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