolution of the two ma…
A single player and a mass of agents: a pursuit evasion-like game
Fabio Bagagiolo, Rossana Capuani, Luciano Marzufero
We study a finite-horizon differential game of pursuit-evasion like, between a single player and a mass of agents. The player and the mass directly control their own evolution, whi…