Preprint

PUBDB-2026-00988

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Optimal transport on gas networks

Fazeny, A. (Corresponding author)DESY* ; Burger, M.DESY* ; Pietschmann, J.-F.Extern*

2025

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Please use a persistent id in citations: doi:10.3204/PUBDB-2026-00988

Report No.: arXiv:2405.01698

Abstract: 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 boundary vertices. For this setup, a generalized $p$-Wasserstein metric in a dynamic formulation is introduced and utilized to derive $p$-Wasserstein gradient flows, specifically focusing on the non-standard case $p = 3$.

Note: 43 pages, 5 figures, submitted to EJAM (Evolution Equations on Graphs: Analysis and Applications)

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Contributing Institute(s):

1. Computational Imaging (FS-CI)

Research Program(s):

1. 623 - Data Management and Analysis (POF4-623) (POF4-623)
2. DFG project 461909888 - FOR 5387: Gedruckte & stabile organische Photovoltaik mit Nicht-Fullerenakzeptoren (461909888) (461909888)

Experiment(s):

1. No specific instrument

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Database coverage:
; ; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Fazeny, A. (Corresponding author)DESY* ; Burger, M.DESY* ; Pietschmann, J.-F.Extern*
Optimal transport on gas networks
European journal of applied mathematics NN, NN (2025) [10.1017/S0956792525000051] special issue: "Evolution Equations on Graphs: Analysis and Applications"2025     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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