12 citations · 32 across the 16 of their papers we have counts for
19 papers
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…
Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model
Debora Amadori, Felisia Angela Chiarello, Gianmarco Cipollone +2
In this paper, we study a system of nonlocal conservation laws motivated by traffic flow: a nonlocal version of the generalized Aw-Rascle-Zhang (GARZ) model. The nonlocality arises…
Nonlocal conservation laws with p-norm, the singular limit problem and applications to traffic flow
Felisia Angela Chiarello, Alexander Keimer, Lukas Pflug
In this contribution, we study scalar nonlocal conservation laws with the -norm. Here, 'nonlocal' means that the velocity of the conservation law depends on an integral term in…
A nonlocal Aw-Rascle-Zhang system with linear pressure term
Debora Amadori, Felisia Angela Chiarello, Gianmarco Cipollone
In this paper, we study a nonlocal extension of the Aw-Rascle-Zhang traffic model, where the pressure-like term is modeled as a convolution between vehicle density and a kernel fun…
Blow up for nonlinear wave-type equations with perturbed derivatives
F. A. Chiarello, G. Girardi, S. Lucente
We investigate semilinear wave-type equations that can be recast as wave equations with derivatives perturbed by zero-order terms. This framework covers several well-studied cases,…
Existence result for a 2 x 2 system of conservation laws with discontinuous flux and applications
Felisia Angela Chiarello, Simone Fagioli, Massimiliano Daniele Rosini
This paper is concerned with one-dimensional 2 x 2 systems of conservation laws with a flux f=f(x, U) that is discontinuous with respect to the spatial variable. No monotonicity as…
Euler-flocking system with nonlocal dissipation in 1D: periodic entropy solutions
D. Amadori, F. A. Chiarello, C. Christoforou
We consider a hydrodynamic model of flocking-type with all-to-all interaction kernel in a periodic domain in one-space dimension with linear pressure term. The main result is the g…
On the singular limit problem in nonlocal balance laws: Applications to nonlocal lane-changing traffic flow models
Felisia Angela Chiarello, Alexander Keimer
We present a convergence result from nonlocal to local behavior for a system of nonlocal balance laws. The velocity field of the underlying conservation laws is diagonal. In contra…
A non-local traffic flow model for 1-to-1 junctions with buffer
F. A. Chiarello, J. Friedrich, S. GÖttlich
Inthispaper,weintroduceanon-localPDE-ODEtrafficmodeldevotedtothedescriptionof a 1-to-1 junction with buffer. We present an existence result in the free flow case as well as a numer…
Hydrodynamic traffic flow models including random accidents: A kinetic derivation
Felisia Angela Chiarello, Simone Göttlich, Thomas Schilliger +1
We present a formal kinetic derivation of a second order macroscopic traffic model from a stochastic particle model. The macroscopic model is given by a system of hyperbolic partia…
Stability estimates for nonlocal balance laws arising in traffic modelling
Felisia Angela Chiarello, Harold Deivi Contreras
This paper focuses on the proof of the stability of entropy weak solutions of a nonlocal balance law modeling vehicular traffic flow on a road with on- and off-ramps. The stability…
Macroscopic limits of non-local kinetic descriptions of vehicular traffic
Felisia Angela Chiarello, Andrea Tosin
We study the derivation of macroscopic traffic models out of optimal speed and follow-the-leader particle dynamics as hydrodynamic limits of non-local Povzner-type kinetic equation…
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…
Existence of entropy weak solutions for 1D non-local traffic models with space-discontinuous flux
Felisia Angela Chiarello, Harold Deivi Contreras, Luis Miguel Villada
We study a 1D scalar conservation law whose non-local flux has a single spatial discontinuity. This model is intended to describe traffic flow on a road with rough conditions. We a…
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…
Non-local scalar conservation laws with discontinuous flux
Felisia Angela Chiarello, Giuseppe Maria Coclite
We prove the well-posedness of entropy weak solutions for a class of space-discontinuous scalar conservation laws with non-local flux arising in traffic modeling. We approximate th…
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…