On a Functional-Differential Equation Arising from a Traffic Flow Model

Coupling of non-local driving behaviour with fundamental diagrams

“…They further contain a number of analytical and numerical investigations concerning the qualitative behaviour of solutions, such as the formation and propagation of traveling wave solutions, the impact of a local speed limit, and the origin of stop-and-go waves. In [22] the functional-differential equation arising for the propagation of a traveling braking wave is discussed as an interesting mathematical object in its own right.…”