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
Authors with CRIS profile
Martin Gugat
Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)
Involved external institutions
Germany (DE)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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