2 papers
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.NA2016
Asymptotic problems and numerical schemes for traffic flows with unilateral constraints describing the formation of jams
Florent Berthelin, Thierry Goudon, Bastien Polizzi +1
We discuss numerical strategies to deal with PDE systems describing traffic flows, taking into account a density threshold, which restricts the vehicles density in the situation of…