8 citations · 8 across the 2 of their papers we have counts for
5 papers
Nonlocal reaction traffic flow model with on-off ramps
F. A. Chiarello, H. D. Contreras, L. M. Villada
We present a non-local version of a scalar balance law modeling traffic flow with on-ramps and off-ramps. The source term is used to describe the traffic flow over the on-ramp and…
A statistical mechanics approach to macroscopic limits of car-following traffic dynamics
Felisia Angela Chiarello, Benedetto Piccoli, Andrea Tosin
We study the derivation of macroscopic traffic models from car-following vehicle dynamics by means of hydrodynamic limits of an Enskog-type kinetic description. We consider the sup…
Multiscale control of generic second order traffic models by driver-assist vehicles
Felisia Angela Chiarello, Benedetto Piccoli, Andrea Tosin
We study the derivation of generic high order macroscopic traffic models from a follow-the-leader particle description via a kinetic approach. First, we recover a third order traff…
Fujita modified exponent for scale invariant damped semilinear wave equations
Felisia Angela Chiarello, Giovanni Girardi, Sandra Lucente
The aim of this paper is to prove a blow up result of the solution for a semilinear scale invariant damped wave equation under a suitable decay condition on radial initial data. Th…
Stability estimates for non-local scalar conservation laws
Felisia Angela Chiarello, Paola Goatin, Elena Rossi
We prove the stability of entropy weak solutions of a class of scalar conservation laws with non-local flux arising in traffic modelling. We obtain an estimate of the dependence of…