PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Kris Jenssen, Yuxi Zheng.

Title:Vacuum on the highway
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Harald Hanche-Olsen, Norwegian University of Science and Technology
Abstract:
The study of traffic flow using nonlinear conservation laws stems back at least to 1955, with a paper by Lighthill and Whitham and one by Richards. These first order models have been quite successful, but have their limitations which many authors have tried to address with various higher order models. I will touch briefly of the history and arrive quickly at a model developed by Aw and Rascle in the form of a 2×2 system of conservation laws (or balance laws, if a relaxation term is included). This system is a Temple system, and hence its well-posedness is easily established. That is, unless vacuum (i.e., stretches of roadway with no traffic) can occur. In this case, strict hyperbolicity breaks down and we lose control over the total variation of the solution. I shall outline two existence proofs, and discuss questions of uniqueness and stability. This is joint work with Marte Godvik.

Room Reservation Information

Room Number:MB106
Date:10 / 02 / 2009
Time:03:35pm - 04:25pm