Wen Shen, Penn State University
601 Pao Yue-Kong Library
Various models for traffic flow will be presented. We discuss several particle models, both local and nonlocal, which results in (infinitely) large system of ODEs. We also present several PDE models where the density of the cars is the main unknown. These include conservation laws, nonlocal flux, relaxation models, high order models, and models where road condition is rough. Some theoretical results concerning traveling waves will be presented, and open research topics will be discussed.