Modeling, Control and Numerics of Gas Networks

Martin Gugat; Michael Herty

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arxiv 2010.02743 v1 pith:YNT7ID3S submitted 2020-10-05 math.AP cs.NAmath.NA

Modeling, Control and Numerics of Gas Networks

Martin Gugat , Michael Herty This is my paper

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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.

Modeling, Control and Numerics of Gas Networks

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