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• W4225511816 abstract "We study a class of traffic flow models with nonlocal look-ahead interactions. The global regularity of solutions depend on the initial data. We obtain sharp critical threshold conditions that distinguish the initial data into a trichotomy: subcritical initial conditions lead to global smooth solutions, while two types of supercritical initial conditions lead to two kinds of finite time shock formations. The existence of non-trivial subcritical initial data indicates that the nonlocal look-ahead interactions can help avoid shock formations, and hence prevent the creation of traffic jams." @default.
• W4225511816 created "2022-05-05" @default.
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• W4225511816 date "2023-10-01" @default.
• W4225511816 modified "2023-09-30" @default.
• W4225511816 title "Sharp critical thresholds for a class of nonlocal traffic flow models" @default.
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• W4225511816 doi "https://doi.org/10.1016/j.nonrwa.2023.103899" @default.
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