A sharp critical threshold for a traffic flow model with look-ahead dynamics (Q2129680)
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| Language | Label | Description | Also known as |
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| English | A sharp critical threshold for a traffic flow model with look-ahead dynamics |
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A sharp critical threshold for a traffic flow model with look-ahead dynamics (English)
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22 April 2022
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This paper considers a nonlocal LWR model. It has a slow-down effect depending on the traffic ahead. A sharp critical threshold condition on the initial data distinguishes global smooth solutions and finite-time wave breakdown. As a result, the nonlocal slowdown effect can help to prevent shock formations, for a class of subcritical initial data.
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nonlocal conservation law
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critical threshold
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global regularity
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shock formation
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Lighthill-Whitham-Richards (LWR) type model
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