11 citations · 11 across the 1 of their papers we have counts for
4 papers
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…