6 citations · 29 across the 10 of their papers we have counts for
4 papers · 2 filters
Coupling conditions for the 3x3 Euler system
Rinaldo M. Colombo, Francesca Marcellini
This paper is devoted to the extension to the full Euler system of the basic analytical properties of the equations governing a fluid flowing in a duct with varying sect…
A 2-phase traffic model based on a speed bound
Rinaldo M. Colombo, Francesca Marcellini, Michel Rascle
We extend the classical LWR traffic model allowing different maximal speeds to different vehicles. Then, we add a uniform bound on the traffic speed. The result, presented in this…
On the 1D Modeling of Fluid Flowing through a Junction
Rinaldo M. Colombo, Mauro Garavello
Consider a fluid flowing through a junction between two pipes with different sections. Its evolution is described by the 2D or 3D Euler equations, whose analytical theory is far fr…
Control of the Continuity Equation with a Non Local Flow
Rinaldo M. Colombo, Michael Herty, Magali Mercier
This paper focuses on the optimal control of weak (i.e. in general non smooth) solutions to the continuity equation with non local flow. Our driving examples are a supply chain mod…