Applications of scalar conservation laws in WT 23/24
| Veranstaltung | Zeit | Ort | Bemerkung |
| Vorlesung | Tuesday 8:30-10:00 | 224.3 | Start: 10.10.23 (weekly) |
| Übung | Thursday 12:30-14:00 | 224.3 | Start: 19.10.23 (bi-weekly) |
Inhalt der Vorlesung
We will consider several applications, such as traffic flow, supply chains and pedestrian flow. We will cover- modelling at different scales, e.g. micro- and macroscopic models
- solution concepts, in particular for networks of conservation laws
- corresponding numerical approximations
There will be one lecture per week and one tutorial every two weeks. The course is inteded for master students. For the exam admission some smaller programming tasks have to be solved.
Language: English or German.
If you are interested in the course or would like more information, please contact me.
Literatur
- D. Armbruster, P. Degond, and C. Ringhofer: A model for the dynamics of large queuing networks and supply chains
SIAM J. Appl. Math., 66 (2006), pp. 896–920. - M. Burger, S. Göttlich, and T. Jung: Derivation of a first order traffic flow model of lighthill-whitham-richards type
IFAC-PapersOnLine, 51 (2018), pp. 49–54, 15th IFAC Symposium on Control in Transportation Systems CTS 2018. - D'Apice, S. Göttlich, M. Herty, and B. Piccoli: Modeling, Simulation, and Optimization of Supply Chains
SIAM, Philadelphia, PA, 2010. - M. Garavello and B. Piccoli: Traffic Flow on Networks
AIMS Series on Applied Mathematics, Springfield, 2006.