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math.AP2024
Measure solutions, smoothing effect, and deterministic particle approximation for a conservation law with nonlocal flux
M. Di Francesco, S. Fagioli, E. Radici
We consider a class of nonlocal conservation laws with an interaction kernel supported on the negative real half-line and featuring a decreasing jump at the origin. We provide, for…
math.AP2022
Optimal transport with nonlinear mobilities: a deterministic particle approximation result
Simone Di Marino, Lorenzo Portinale, Emanuela Radici
We study the discretization of generalized Wasserstein distances with nonlinear mobilities on the real line via suitable discrete metrics on the cone of N ordered particles, a sett…