Limits of stabilizability for a semilinear model for gas pipeline flow

Gugat M, Herty M (2022)


Publication Language: English

Publication Type: Book chapter / Article in edited volumes

Publication year: 2022

Publisher: De Gruyter

Edited Volumes: Optimization and Control for Partial Differential Equations

Series: Radon Series on Computational and Applied Mathematics

Book Volume: 29

Pages Range: 59-71

ISBN: 9783110695984

DOI: 10.1515/9783110695984-003

Abstract

We present a positive and negative stabilization results for a semilinear model of gas flow in pipelines. 

For feedback boundary conditions, we obtain un-conditional 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.

We present a positive and negative stabilization results for a semilinearmodel of gas flow in pipelines. For feedback boundary conditions, we obtain un-conditional stabilization in the absence and conditional instability in the presenceof the source term. We also obtain unconditional instability for the correspondingquasilinearmodelgivenbytheisothermalEulerequationsWe present a positive and negative stabilization results for a semilinearmodel of gas flow in pipelines. For feedback boundary conditions, we obtain un-conditional stabilization in the absence and conditional instability in the presenceof the source term. We also obtain unconditional instability for the correspondingquasilinearmodelgivenbytheisothermalEulerequationsWe present a positive and negative stabilization results for a semilinearmodel of gas flow in pipelines. For feedback boundary conditions, we obtain un-conditional stabilization in the absence and conditional instability in the presenceof the source term. We also obtain unconditional instability for the correspondingquasilinearmodelgivenbytheisothermalEulerequations

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How to cite

APA:

Gugat, M., & Herty, M. (2022). Limits of stabilizability for a semilinear model for gas pipeline flow. In Roland Herzog, Matthias Heinkenschloss, Dante Kalise, Georg Stadler und Emmanuel Trélat (Eds.), Optimization and Control for Partial Differential Equations. (pp. 59-71). De Gruyter.

MLA:

Gugat, Martin, and Michael Herty. "Limits of stabilizability for a semilinear model for gas pipeline flow." Optimization and Control for Partial Differential Equations. Ed. Roland Herzog, Matthias Heinkenschloss, Dante Kalise, Georg Stadler und Emmanuel Trélat, De Gruyter, 2022. 59-71.

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