TY - JOUR A1 - Gugat, Martin A1 - Leugering, Günter A1 - Hante, Falk ED - Piccoli, Benedetto T1 - Stationary States in Gas Networks JF - Networks and Heterogeneous Media N2 - 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. KW - Network Y1 - 2016 U6 - https://doi.org/doi:10.3934/nhm.2015.10.295 VL - 10 IS - 2 SP - 295 EP - 320 ER -