TY - JOUR A1 - Martin, Gugat A1 - Herty, Michael A1 - Müller, Siegfried ED - Piccoli, Benedetto T1 - Coupling conditions for the transition from supersonic to subsonic fluid states JF - Networks and Heterogeneous Media (NHM) N2 - We discuss coupling conditions for the p-system in case of a transition from supersonic states to subsonic states. A single junction with adjacent pipes is considered where on each pipe the gas ow is governed by a general p-system. By extending the notion of demand and supply known from traffic fiow analysis we obtain a constructive existence result of solutions compatible with the introduced conditions. KW - p-system KW - coupling conditions KW - network Y1 - 2017 U6 - https://doi.org/10.3934/nhm.2017016 VL - 12 IS - 3 SP - 371 EP - 380 ER -