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@ARTICLE{Fazeny:624848,
      author       = {Fazeny, Ariane and Burger, Martin and Pietschmann,
                      Jan-Frederik},
      title        = {{O}ptimal transport on gas networks},
      journal      = {European journal of applied mathematics},
      volume       = {xx},
      issn         = {0956-7925},
      address      = {Cambridge},
      publisher    = {Cambridge Univ. Press},
      reportid     = {PUBDB-2025-00930},
      pages        = {xx},
      year         = {2025},
      note         = {Has already been accepted by the European Journal of
                      Applied Mathematics, L:MBVolume and Pages not clear yet},
      abstract     = {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 coupling condition
                      at the 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 modeling 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.},
      cin          = {FS-CI},
      ddc          = {510},
      cid          = {I:(DE-H253)FS-CI-20230420},
      pnm          = {623 - Data Management and Analysis (POF4-623)},
      pid          = {G:(DE-HGF)POF4-623},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)16},
      doi          = {10.1017/S0956792525000051},
      url          = {https://bib-pubdb1.desy.de/record/624848},
}