Bi-continuous semigroups for flows on infinite networks

Budde, Christian (author), Kramar Fijavž, Marjeta (author)

We study transport processes on infinite metric graphs with non-constant velocities and matrix boundary conditions in the L$^\infty$-setting. We apply the theory of bi-continuous operator semigroups to obtain well-posedness of the problem under different assumptions on the velocities and for general stochastic matrices appearing in the boundary conditions.

• Language: English
• Keywords: transport equations, infinite metric graphs, bi-continuous operator semigroups, Bochner L$^\infty$-spaces, perturbations
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FGG - Faculty of Civil and Geodetic Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2021
• Number of pages: Str. 553-567
• Numbering: Vol. 16, no. 4
• PID: 20.500.12556/RUL-132825
• UDC: 517.98
• ISSN on article: 1556-1801
• DOI: 10.3934/nhm.2021017
• COBISS.SI-ID: 83418883

Copyright

Podatek o licenci CC BY 4.0 je naveden na pristajalni strani članka – glej izvorni URL zgoraj. (Datum opombe: 15. 5. 2025)

• Publication date in RUL: 04.11.2021

Record is a part of a journal

• Title: Networks and heterogeneous media
• Shortened title: Netw. heterog. media
• Publisher: American Institute of Mathematical Sciences
• ISSN: 1556-1801
• COBISS.SI-ID: 15044697

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Keywords: transportna enačba, neskončni metrični grafi, bi-zvezne operatorske polgrupe, Bochnerjevi L$^\infty$-prostori, perturbacije