Optimal transport on gas networks
| Autor: | Fazeny, Ariane, Burger, Martin, Pietschmann, Jan-Frederik |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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 $p = 3$. Comment: 43 pages, 5 figures, submitted to EJAM (Evolution Equations on Graphs: Analysis and Applications) |
| Databáze: | arXiv |
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