A sharp critical threshold for a traffic flow model with look-ahead dynamics
classification
🧮 math.AP
keywords
criticalflowlook-aheadmodelsharpthresholdtrafficarrhenius
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We study a nonlocal traffic flow model with an Arrhenius type look-ahead interaction. We show a sharp critical threshold condition on the initial data which distinguishes the global smooth solutions and finite time wave break-down.
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