2 papers
math.AP2022
Second order two-species systems with nonlocal interactions: existence and large damping limits
Marco Di Francesco, Simone Fagioli, Valeria Iorio
We study the mathematical theory of second order systems with two species, arising in the dynamics of interacting particles subject to linear damping, to nonlocal forces and to ext…
math.AP2020
Many-particle limit for a system of interaction equations driven by Newtonian potentials
Marco Di Francesco, Antonio Esposito, Markus Schmidtchen
We consider a discrete particle system of two species coupled through nonlocal interactions driven by the one-dimensional Newtonian potential, with repulsive self-interaction and a…