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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…
cond-mat.stat-mech2021
Density dependent diffusion models for the interaction of particle ensembles with boundaries
Jennifer Weissen, Simone Göttlich, Dieter Armbruster
The transition from a microscopic model for the movement of many particles to a macroscopic continuum model for a density flow is studied. The microscopic model for the free flow i…