Bi-continuous semigroups for flows on infinite networks

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

We study transport processes on infinite metric graphs with nonconstant velocities and matrix boundary conditions in the L -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 -spaces, perturbations
• Work type: Scientific work
• 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
• 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

Secondary language

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

Projects

• Funder: ARRS - Slovenian Research Agency
• Project number: P1-0222
• Name: Algebra v teoriji operatorjev in finančna matematika