1 citations · 2 across the 6 of their papers we have counts for
3 papers · 2 filters
A system of continuity equations with nonlocal interactions of Morse type
Marco Di Francesco, Valeria Iorio
We study a system of two continuity equations with nonlocal velocity fields using interaction potentials of both attractive and repulsive Morse type. Such a system is of interest i…
Small inertia limit for coupled kinetic swarming models
Young-Pil Choi, Simone Fagioli, Valeria Iorio
We investigate various versions of multi-dimensional systems involving many species, modeling aggregation phenomena through nonlocal interaction terms. We establish a rigorous conn…
The approximation of the quadratic porous medium equation via nonlocal interacting particles subject to repulsive Morse potential
Marco Di Francesco, Valeria Iorio, Markus Schmidtchen
We propose a deterministic particle method for a one-dimensional nonlocal equation with interactions through the repulsive Morse potential. We show that the particle method converg…