34 citations · 210 across the 52 of their papers we have counts for
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math.AP2020★ 7 cited
Stability and asymptotic analysis for instationary gas transport via relative energy estimates
Herbert Egger, Jan Giesselmann
We consider the transport of gas in long pipes and pipeline networks for which the dynamics are dominated by friction at the pipe walls. The governing equations can be formulated a…
math.AP2020
On the transport limit of singularly perturbed convection-diffusion problems on networks
Herbert Egger, Nora Philippi
We consider singularly perturbed convection-diffusion equations on one-dimensional networks (metric graphs) as well as the transport problems arising in the vanishing diffusion lim…