86 citations · 94 across the 11 of their papers we have counts for
3 papers · 1 filter
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…
Two-dimensional pseudo-gravity model
Julien Barré, Dan Crisan, Thierry Goudon
We analyze a simple macroscopic model describing the evolution of a cloud of particles confined in a magneto-optical trap. The behavior of the particles is mainly driven by self--c…
Particles interacting with a vibrating medium: existence of solutions and convergence to the Vlasov--Poisson system
Stephan De Bièvre, Arthur Vavasseur, Thierry Goudon
We are interested in a kinetic equation intended to describe the interaction of particles with their environment. The environment is modeled by a collection of local vibrational de…