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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…