7 citations · 15 across the 9 of their papers we have counts for
Showing 2018 · math.APShow all
3 papers · 2 filters
math.AP2018
A model for traffic flow encoding hysteresis
Andrea Corli, Haitao Fan
A simple macroscopic model for the vehicular traffic flow with hysteresis is proposed. The model includes drivers' hysteresis behavior into the classical Lighthill-Whitham-Richard…
math.AP2018
Viscous profiles in models of collective movements with negative diffusivities
Andrea Corli, Luisa Malaguti
In this paper we consider an advection-diffusion equation, in one space dimension, whose diffusivity can be negative. Such equations arise in particular in the modeling of vehicula…
math.AP2018★ 1 cited
Vanishing Viscosity Limits of Scalar Equations with Degenerate Diffusivity
Giuseppe Coclite, Andrea Corli, Lorenzo di Ruvo
We consider a scalar, possibly degenerate parabolic equation with a source term, in several space dimensions. For initial data with bounded variation we prove the existence of solu…