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math.AP2023
Impact of interaction forces in first order many-agent systems for swarm manufacturing
Ferdinando Auricchio, Massimo Carraturo, Giuseppe Toscani +1
We study the large time behavior of a system of interacting agents modeling the relaxation of a large swarm of robots, whose task is to uniformly cover a portion of the domain by c…
math.AP2023
Trends to equilibrium for a nonlocal Fokker-Planck equation
Ferdinando Auricchio, Giuseppe Toscani, Mattia Zanella
We obtain equilibration rates for a one-dimensional nonlocal Fokker-Planck equation with time-dependent diffusion coefficient and drift, modeling the relaxation of a large swarm of…