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math.NA2021★ 1 cited
On the relation of powerflow and Telegrapher's equations: continuous and numerical Lyapunov stability
Eike Fokken, Simone Göttlich
In this contribution we analyze the exponential stability of power networks modeled with the Telegrapher's equations as a system of balance laws on the edges. We show the equivalen…
math.NA2020
A two-dimensional multi-class traffic flow model
Caterina Balzotti, Simone Göttlich
The aim of this work is to introduce a two-dimensional macroscopic traffic model for multiple populations of vehicles. Starting from the paper [20], where a two-dimensional model f…
math.NA2020
Second-order traffic flow models on networks
Simone Göttlich, Michael Herty, Salissou Moutari +1
This paper deals with the Aw-Rascle-Zhang model for traffic flow on uni-directional road networks. For the conservation of the mass and the generalized momentum, we construct weak…