We are pleased to announce the initiation of our IFIP TC 7.2. Virtual Seminar Series, which will run on a monthly basis. The purpose of this series is to promote the exchange of ideas, experiences and recent developments of researchers from all nations, during these difficult times when we cannot travel and interact in person. More information on IFIP TC 7 and its working groups can be found at https://ifip-tc7.impan.pl/ .[The seminar will run every month at 12pm EST USA. The seminar time is chosen so that we accommodate – as much as possible – people attending from all over the world. For your reference, here’s an interactive time zone map https://www.timeanddate.com/time/map/].
All are welcome to join us via Zoom. If interested, please email me for the Zoom link.
- March 2, at 12pm EST (noon) USA.
Professor Alberto Bressan
Eberly Family Chair Professor of Mathematics
Director, Center for Interdisciplinary Mathematics
The Pennsylvania State University
http://personal.psu.edu/axb62/Title: Traffic flow on a network of roads
Abstract: A mathematical description of traffic flow can be provided in terms of conservation laws, describing the density of cars along each road. Additional conditions are then used, to model flow at intersections. One can also look at daily traffic patterns as the result of the decisions of a large number of drivers, trying to minimize the time spent on the road and a penalty for late arrival. This leads to the problem of finding a globally optimal solution, which minimizes the sum of the costs to all drivers, or a Nash equilibrium solution, where no driver can lower his individual cost by changing his own departure time or his route to reach destination. The talk will review some of these models, discussing main results and current research directions.
- February 2, at 12pm EST (noon) USA.
Professor Christian ClasonUniversity of Duisburg-Essen, GermanyChair of IFIP TC 7.4
Title: Optimal control of non-smooth partial differential equations
Abstract: This talk is concerned with PDE-constrained optimization problems where the PDE constraint involves Lipschitz continuous but not classically differentiable terms. Correspondingly, the control-to-state mapping is not differentiable either, and classical approaches fail. In particular, there exists a zoo of optimality conditions of different strengths, roughly corresponding to different generalized derivatives of the control-to-state mapping. We derive such optimality conditions for model problems and discuss how they can be used for their numerical solution. This talk is based on joint work with Constantin Christof, Christian Meyer, Vu Huu Nhu, and Arnd Rösch.