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math.AP2026
Two-species system with nonlocal interactions driven by Riesz potentials
Simone Fagioli, Valeria Iorio
This paper investigates a system of nonlocal continuity equations modelling the interaction of two species coupled through Riesz-type potentials. The model incorporates self- and c…
math.AP2026
Fully discrete follow-the-leader approximation of one-dimensional scalar conservation laws with vacuum
M. Di Francesco, S. Fagioli, V. Iorio +1
We present a fully discrete particle approximation for one-dimensional scalar conservation laws. Under suitable monotonicity assumptions on the macroscopic velocity, we construct a…