Optimal transport on gas networks
- Optimal transport tasks naturally arise in gas networks, which include a variety of constraints such as physical plausibility of the transport and the avoidance of extreme pressure fluctuations. To define feasible optimal transport plans, we utilize a p-Wasserstein metric and similar dynamic formulations minimizing the kinetic energy necessary for moving gas through the network, which we combine with suitable versions of Kirchhoff’s law as the coupling condition at nodes. In contrast to existing literature, we especially focus on the non-standard case p =/ 2 to derive an overdamped isothermal model for gases through p-Wasserstein gradient flows in order to uncover and analyze underlying dynamics. We introduce different options for modelling the gas network as an oriented graph including the possibility to store gas at interior vertices and to put in or take out gas at boundary vertices.
| Author: | Ariane Fazeny, Martin Burger, Jan-Frederik PietschmannORCiDGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1218591 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/121859 |
| ISSN: | 0956-7925OPAC |
| ISSN: | 1469-4425OPAC |
| Parent Title (English): | European Journal of Applied Mathematics |
| Publisher: | Cambridge University Press (CUP) |
| Place of publication: | Cambridge |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2026 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2025/05/09 |
| Volume: | 37 |
| Issue: | 3 |
| First Page: | 553 |
| Last Page: | 585 |
| DOI: | https://doi.org/10.1017/s0956792525000051 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Inverse Probleme | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  CC-BY 4.0: Creative Commons: Namensnennung |
