6 papers
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…
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…
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…
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…
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,…
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…