5 citations · 5 across the 5 of their papers we have counts for
6 papers
Particle approximation of initial data for systems of conservation laws in two dimensions
Florent Berthelin
In this paper, we prove particle approximations of initial data for systems of conservation laws in two dimensions. This involves approaching the density but also all the additiona…
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…
Stochastic isentropic Euler equations
Florent Berthelin, Julien Vovelle
We study the stochastically forced system of isentropic Euler equations of gas dynamics with a -law for the pressure. We show the existence of martingale weak entropy solutions;…
A model for the evolution of traffic jams in multi-lane
Florent Berthelin, Damien Broizat
In [7], Berthelin, Degond, Delitala and Rascle introduced a traffic flow model describing the formation and the dynamics of traffic jams. This model consists of a Pressureless Gas…
A BGK approximation to scalar conservation laws with discontinuous flux
Florent Berthelin, Julien Vovelle
We study the BGK approximation to first-order scalar conservation laws with a flux which is discontinuous in the space variable. We show that the Cauchy Problem for the BGK approxi…
Averaging lemmas with a force term in the transport equation
F. Berthelin, S. Junca
We obtain several averaging lemmas for transport operator with a force term. These lemmas improve the regularity yet known by not considering the force term as part of an arbitrary…