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Hyperbolicity and Riemann invariants of a multi-class traffic flow LWR model. (Chinese. English summary) Zbl 1223.90018

Summary: A multi-class traffic flow LWR model is studied based on the theory of one-order hyperbolic conservation laws and a mathematical proof of the hypertonicity for this model is given. Furthermore, the Riemann invariants for the multi-class traffic flow LWR model are also studied. Last, the coherence between MCLWR model and LWR model is pointed out.

MSC:

90B20 Traffic problems in operations research
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