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On non-entropy solutions of scalar conservation laws for traffic flow. (English) Zbl 1013.90021

Summary: We consider traffic flow models described by a scalar conservation law. For realistic equilibrium velocity distributions we show that the entropy condition gives solutions not corresponding to the reality. An alternative condition is formulated which seems to select reasonable solutions. Two examples, the “bump” and the “cluster”, are discussed.

MSC:

90B20 Traffic problems in operations research
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