11 citations · 13 across the 6 of their papers we have counts for
8 papers
A Mean Field Game approach for pollution regulation of competitive firms
Gianmarco Del Sarto, Marta Leocata, Giulia Livieri
We develop a model based on mean-field games of competitive firms producing similar goods according to a standard AK model with a depreciation rate of capital generating pollution…
Understanding the householder solar panel consumer: A Markovian model and its societal implications
Marta Leocata, Giulia Livieri, Silvia Morlacchi +3
Household adoption of rooftop photovoltaic (PV) systems is central to the green energy transition, yet diffusion depends on social influence and behavioral biases, as well as payba…
Structural properties in the diffusion of the solar photovoltaic in Italy: individual people/householder vs firms
Franco Flandoli, Fausto Corvino, Marta Leocata +3
This paper develops two mathematical models to understand subjects' behavior in response to the urgency of a change and inputs from governments e.g., (subsides) in the context of t…
On the Macroscopic limit of Brownian Particles with local interaction
Franco Flandoli, Marta Leocata, Cristiano Ricci
An interacting particle system made of diffusion processes with local interaction is considered and the macroscopic limit to a nonlinear PDE is investigated. Few rigorous results e…
A particle system approach to aggregation phenomena
Franco Flandoli, Marta Leocata
Inspired by a PDE-ODE system of aggregation developed in the biomathematical literature, an interacting particle system representing aggregation at the level of individuals is inve…
The Navier-Stokes-Vlasov-Fokker-Planck system as a scaling limit of particles in a fluid
Franco Flandoli, Marta Leocata, Cristiano Ricci
Convergence of a system of particles, interacting with a fluid, to Navier-Stokes-Vlasov-Fokker-Planck system is studied. The interaction between particles and fluid is described by…
The Vlasov-Navier-Stokes equations as a mean field limit
Franco Flandoli, Marta Leocata, Cristiano Ricci
Convergence of particle systems to the Vlasov-Navier-Stokes equations is a difficult topic with only fragmentary results. Under a suitable modification of the classical Stokes drag…
A mathematical model for growth of solid tumors and combination therapy with an application to colorectal cancer
Valeria De Mattei, Franco Flandoli, Marta Leocata +2
We present a mathematical model, based on ordinary differential equations, for the evolution of solid tumors and their response to treatment. Specifically the effects of a cytotoxi…