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In this article we survey recent progress on mathematical results on gas flowin pipe networks with a special focus on  questions of control and stabilization. We briefly present the modeling ofgas flow and coupling conditions for flow through vertices of a network. Ourmain focus is on gas models for spatially one-dimensional flow governed byhyperbolic balance laws. We survey results on classical solutions as well asweak solutions.  We present results on well--posedness,  controllability, feedback stabilization,  the inclusion of uncertainty in the models and numerical methods.

Modeling, Control and Numerics of Gas Networks