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math.AP2026
p-Wasserstein distances on networks and 3D to 1D convergence
Martin Burger, Ariane Fazeny, Gilles Mordant +1
We study transport distances on metric graphs representing gas networks. Starting from the dynamic formulation of the Wasserstein distance, we review extensions to networks, with a…
math.AP2024★ 3 cited
Optimal transport on gas networks
Ariane Fazeny, Martin Burger, Jan-Frederik Pietschmann
This paper models gas networks as metric graphs, with isothermal Euler equations at the edges, Kirchhoff's law at interior vertices and time-(in)dependent boundary conditions at bo…