**Some Traffic Flow Models Illustrating Interesting Hyperbolic Behavior
**

by R. J. LeVeque, technical report, July, 2001.

**Abstract.**
This note was prepared for a minisymposium on traffic
flow at the SIAM Annual Meeting, July 10, 2001.
It contains a brief discussion of two traffic flow
models that illustrate some interesting aspects of
the theory of nonlinear hyperbolic conservation laws.
The first is a model of night-time driving that
gives a nonconvex flux function in the classical LWR
model, but for which the standard Oleinik entropy
condition is not the correct admissibility condition.
The second example includes a stiff source term and
was designed to illustrate some basic features of
detonation waves in a relatively simple context.

Preprint: .pdf