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20082026
most citedRigorous derivation of nonlinear scalar conservation laws from follow-the-leader type models via many particle limit

93 citations · 118 across the 18 of their papers we have counts for

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math.AP2026

On a system of conservation laws with discontinuous flux

Felisia Angela Chiarello, Simone Fagioli, Bastien Polizzi +1

We study a one-dimensional system of conservation laws with discontinuous flux. We prove the global existence of weak solutions for initial data with sufficiently small total…

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…