Shock formation in traffic flow models with nonlocal look ahead and behind flux
arXiv:2304.07639
Abstract
In this work, we study a Lighthill-Whitham-Richard (LWR) type traffic flow model with a non-local flux. We identify a threshold condition for shock formation for traffic flow models with Arrhenius look-ahead-behind (i.e., nudging) dynamics with concave-convex flux.
to be published in SGMC2021 - 1st Southern Georgia Mathematics Conference