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8 papers · 2 filters
A multi-scale multi-lane model for traffic regulation via autonomous vehicles
Paola Goatin, Benedetto Piccoli
We propose a new model for multi-lane traffic with moving bottlenecks, e.g., autonomous vehicles (AV). It consists of a system of balance laws for traffic in each lane, coupled in…
Non-local traffic flow models with time delay: well-posedness and numerical approximation
Ilaria Ciaramaglia, Paola Goatin, Gabriella Puppo
We prove the well-posedness of weak entropy solutions of a scalar non-local traffic flow model with time delay. Existence is obtained by convergence of finite volume approximate so…
On a Hamiltonian regularization of scalar conservation laws
Billel Guelmame
In this paper, we propose a Hamiltonian regularization of scalar conservation laws, which is parametrized by and conserves an energy. We prove the existence of glo…
Global weak solutions of the Serre-Green-Naghdi equations with surface tension
Billel Guelmame
We consider in this paper the Serre--Green--Naghdi equations with surface tension. Smooth solutions of this system conserve an -equivalent energy. We prove the existence of gl…
Entropy solutions in for a class of triangular systems involving a transport equation
Christian Bourdarias, Anupam Pal Choudhury, Billel Guelmame +1
In this article, we consider a class of strictly hyperbolic triangular systems involving a transport equation. Such systems are known to create measure solutions for the initial va…
Hamiltonian regularisation of the unidimensional barotropic Euler equations
Billel Guelmame, Didier Clamond, Stéphane Junca
Recently, a Hamiltonian regularised shallow water (Saint-Venant) system has been introduced by Clamond and Dutykh. This system is Galilean invariant, linearly non-dispersive and co…