4 papers
Hydrodynamic Limit of a Viscous BGK Model of the Boltzmann Equation
Gabriella Puppo, Thomas Rey, Tommaso Tenna
In this paper, we investigate a viscous regularization for the BGK model of the Boltzmann equation and its hydrodynamic limit. First, we establish rigorous convergence toward the v…
Formal derivation of an isentropic two-phase flow model from the multi-species Boltzmann equation
Gabriella Puppo, Thomas Rey, Tommaso Tenna
Starting from the multi-species Boltzmann equation for a gas mixture, we propose the formal derivation of the isentropic two-phase flow model introduced in [Romenski, E., and Toro,…
A multi-class non-local macroscopic model with time delay for mixed autonomous / human-driven traffic
Ilaria Ciaramaglia, Paola Goatin, Gabriella Puppo
In this paper, we present a class of systems of non-local conservation laws in one space-dimension incorporating time delay, which can be used to investigate the interaction betwee…
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…