3 papers
math.AP2009
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…
math.AP2006
On the existence and compactness of a two-dimensional resonant system of conservation laws
Kenneth H. Karlsen, Michel Rascle, Eitan Tadmor
We prove the existence of a weak solution to a two-dimensional resonant 3x3 system of conservation laws with BV initial data. Due to possible resonance (coinciding eigenvalues), sp…
physics.soc-ph2006
Balanced vehicular traffic at a bottleneck
Florian Siebel, Wolfram Mauser, Salissou Moutari +1
The balanced vehicular traffic model is a macroscopic model for vehicular traffic flow. We use this model to study the traffic dynamics at highway bottlenecks either caused by the…