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Licensed Unlicensed Requires Authentication Published by De Gruyter 2022

3 Limits of stabilizability for a semilinear model for gas pipeline flow

From the book Optimization and Control for Partial Differential Equations

  • Martin Gugat and Michael Herty


We present a positive and negative stabilization results for a semilinear model of gas flow in pipelines. For feedback boundary conditions, we obtain unconditional stabilization in the absence and conditional instability in the presence of the source term. We also obtain unconditional instability for the corresponding quasilinear model given by the isothermal Euler equations.

© 2022 Walter de Gruyter GmbH, Berlin/Boston
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