For more information about this meeting, contact Kris Jenssen, Yuxi Zheng.
| Title: | Vacuum on the highway |
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| Seminar: | Computational and Applied Mathematics Colloquium |
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| Speaker: | Harald Hanche-Olsen, Norwegian University of Science and Technology |
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| Abstract: |
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| 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 |
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| Date: | 10 / 02 / 2009 |
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| Time: | 03:35pm - 04:25pm |
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