Seminario di Equazioni Differenziali e Applicazioni: “Flows on Networks”

Martedì 6 Marzo 2018, ore 12:00 - Aula 2BC30 - Michael Herty


Martedì 6 Marzo 2018 alle ore 12:00 in Aula 2BC30, Michael Herty (RWTH Aachen University) terrà un seminario dal titolo “Flows on Networks”.

We are interested in the spatially and temporal flow patterns on networks. The latter are modeled as directed graphs. The dynamics on the arcs is typically governed by (systems of) spatially one-dimensional hyperbolic conservation or balance laws. The dynamics is then coupled at nodal points of networks which may involve a control variable. We present the mathematical modeling of such processes, analytical results on the coupled problems, as well as numerical results. Extension to control problems and to different graph structures will also be presented.

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