TY - CHAP A1 - Leugering, Günter A1 - Mophou, Gisèle ED - Schulz, Volker T1 - Instantaneous optimal control of friction dominated flow in a gas-network T2 - DFG-AIMS-Workshop, in Mbour, Senegal, 13-16. March 2017 N2 - We consider optimal control problems for the flow of gas in a pipe network. The equations of motions are taken to be represented by a nonlinear model derived from a semi-linear approximation of the fully nonlinear isothermal Euler gas equations. We formulate an optimal control problem on a given network and introduce a time discretization thereof. We then study the well-posedness of the corresponding time-discrete optimal control problem. In order to further reduce the complexity, we consider an instantaneous control strategy. This involves a p-Laplace-type problem on the graph with p =3/2. We prove well-posedness, existence of optimal controls and derive a first order optimality condition. Y1 - 2017 VL - International Series for Numerical Mathematics PB - Birkhäuser ER -