Stability and asymptotic analysis for instationary gas transport via relative energy estimates

Submission Status:under review
  • We consider the transport of gas in long pipes and pipeline networks for which the dynamics are dominated by friction at the pipe walls. The governing equations can be formulated as an abstract dissipative Hamiltonian system which allows us to derive perturbation bounds by means of relative energy estimates. As particular consequences, we obtain stability with respect to initial conditions and model parameters and quantitative estimates in the high friction limit. Our results are established in detail for the flow in a single pipe and through the energy-based modelling they naturally generalize also to pipe networks.

Download full text files

Export metadata

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Jan Giesselmann, Herbert Egger
Document Type:Preprint
Language:English
Date of Publication (online):2020/12/28
Date of first Publication:2020/12/28
Release Date:2020/12/28
Tag:asymptotic limits; gas transport on networks; hyperbolic balance laws; relative energy estimates; singular perturbations
Institutes:Technische Universität Darmstadt
Subprojects:C04
C05
Licence (German):License LogoCreative Commons - CC BY-NC-ND - Namensnennung - Nicht kommerziell - Keine Bearbeitungen 4.0 International
Einverstanden ✔
Diese Webseite verwendet technisch erforderliche Session-Cookies. Durch die weitere Nutzung der Webseite stimmen Sie diesem zu. Unsere Datenschutzerklärung finden Sie hier.