• search hit 9 of 50
Back to Result List

Optimal boundary control of the isothermal semilinear Euler equation for gas dynamics on a network

Submission Status:under review
  • The analysis and boundary optimal control of the nonlinear transport of gas on a network of pipelines is considered. The evolution of the gas distribution on a given pipe is modeled by an isothermal semilinear compressible Euler system in one space dimension. On the network, solutions satisfying (at nodes) the Kirchhoff flux continuity conditions are shown to exist in a neighborhood of an equilibrium state. The associated nonlinear optimization problem then aims at steering such dynamics to a given target distribution by means of suitable (network) boundary controls while keeping the distribution within given (state) constraints. The existence of local optimal controls is established and a corresponding Karush-Kuhn-Tucker (KKT) stationarity system with an almost surely non-singular Lagrange multiplier is derived.

Download full text files

Export metadata

Metadaten
Author:Marcelo Bongarti, Hintermüller
Document Type:Preprint
Language:English
Date of Publication (online):2023/05/03
Release Date:2023/05/03
Tag:compressible fluid dynamics; gas dynamics; gas networks; isothermal Euler equation; optimal boundary control
Institutes:Humboldt-Universität zu Berlin
Weierstraß-Institut für Angewandte Analysis und Stochastik
Subprojects:B02
Licence (German):License LogoCreative Commons - CC BY-NC-ND - Namensnennung - Nicht kommerziell - Keine Bearbeitungen 4.0 International