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Optimal transport on gas networks
- Publication Year :
- 2024
-
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 $p = 3$.<br />Comment: 43 pages, 5 figures, submitted to EJAM (Evolution Equations on Graphs: Analysis and Applications)
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2405.01698
- Document Type :
- Working Paper