Gugat M, Hante F, Hirsch-Dick M, Leugering G (2015)

Publication Status: Published

Publication Type: Journal article

Publication year: 2015


Publisher: American Institute of Mathematical Sciences (AIMS)

Book Volume: 10

Pages Range: 295-320

Journal Issue: 2

DOI: 10.3934/nhm.2015.10.295


Pipeline networks for gas transportation often contain circles. For such networks it is more difficult to determine the stationary states than for networks without circles. We present a method that allows to compute the stationary states for subsonic pipe flow governed by the isothermal Euler equations for certain pipeline networks that contain circles. We also show that suitably chosen boundary data determine the stationary states uniquely. The construction is based upon novel explicit representations of the stationary states on single pipes for the cases with zero slope and with nonzero slope. In the case with zero slope, the state can be represented using the Lambert-W function.

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How to cite


Gugat, M., Hante, F., Hirsch-Dick, M., & Leugering, G. (2015). STATIONARY STATES IN GAS NETWORKS. Networks and Heterogeneous Media, 10(2), 295-320.


Gugat, Martin, et al. "STATIONARY STATES IN GAS NETWORKS." Networks and Heterogeneous Media 10.2 (2015): 295-320.

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